Lab 05 Force and Motion Part I
docx
keyboard_arrow_up
School
University of Cincinnati, Main Campus *
*We aren’t endorsed by this school
Course
2001L
Subject
Mechanical Engineering
Date
Apr 3, 2024
Type
docx
Pages
7
Uploaded by DukeGrasshopper4065
Lab 05: Force and Motion Part I
I.
Develop an experimental mathematical model to describe the behavior of a system
a.
Brainstorm
Mass of the system, hanging mass, force of gravity, air resistance
b.
Select an IV to test
Experimental Design Template
Research Question:
How does the acceleration of a system change when hanging mass changes?
Dependent variable (DV):
Acceleration of a system
Independent variable (IV):
Hanging mass
Control variables (CV):
Mass of the system: 0.3044kg, length of the string: 1.04m, starting point: 0.85m
Testable Hypothesis:
There is a positive correlation between the hanging mass and the acceleration of a system.
Prediction:
c.
Complete the experimental design.
x-axis
y-axis
Air track
Glider system
Hanging mass hook
Weights
Meter stick
Scale
We will be doing 8 trials and will use values of 0.0094kg, 0.0144kg, 0.0194kg, 0.0244kg
d.
Conduct the experiment.
The uncertainty of the measured values for acceleration is ±0.001m/s2 due to the rotary motion sensor’s estimated scale uncertainty, given in this lab.
The uncertainty of the measured values for the length of the string and position of the system is ±0.0005m due to the meter stick’s estimated uncertainty, given in a previous lab.
The uncertainty of the masses is ±0.001kg due to the scale’s estimated uncertainty, given in a previous lab.
Hanging mass
(kg)
Trial 1
(m/s
2
)
Trial 2
(m/s
2
)
Trial 3
(m/s
2
)
Average
(m/s
2
)
0.0094
0.288 ± 5.2*10
-4
0.289 ± 2.8*10
-4
0.290 ± 2.2*10
-4
0.289
0.0114
0.349 ± 3.0*10
-4
0.346 ± 6.2*10
-4
0.349 ± 5.1*10
-4
0.348
0.0134
0.407 ± 3.4*10
-4
0.407 ± 4.2*10
-4
0.404 ± 1.1*10
-3
0.406
0.0154
0.467 ± 5.0*10
-4
0.467 ± 5.3*10
-4
0.466 ± 4.9*10
-4
0.467
0.0174
0.525 ± 2.8*10
-4
0.526 ± 6*10
-4
0.524 ± 6.4*10
-4
0.525
0.0194
0.575 ± 7.1*10
-4
0.574 ± 5.7*10
-4
0.575 ± 5.5*10
-4
0.575
0.0214
0.630 ± 5.3*10
-4
0.630 ± 6.5*10
-4
0.630 ± 6.9*10
-4
0.630
0.0234
0.683 ± 6.8*10
-4
0.684 ± 9.4*10
-4
0.677 ± 2.8*10
-3
0.681
e.
Enter collected data into Excel
f.
Consider the mathematical model provided by Excel
a
=
2.8663
F
+
0.0295
2.8663 (1/kg) and 0.0295 (m/s
2
)
A causal relationship exists between the acceleration (a) and the gravitational force (F) if the mass of the system, length of the string, starting point is held constant, indicating a positive linear function.
II.
Developing a second experimental mathematical model to describe the behavior of the system.
a.
Select a second IV.
Mass of the system
b.
Repeat all steps in Part I.
Experimental Design Template
Research Question:
How does the acceleration of a system change when the mass of the system changes?
Dependent variable (DV):
Acceleration of a system
Independent variable (IV):
Mass of the system
Control variables (CV):
Hanging mass: 0.0234kg, length of the string: 1.04m, starting point: 0.85m
Testable Hypothesis:
There is a negative correlation between the mass of the system and the acceleration of a system.
Prediction:
c.
Complete the experimental design.
8 trials, values of 0.3044kg, 0.3544kg, 0.4044kg, 0.4544kg, 0.5044kg, 0.5544kg, 0.6044kg, 0.6544kg
d.
Conduct the experiment.
The uncertainty of the measured values for acceleration is ±0.001m/s2 due to the rotary motion sensor’s estimated scale uncertainty, given in this lab.
