Physics Lab 9
.docx
keyboard_arrow_up
School
University of Rhode Island *
*We aren’t endorsed by this school
Course
361
Subject
Physics
Date
Dec 6, 2023
Type
docx
Pages
6
Uploaded by MinisterStraw5435
Physics Lab 8
Names:
Shri Patil, Sean Kim, Ethan Pereira
Introduction:
In this lab, we will be determining the moment of inertia for the IOLab device and
two tape rolls as it rolls down the ramp. The determined value from this lab will be compared to
the one found in Lab 8 to see how close the two are. The comparison of the two values will be
done with the use of a t-score. In order to compare the two moments of inertia accurately, the
IOLab and tape rolls will both be modeled as a simple cylinder, as shown in the diagram below.
However, this model will most likely overestimate the moment of inertia for the system, as in
reality it doesn’t form a perfect cylinder. To determine the moment of inertia for this lab,
conservation of energy will be used. The IOLab will be rolled down a ramp, starting with a set
amount of potential energy. By the time it rolls down to the bottom of the ramp, it will only have
kinetic energy. Because the IOLab is rolling as it moves down the ramp, it will have both
translational and rotational kinetic energy. This means its kinetic energy can be written as ½ * m
* v
2
+ ½ * I * ω
2
. In this setup, we are assuming that there is friction present when the IOLb rolls
down the ramp, so it will be rolling without slipping. The potential energy can be written as m *
g * h. Setting these two energies equal to each other will allow us to solve for I and give us an
approximate value. We plan to avoid any sources of error by letting the device roll down the
ramp on its own and only using recorded values from when the device rolls down the ramp and
not when it bumps into the end of the table. Additionally, we will extend the height of the ramp
to a reasonable level so that the device won’t immediately roll off the table.
Figure 1
Methods:
1.
Attach two masking tape rolls to the ends of
the IOLab, so that the IO Lab can roll (see
figure 1)
2.
Setup cardboard ramp to be propped up on one end by an IOLab box 11.5 cm from the
end of the cardboard ramp (see figures 2 and 3)
Figure 2
3.
Place IOLab with its tape rolls attached at the
top so that the front wheel is 17 cm away from
the higher edge of the cardboard ramp (see
figure 1)
4.
Measure H, the height from the ground to the
bottom of the wheel of the IOLab when it is
sitting on top of the cardboard ramp
5.
Release the IOLab from rest, and let it roll
down the ramp
6.
In IOLab desktop app, record ω and t for the IOLab to roll down to the bottom of the
ramp
Figure 3
7.
Use v = r*ω to find transational v
8.
Using magnitude of |ΔKE| = |ΔU|, calculate
value of I using equation
|ΔU| = ½ m*v
2
+
½ I*ω
2
where
|ΔU| is given by mgH
9.
Using t’= |μ
A
- μ
B
| / sqrt
(
(
A
2
-
B
2
), calculate t’
using I value calculated from this
experiment as A, and I value calculated in
Lab 8 as B, as well as the respective
uncertainty values
10. If t’ is below 3, then both methods are within reasonable range of each other.
Calibration
a = 6.265
x = (815
measure) / 2pi
∗ ?
x = (815 * 6.265) / 2 pi
x = 812.64
After Calibration
Results
Trial 2
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
Related Questions
Looking for guidance to question based on characteristics/assumptions of experiment:
Experiment background:
For our dynamic measurement of the moment of inertia, we will use a vertically-mounted turntable that has a hub attached at its center, which has three grooves of different radius, around which one can wind a string. A mass hanging from the free end of the string provides tension, which exerts a torque on the turntable, thus causing it to rotate. By measuring the time it takes the mass to fall from its initial height to the table top (or some reference line just above it), we can find aa, its (linear) acceleration. From this we can calculate αα, the angular acceleration of the turntable. From the weight of the mass, and its linear acceleration, we can find T, the tension in the string. Once we know all these things, we can calculate the torque, ττ, and from τ=Iατ=Iα find I, the moment of inertia of our turntable platter.
Assumptions made in this experiment:
- Turntable disk…
arrow_forward
Q2:
For the block shown in the figure below, the 40 lb.
20
force is passing through points EF, the 50 Ib. force
is passing through points JB, and the force 20 lb. is
passing through point C.
1. Find the resultant force and its directions.
2. Determine the resultant moment of three
forces in Figure about the x-axis, the y-axis,
and the z-axis.
dimensions in inch
arrow_forward
33.6%
Resources
Lx Give Up?
O Hint
Consider the objects labeled A, B, C, and D shown in the figure.
米上
C
D
Each object is composed of identical thin sticks of uniformly distributed mass 9.15 kg and length 0.489 m. What are the
moments of inertia IA, IB, Ic, and Ip of the objects about a rotation axis perpendicular to the screen and passing through
the black dot displayed on each object?
IA =
kg-m²
IB =
kg-m2
Ic =
kg-m?