The uncertainty of the measured values for the length of the string and position of the system is ±0.0005m due to the meter stick’s estimated uncertainty, given in a previous lab.
x-axis
y-axis
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
The uncertainty of the masses is ±0.001kg due to the scale’s estimated uncertainty, given in a previous lab.
System mass
(kg)
Trial 1
(m/s
2
)
Trial 2
(m/s
2
)
Trial 3
(m/s
2
)
Average
(m/s
2
)
0.3044
0.687 ± 4.8*10
-4
0.688 ± 5.6*10
-4
0.687 ± 1.3*10
-4
0.687
0.3544
0.596 ± 9.5*10
-4
0.595 ± 1.0*10
-4
0.597 ± 3.4*10
-4
0.595
0.4044
0.528 ± 6.7*10
-4
0.528 ± 5.2*10
-4
0.528 ± 5.6*10
-4
0.528
0.4544
0.473 ± 4.4*10
-4
0.472 ± 4.8*10
-4
0.471 ± 8.1*10
-4
0.472
0.5044
0.428 ± 4.6*10
-4
0.429 ± 4.1*10
-4
0.428 ± 4.7*10
-4
0.428
0.5544
0.391 ± 4.1*10
-4
0.392 ± 2.2*10
-4
0.392 ± 5.8*10
-4
0.392
0.6044
0.361 ± 4.0*10
-4
0.362 ± 4.0*10
-4
0.361 ± 3.3*10
-4
0.361
0.6544
0.335 ± 2.5*10
-4
0.335 ± 3.9*10
-4
0.335 ± 3.1*10
-4
0.335
e.
Enter collected data into Excel
f.
Consider the mathematical model provided by Excel
a
=
0.2252
m
−
0.938
0.2252 (N) and -0.938
A causal relationship exists between the acceleration (a) and the system mass (F) if the hanging mass, length of the string, starting point is held constant, indicating a negative power function.
III.
Connecting Experimental Model to Established Scientific Model
a.
Define established scientific model for the acceleration of a system.
a
∝
F
net
, hanging mass vs. acceleration of a system
a
∝
1
m
, mass of a system vs. acceleration of a system
b.
Compare your experimental model with the established scientific model.
a
=
2.8663
F
+
0.0295
, hanging mass vs acceleration of system
a
=
0.2252
m
0.938
, mass of system vs acceleration of system
The relationships represented in our mathematical models and the scientific equation are very similar to the established models for the acceleration of a system in relation to the hanging mass, as the hanging mass and the acceleration of a system are proportional, while the mass of the system is inversely proportional to the acceleration of the system. The only difference in the models is that the mass value in the equation for the mass of a system vs. acceleration of a system has an exponential value of 0.938, which may be partially attributed to the uncertainty values of the data.
c.
Create an Experimental Outcomes Organizer
IV.
Final Wrap-Up Questions
a.
Summarize the group’s findings into a general conclusion.
The results of the experiment for hanging mass vs. the acceleration of a system indicated a positive linear relationship when the mass of the system, string length, and starting point held constant. We conducted 3 trials for each of 8 masses, taking the average acceleration of each mass and using that result in the
graph. The R^2 value of the trend line for this data was 0.999, indicating a very Hanging mass (IV 1)
Mass of the system (IV 2)
Acceleration of system (DV)
Experimental Relationship: a=2.8663F+0.0295 found when the length of the string, starting point, and mass of the system held constant
Experimental Relationship: a=0.2252/(m^(0.938)) found when the length of the string, starting point, and hanging mass held constant
Established relationship: a
∝
Fnet
Mechanism explained: There is no mechanism to describe here
Mechanism explained: There is no mechanism to describe here
Established relationship: a1/m
∝
strong fit. The results for the experiment for the mass of a system vs. the acceleration of a system indicated a negative power relationship when the hanging mass, string length, and starting point held constant. We conducted 3 trials for each of 8 masses, taking the average acceleration of each mass and using that result in the graph. The R^2 value of the trend line for this data was 1, indicating a perfect fit. Therefore, we found that the hanging mass is directly proportional to the acceleration of a system and the mass of a system is inversely proportional to the acceleration of a system.
b.
Evaluate the evidence and resulting experimental model using the questions below as a guide.
Should the measurements collected when testing each IV be trusted? Would you expect similar numbers and/or a similar pattern if the experiment were repeated? Provide justification. Consider the ranges of measurement uncertainty and how closely the plotted points follow a pattern or trend
1.
Yes, the measurements collected when testing each IV should be trusted, and we would expect similar numbers and/or a similar pattern if the experiment were repeated, as the uncertainty values of all measurements were significantly small, the equations
for both IVs match the established equations well, and the range of values for each independent variable tested was large, as we did 8 different values with 3 trials for each, then took the average for each value for the graphs.
Should the equation determined using Excel be trusted for making accurate predictions for the acceleration of a system for masses and applied forces different from those tested in lab? Provide justification. Possibly include fit of the trendline, R^2 value, range of IV values tested and plotted on graph, and how well the experimental equation matches the established equation.
1.
Yes, the equation determined using Excel should be trusted for making accurate predictions for the acceleration of a system for masses and applied forces different from those tested in lab, as the trendline fits the data very well, the graphs have an R^2 value of 1 and 0.999, we did three trials for 8 values each for the hanging mass and the mass of the system, and the experimental equation matches the established equation well for both independent variables.
c.
Identify limitations by stating conditions for which claims hold.
Include the CV values, range of values used for IV. For each IV, state conditions for which the resulting claim holds
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
1.
The limitations for these experiments are that the mass of the system, length of the string, and starting position must remain constant when testing the hanging mass in relation to the acceleration of a system, and the hanging mass, length of the string, and starting position must remain constant when testing the mass of the system in relation to the acceleration. Also, the range of values for the mass of the system must not be too large, as the system will not move if the mass exceeds a certain amount.
d.
Consider a hypothetical scenario
e.
A physics student claims that Newton's second law (
= ) can be used to 𝐹
𝑚𝑎
predict the net force necessary to obtain a desired acceleration. What relationship, correlational or causal, exists between net force and acceleration if mass is constant? Explain
If the mass is constant, there is a causal relationship between the net force and acceleration if the mass is constant because as the acceleration increases, so too does the net force, and the acceleration is the only factor that is changing/would affect the net force. A change in acceleration would have a direct impact on the net force.
Related Questions
please show work
answer is D
arrow_forward
Problem 1 (15 points) (Core Course Outcome 5)/MatlabGrader
Write a function mySecond Derivative Order 3 that calculates the second derivative d²y/dx² of a data set (x, y) with at least
third order accuracy at each data point. The data is equidistant in x with spacing h.
The function input shall be
⚫y: one-dimensional column vector of y values
⚫h: scalar value of spacing h
The function output shall be
• d2y: column vector of the same size as y containing d²y/dx²
Calculate d²y/dx² using only the following formulas that use the nomenclature of Table 8-1 and the lecture notes, but are different
from the formulas listed there:
f" (xi) 164f(xi) — 465f(xi+1) + 460ƒ (xi+2) − 170ƒ (xi+3) + 11f (xi+5) + O(h³)
=
60h2
56f(xi−1) − 105f(xi) +40f(xi+1) + 10f(xi+2) − f(x+4) + O(h³)
60h²
−5f(xi−2) +80f(xi−1) − 150f(xi) + 80f(xi+1) − 5ƒ(xi+2)
(1)
f"(xi)
=
(2)
f"(xi)
=
+0(h)
(3)
60h2
f"(xi)
-2f(x-4)+5f(xi-3)+50f(xi-1) — 110f(xi) +57f(xi+1)
=
+0(h³)
(4)
60h²
f"(xi) =
57f(x-5) 230f(xi-4) + 290 f (xi-3)-235…
arrow_forward
The governing equation of motion for a base motion system is given by (assume the
units are Newton)
mä(t)+ci(t)+kx(t) =cY@, cos(@,t) +kY sin(@t)
%3D
Given that m =
180 kg, c = 30 kg/s, Y = 0.02 m,
and
о, — 3.5 rad/s
%3|
1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the
transmissibility ratio less than 0.85
2. Using the value of the stiffness obtained in part (1), determine the transmitted
force to the base motion system using Matlab or Excel.
3. Display and discuss your results.
arrow_forward
Sign in
PDF Lecture W09.pdf
PDF MMB241 - Tutorial L9.pdf
File C:/Users/KHULEKANI/Desktop/mmb241/MMB241%20-%20Tutorial%20L9.pdf
II!