Ip =
kg-m?
about us
privacy policy
terms of use
careers
contact us
help
arrow_forward
Suppose you start an antique car by exerting a force of 350 N on its crank for 0.16 s.Randomized Variablesf = 350 Nt = 0.16 sd = 0.22 m
What angular momentum is given to the engine if the handle of the crank is 0.22 m from the pivot and the force is exerted to create maximum torque the entire time?
arrow_forward
1. Perform analysis steps B.1. Derive an algebraic equation for the moment of inertia of the disk/plate by
using the conservation of energy method.
The variables in your equations should be the values you can measure (e.g., mass of hanger, angular
velocities, angular acceleration, positions and/or velocities of the falling mass, etc.) and physical constants
(i.e., the acceleration due to gravity). You should do this on a separate sheet and keep a copy as you will
need it during the lab.
arrow_forward
I would like some guidance on how to approach this answer.
What effect does the diameter of the string have on the lever arm? Explain why we can ignore this effect.
Experiment background:
xperiment background:
For our dynamic measurement of the moment of inertia, we will use a vertically-mounted turntable that has a hub attached at its center, which has three grooves of different radius, around which one can wind a string. A mass hanging from the free end of the string provides tension, which exerts a torque on the turntable, thus causing it to rotate. By measuring the time it takes the mass to fall from its initial height to the table top (or some reference line just above it), we can find aa, its (linear) acceleration. From this we can calculate αα, the angular acceleration of the turntable. From the weight of the mass, and its linear acceleration, we can find T, the tension in the string. Once we know all these things, we can calculate the torque, ττ, and from τ=Iατ=Iα find I, the…
arrow_forward
In the figure shown assuming clockwise moments are positive, compute the moment
of force F= 243 kN and of force P= 109 kN combined about point A. Write
numerical value only and 2 decimal places.
A
1m
D 1m
F
P
B
arrow_forward
Simulation #2: Questions
1. Describe the effect of increasing the mass m of the falling mass. How does the acceleration a change? Increase, decrease, or remains constant? How does the moment of inertial I of the pulley change? Increase, decrease, or remains constant? Explain.
2. Describe the effect of increasing the pulley mass M. How does the acceleration a change? Increase, decrease, or remains constant? How does the moment of inertial I of the pulley change? Explain.
3. Reset the system to the initial conditions. The pulley’s shape is initially similar to a thin hollow cylinder with outer radius Ro and inner radius Ri. Increase only the outer radius Ro. How does the acceleration a change? Increase, decrease, or remains constant? How does the moment of inertial I of the pulley change? How does the torque t on the pulley change? Explain.
4. Reset the system to the initial conditions. Keep the outer radius at Ro=100mm and decrease the inner radius to zero (Ri =0) to make the pulley a…
arrow_forward
Solve in 10 min
arrow_forward
A circular disk is free to rotate in a vertical plane about the pin at A. The disk has a mass of 13 kg and a radius of 1 meter. It is released from rest in the position shown.
a. Plot the free body diagram and the kinetic diagram b. Determine the mass moment of inertia about point A c. Determine the angular acceleration of the disk d. Determine the total supporting force at A
arrow_forward
Determine the angular momentum of a 78-g particle about the origin of coordinates when the particle is at x = 4.9 m, y = -6.3 m, and it has velocity v = (3.51-80k) m/s.
Find the x-component.
Express your answer using two significant figures.
Lx =
ΜΕ ΑΣΦ
Submit
Request Answer
▼ Part B
Find the y-component.
Express your answer using two significant figures.
Ly=
ΜΕ ΑΣΦ
Submit
Request Answer
Part C
Find the z-component.
Express your answer using two significant figures.
?
kg-m²/s
?
kg-m²/s
arrow_forward
Shown in the figure is a 258-kg homogeneous
cylinder that rolls without slipping on the
horizontal surface. Given P1= 980 N, P2= 1108 N, r=
0.9m, determine
a. the acceleration of the mass center,
b. angular acceleration, and
c. the plane reaction on the cylinder.
Note: Draw the diagram/s before formulating any
equation.
PL
P2
arrow_forward
D1
arrow_forward
Ball, mass m, radius r,
moment of inertia I.
H
path of
center of
ball
h
A ball, of mass m, radius r, and moment of inertia I, starts from rest, then rolls without
slipping, descending a distance H before the ground levels off and becomes perfectly flat. It
then freefalls off a sharp cliff, traveling a horizontal distance D while descending an extra
vertical distance h, as sketched in the diagram.
Calculate the distance D in terms of the other relevant quantities. Your derivation may
involve multiple steps, so please try to give me a clear chain of thought. I recommend you
start by finding the amount of time for the ball to freefall the distance h.
arrow_forward
I NEED HELP WITH BOTH QUESTION
arrow_forward
General Physics 1: Moment of Inertia
Learning Task: Solve the following problems. Follow the GUFSA method for your
answers. (Given, Unknown, Formula, Solution, Answer). Include the graphical
representation. See examples below.