Draw
| I│Alla | Ask Copilot
+
of 4
D
Topic: Kinetics of Particles: - Forces in dynamic system, Free body diagram, newton's laws of motion,
and equations of motion.
TQ1. The 10-kg block is subjected to the forces shown. In each case, determine its velocity
when t=2s if v 0 when t=0
500 N
F = (201) N
300 N
(b)
TQ2. The 10-kg block is subjected to the forces shown. In each case, determine its velocity at
s-8 m if v = 3 m/s at s=0. Motion occurs to the right.
40 N
F = (2.5 s) N
200 N
30 N
(b)
TQ3. Determine the initial acceleration of the 10-kg smooth collar. The spring has an
unstretched length of 1 m.
1
σ
Q
☆
Q
6
ا الى
☑
arrow_forward
lail - Ahmed Amro Hussein Ali A x n Course: EN7919-Thermodynamic x
Homework Problerns(First Law)_S x
noodle/pluginfile.php/168549/mod_resource/content/1/Homework%20Problems%28First%20Law%29_SOLUTIONS.pdf
UTIONS.pdf
4 / 4
100%
Problem-4: When a system is taken from a state-a to a state-b,
the figure along path a-c-b, 84 kJ of heat flow into the system,
and the system does 32 kJ of work.
(i) How much will the heat that flows into the system along the
path a-d-b be, if the work done is 10.5 kJ? (Answer: 62.5 kJ)
(ii) When the system is returned from b to a along the curved path, the work done on
the system is 21 kJ. Does the system absorb or liberate heat, and how much?
(Answer:-73 k])
(iii) If Ua = 0 andU, = 42kJ , find the heat absorbed in the processes ad and db.
(Answer: 52.5 kJ, 10 kJ)
arrow_forward
I need help with a MATLAB code. For question b.6 I have the MATLAB code shown below. How do I edit the code to answer question b.7. Please make sure the plots are reasonable.
clc;
clear all;
% Constants
mu = 398600; % Earth gravitational parameter, km^3/s^2
% Initial chief and deputy positions and velocities in ECI frame
% Assume circular orbits in equatorial plane for simplicity
a_c = 10000; % km
a_d = 11500; % km
r_c0 = [a_c; 0; 0];
v_c0 = [0; sqrt(mu/a_c); 0];
r_d0 = [a_d; 0; 0];
v_d0 = [0; sqrt(mu/a_d); 0];
% Initial relative state
delta_r0 = r_d0 - r_c0;
delta_v0 = v_d0 - v_c0;
x0 = [delta_r0; delta_v0]; % 6x1 initial relative state
% Time span
tspan = [0 3600]; % 1 hour in seconds
% Damping cases
cases = struct( ...
'name', {'Critically damped', 'Under-damped', 'Over-damped'}, ...
'Kr', {eye(3)*2.5e-3, eye(3)*0.001, eye(3)*0.01}, ...
'P', {eye(3)*0.01, eye(3)*0.0006, eye(3)*0.02} ...
);
% Simulate each case
for i = 1:length(cases)
Kr = cases(i).Kr;
P =…
arrow_forward
A mechanical system is presented as
below. There are four simulation
graphs for different values for m, b
and c tested for a step response.
Identify the graph for m=4 kg, b=0.3
N.s/m and k=1 N/m (Hint: you may
need to use matlab simulation to find
it).
m
1.8
1.6
1.4
b
·f(t)
Step Response
arrow_forward
1. For the following concentration expressions, indicate whether they are uniform or nonuniform
and in how many dimensions (OD, 1D, 2D, or 3D), and steady or unsteady. Then for the following
control volume and origin, and table of constants, use Excel or Matlab to graph profiles that
show how concentration changes within the control volume and over time to a limit of 20 for
the following: C(x,0,0,0), C(0,y,0,0), C(0,0,z,0) and C(0,0,0,t). On each graph, show which
parameters are held constant, the CV boundaries, and the point where all four plots overlap.
20
C(x=0)
10
a
0.0001
b
0.001
| 20
0.01
k
0.1
100
All of the following functions are C(space, time) and so not necessarily just x as suggested.
a. C,(x)= C,(x = 0)x exp{- ax}
arrow_forward
is a mass hanging by a spring under the influence of gravity. The force due to gravity, Fg, is acting
in the negative-y direction. The dynamic variable is y. On the left, the system is shown without spring deflection.