Sample Problem:
1. A 100-gram ball connected to one end of a cord with a length of 30 cm. What is the
moment of inertia of ball about the axis of rotation AB? Ignore cord's mass.
A Known:
The axis of rotation at AB
Mass ball (m) = 100 gram = 100/1000 = 0.1 kg
m
The distance between ball and the axis rotation (1) = 30 cm =
0.3 m
gahical represeritalion B
Wanted: Moment of inertia of ball (1)
Solution:
I=mr? = (0.1 kg)(0.3 m)2
1= (0.1 kg)(0.09 m²)
I= 0.009 kg m²
1. The axis of rotation of a rod is located at the end. Find the moment of inertia
of a long uniform rod with a length of 3.5 m and a mass of 4 kg.
2. The axis of rotation is located at the center of the solid cylinder. What is the
moment of inertia of a 11.6-kg solid cylinder with a radius of 4 cm.?
3. A…
arrow_forward
You are collecting data to study changes in the angular momentum of a bicycle wheel when a force is applied to it. Which of the following measurements would be least helpful to you?
a. the time for which the force is applied
b. the radius at which the force is applied
c. the angular velocity of the wheel when the force is applied
d. the direction of the force
arrow_forward
The spool has a mass of 70 kg and a radius of gyration
of KG 0.3 m.
(Figure 1)
Show Transcribed Text
α =
=
250 mm
Show Transcribed Text
HA
Templates
Value
If the coefficients of static and kinetic friction at A are μs = 0.2 and μ = 0.15, respectively, determine the angular acceleration
of the spool if P = 60 N.
Express your answer to three significant figures and include the appropriate units.
A
Units
400 mm
?
P
arrow_forward
The force F in the figure a) Calculate the moment with respect to point A. b) Calculate the moment about the z-axis. c) Calculate the moment with respect to the line AB.
arrow_forward
A part of a 4 cm long nail protrudes from the wall as shown in the figure. If a a force F is applied. Select all the correct answers from what can be determine with this information.
a) The angle between the applied force and the nail.b) The deflection (deformation, bending) of the nail.c) The magnitude of the force that holds the nail in the wall.d) The resulting moment at point A.e) The distance of the nail penetration into the wall.f) If the nail is deformed (bent) or if it fractures.g) The weight of the nail.h) The component of force F in direction j.i) The resulting moment component at A in the –k direction.
arrow_forward
Modified True or False
I. The moment of a force about an axis or line is the measure of its ability to produce turning or twisting about the axis.
II. The magnitude of the moment of a force about an axis which is perpendicular to a plane containing the line of action of the force is defined as the product of the force and its perpendicular distance from the axis to the line of action of the force.
Choose the answer from the choices below.
a. Only I is correct
b. I and II are correct
c. I and II are false
d. Only II is correct
arrow_forward
I Review I Constants
You are a project manager for a manufacturing company. One
of the machine parts on the assembly line is a thin, uniform
rod that is 60.0 cm long and has mass 0.700 kg.
Part A
What is the moment of inertia of this rod for an axis at its center, perpendicular to the rod?
Express your answer with the appropriate units.
?
I =
Value
Units
Submit
Request Answer
Part B
One of your engineers has proposed to reduce the moment of inertia by bending the rod at its center into a V-shape, with a 60.0° angle at its vertex.
What would be the moment of inertia of this bent rod about an axis perpendicular to the plane of the V at its vertex?
Express your answer with the appropriate units.
?
I =
Value
Units
Submit
Request Answer
arrow_forward
2
* Incorrect
An experimental device imparts a force of magnitude F = 55 lb to the front edge of the rim at A to simulate the effect of a slam dunk.
Compute the moment of the force F about point O and about point B. The moments are positive if counterclockwise, negative if
clockwise. Finally, locate a point C from the base at O to the location on the ground where the force imparts zero moment. The distance
d from point O to point C is positive if C is to the right of O, and negative if to the left.
Assume a = 36 in., b = 28 in., h = 12 in., H = 10 ft, c = 3, and d = 6.
a
Answers:
Mo=
MB =
b
d =
H
i 16.6
i -103
i
3.83
lb-ft
lb-ft
ft
arrow_forward
Quiz 1: Locate the centroid of the shaded area below and calculate the
moment of inertia with respect to the axis a-a.
a
-x² = 9y
3 m
to
6 m
6 m
3 m,
arrow_forward
box the final answers
arrow_forward
Point masses: The moment of inertia (also known as rotational inertia) of a point mass a distance r from the axis of
rotation is I = mr2. For a set of point masses m, at a distance rị from the axis we just sum / = Em,r?.
1. A baby's toy is made up of six beads, each of mass M on a ring of radius R. Assume the ring has negligible mass.
Determine the total moment of inertia about the axis going through the center, perpendicular to the page. Treat the
beads as point masses. Repeat for the ring of radius R/2. Simplify your answers.
axis
axis
radius R/2
radius R
Which ring is easier to start (or stop) rotating? Explain.
arrow_forward
A wheel of radius a, mass m, and moment of inertia I is pulled along a horizontal