On the right, at the beginning of an experiment, the mass is pushed upward (positive-y direction) by an amount y₁.
The gravitational constant g, is 9.81 m/s².
DO
C.D
Frontly
у
Your tasks:
No Deflection
m
k
Fg = mg
Initial Condition
y
m
k
Write down an expression for the total energy If as the sum
Write down an expression for the total energy H
Fg = mg
Figure 3: System schematic for Problem 4.
Yi
&
X
Write down, in terms of the variables given, the total potential energy stored in the system when it is held in
the initial condition, relative to the system with no deflection.
as the sum of potential and kinetic energy in terms of y, y, yi
C After the system is released, it will start to move. Write down an expression for the kinetic energy of the
system, T, in terms of…
arrow_forward
You are part of a car accident investigative team, looking into a case where a car drove off a bridge. You are using the lab projectile launcher to simulate the accident and to test your mathematical model (an equation that applies to the situation) before you apply the model to the accident data. We are assuming we can treat the car as a projectile.
arrow_forward
Please help me Matlab
arrow_forward
Motiyo
Add explanation
arrow_forward
I want to run several shocks in my calibrated DSGE model.
I want the shock “a” to happen at period 0, shock “b” at period 2 and shock “c” at period 5.
Also, I want to run a shock of 1 % to the variable “a”, 2 % to variable “b” and 10 % to variable “c”.
How would I write it in the Dynare code?
The model is log-linearized around the steady state and all endogenous variables are set at 0 at the steady state.
arrow_forward
A Do Now- Work and Energy Tran: x
+
ure.com/courses/44384/assignments/1494085
Al. O Google Drive LTI
TumingPoint-Parti..
4 Roots, Multi, and Fu..
A Roots, Multi, and Fu.
A Roots, Multi, and Fu.
O https://student.pas.
y = 0
h
Write down an equation for the total energy in the system at point 1 and point 2, before and after
the change in height and speed.
Part 2- Complete the Table using the image above:
Use the tables below to calculate the kinetic energy of the cart at point 2 for the following values:
m=2,000 kg, h; = 30 m, hf= 16 m
Point 1 (initial)
Point 2 (final)
Ep (J)
Ex (J)
Ep (J)
Ek (J)
ETotal J)
ETotal (1)
arrow_forward
Manufacturing process with two variables x1,x2 described by the empirical model:
y=bo +b1 x1 + b2 x2 + b12 x1 x2 + b3 (x1)^2 +b4 (x2)^2
please refere to the image attached
arrow_forward
Please provide steps on how to derive the output of each container.
arrow_forward
From 1.31 1.32 and 1.33 show all work
arrow_forward
T'sec
In helical spring experiment a
student plotted the graph of T2
versus the oscillating mass (M), and
Used the slope to find the spring
:constant, the value of k is
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0.0
O.
O a. 13.3 N/m
O b. 6.8N/m
O c. 5 N/m
O d. 3.3 N/m
O e. 24 N/m
5
10 15 20 25 30 35 40 45 50 55 60 65
M (9)
70
75
80
arrow_forward
b₂
k₂
www
Radial direction
Disk
Disk
rotation
Parameters for the Optical Disk Drive System
Laser
k₁
www
Pick-up
head
(PUH)
Cart
Spindle
motor
Optical Disk Drive System Parameter
b₁
PUH mass, m
Chassis
PUH suspension stiffness, k
PUH suspension friction, b,
Chassis/cart mass, m
Chassis suspension stiffness, k,
Chassis suspension friction, by
Numerical Value
6(10) kg
60 N/m
0.03 N-s/m
0.124 kg
1960 N/m
6.23 N-s/m
Frame
Rubber vibration
Cart servo
motor
isolation mounts
arrow_forward
i just need part 3
arrow_forward
Given:
The plane accelerates in its current trajectory with a= 100 m/s^2
Farag
Angle theta= 5°
W=105 kips
F_drag= 80 kips
m= 1000 lbs
Find: F_thrust, F_lift
Please include the KD.
Fthrust
Futel t Fueight
000
BY NC SA
2013 Michael Swanbom
arrow_forward
Chapter 12 - Lecture Notes.pptx: (MAE 272-01) (SP25) DY...
Scores
arrow_forward
62. •A 5-kg object is constrained to move along a straight
line. Its initial speed is 12 m/s in one direction, and its final
speed is 8 m/s in the
opposite
Complete the graph of
force versus time with
direction.
F (N)
(s)
appropriate values for
both variables (Figure
7-26). Several answers
are correct, just be sure
that your answer is
internally consistent.
Figure 7-26 Problem 62
arrow_forward
Physics 121 Spring 2021 - Document #11: Homework #04 & Reading Assignment page 4 of 8
Problem 1: Gnome Ride - This from a Previous Exam
I.
A Gnome of given mass M goes on the Gnome Ride as follows: He stands on a horizontal
platform that is connected to a large piston so that the platform is driven vertically with a position
as a function of time according to the following equation:
y(t) = C cos(wt)
Here w is a constant given angular frequency, C is a given constant (with appropriate physical
units) and y represents the vertical position, positive upward as indicated.
Part (a) - What is the velocity of the Gnome at time t = 0? Explain your work. Present your
answer in terms of the given parameters
Part (b) – What is the net force on the Gnome at time t = 0? Explain your work. Present your
answer in terms of the given parameters
Part (c) – What is the Normal Force on the Gnome at time t = 0? Explain your work. Present
your answer in terms of the given parameters
Some Possibly Useful…
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Related Questions
- please show work answer is Darrow_forwardProblem 1 (15 points) (Core Course Outcome 5)/MatlabGrader Write a function mySecond Derivative Order 3 that calculates the second derivative d²y/dx² of a data set (x, y) with at least third order accuracy at each data point. The data is equidistant in x with spacing h. The function input shall be ⚫y: one-dimensional column vector of y values ⚫h: scalar value of spacing h The function output shall be • d2y: column vector of the same size as y containing d²y/dx² Calculate d²y/dx² using only the following formulas that use the nomenclature of Table 8-1 and the lecture notes, but are different from the formulas listed there: f" (xi) 164f(xi) — 465f(xi+1) + 460ƒ (xi+2) − 170ƒ (xi+3) + 11f (xi+5) + O(h³) = 60h2 56f(xi−1) − 105f(xi) +40f(xi+1) + 10f(xi+2) − f(x+4) + O(h³) 60h² −5f(xi−2) +80f(xi−1) − 150f(xi) + 80f(xi+1) − 5ƒ(xi+2) (1) f"(xi) = (2) f"(xi) = +0(h) (3) 60h2 f"(xi) -2f(x-4)+5f(xi-3)+50f(xi-1) — 110f(xi) +57f(xi+1) = +0(h³) (4) 60h² f"(xi) = 57f(x-5) 230f(xi-4) + 290 f (xi-3)-235…arrow_forwardThe governing equation of motion for a base motion system is given by (assume the units are Newton) mä(t)+ci(t)+kx(t) =cY@, cos(@,t) +kY sin(@t) %3D Given that m = 180 kg, c = 30 kg/s, Y = 0.02 m, and о, — 3.5 rad/s %3| 1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the transmissibility ratio less than 0.85 2. Using the value of the stiffness obtained in part (1), determine the transmitted force to the base motion system using Matlab or Excel. 3. Display and discuss your results.arrow_forward
- Sign in PDF Lecture W09.pdf PDF MMB241 - Tutorial L9.pdf File C:/Users/KHULEKANI/Desktop/mmb241/MMB241%20-%20Tutorial%20L9.pdf II! Draw | I│Alla | Ask Copilot + of 4 D Topic: Kinetics of Particles: - Forces in dynamic system, Free body diagram, newton's laws of motion, and equations of motion. TQ1. The 10-kg block is subjected to the forces shown. In each case, determine its velocity when t=2s if v 0 when t=0 500 N F = (201) N 300 N (b) TQ2. The 10-kg block is subjected to the forces shown. In each case, determine its velocity at s-8 m if v = 3 m/s at s=0. Motion occurs to the right. 40 N F = (2.5 s) N 200 N 30 N (b) TQ3. Determine the initial acceleration of the 10-kg smooth collar. The spring has an unstretched length of 1 m. 1 σ Q ☆ Q 6 ا الى ☑arrow_forwardlail - Ahmed Amro Hussein Ali A x n Course: EN7919-Thermodynamic x Homework Problerns(First Law)_S x noodle/pluginfile.php/168549/mod_resource/content/1/Homework%20Problems%28First%20Law%29_SOLUTIONS.pdf UTIONS.pdf 4 / 4 100% Problem-4: When a system is taken from a state-a to a state-b, the figure along path a-c-b, 84 kJ of heat flow into the system, and the system does 32 kJ of work. (i) How much will the heat that flows into the system along the path a-d-b be, if the work done is 10.5 kJ? (Answer: 62.5 kJ) (ii) When the system is returned from b to a along the curved path, the work done on the system is 21 kJ. Does the system absorb or liberate heat, and how much? (Answer:-73 k]) (iii) If Ua = 0 andU, = 42kJ , find the heat absorbed in the processes ad and db. (Answer: 52.5 kJ, 10 kJ)arrow_forwardI need help with a MATLAB code. For question b.6 I have the MATLAB code shown below. How do I edit the code to answer question b.7. Please make sure the plots are reasonable. clc; clear all; % Constants mu = 398600; % Earth gravitational parameter, km^3/s^2 % Initial chief and deputy positions and velocities in ECI frame % Assume circular orbits in equatorial plane for simplicity a_c = 10000; % km a_d = 11500; % km r_c0 = [a_c; 0; 0]; v_c0 = [0; sqrt(mu/a_c); 0]; r_d0 = [a_d; 0; 0]; v_d0 = [0; sqrt(mu/a_d); 0]; % Initial relative state delta_r0 = r_d0 - r_c0; delta_v0 = v_d0 - v_c0; x0 = [delta_r0; delta_v0]; % 6x1 initial relative state % Time span tspan = [0 3600]; % 1 hour in seconds % Damping cases cases = struct( ... 'name', {'Critically damped', 'Under-damped', 'Over-damped'}, ... 'Kr', {eye(3)*2.5e-3, eye(3)*0.001, eye(3)*0.01}, ... 'P', {eye(3)*0.01, eye(3)*0.0006, eye(3)*0.02} ... ); % Simulate each case for i = 1:length(cases) Kr = cases(i).Kr; P =…arrow_forward
- A mechanical system is presented as below. There are four simulation graphs for different values for m, b and c tested for a step response. Identify the graph for m=4 kg, b=0.3 N.s/m and k=1 N/m (Hint: you may need to use matlab simulation to find it). m 1.8 1.6 1.4 b ·f(t) Step Responsearrow_forward1. For the following concentration expressions, indicate whether they are uniform or nonuniform and in how many dimensions (OD, 1D, 2D, or 3D), and steady or unsteady. Then for the following control volume and origin, and table of constants, use Excel or Matlab to graph profiles that show how concentration changes within the control volume and over time to a limit of 20 for the following: C(x,0,0,0), C(0,y,0,0), C(0,0,z,0) and C(0,0,0,t). On each graph, show which parameters are held constant, the CV boundaries, and the point where all four plots overlap. 20 C(x=0) 10 a 0.0001 b 0.001 | 20 0.01 k 0.1 100 All of the following functions are C(space, time) and so not necessarily just x as suggested. a. C,(x)= C,(x = 0)x exp{- ax}arrow_forwardis a mass hanging by a spring under the influence of gravity. The force due to gravity, Fg, is acting in the negative-y direction. The dynamic variable is y. On the left, the system is shown without spring deflection. On the right, at the beginning of an experiment, the mass is pushed upward (positive-y direction) by an amount y₁. The gravitational constant g, is 9.81 m/s². DO C.D Frontly у Your tasks: No Deflection m k Fg = mg Initial Condition y m k Write down an expression for the total energy If as the sum Write down an expression for the total energy H Fg = mg Figure 3: System schematic for Problem 4. Yi & X Write down, in terms of the variables given, the total potential energy stored in the system when it is held in the initial condition, relative to the system with no deflection. as the sum of potential and kinetic energy in terms of y, y, yi C After the system is released, it will start to move. Write down an expression for the kinetic energy of the system, T, in terms of…arrow_forward
- You are part of a car accident investigative team, looking into a case where a car drove off a bridge. You are using the lab projectile launcher to simulate the accident and to test your mathematical model (an equation that applies to the situation) before you apply the model to the accident data. We are assuming we can treat the car as a projectile.arrow_forwardPlease help me Matlabarrow_forwardMotiyo Add explanationarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY

Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY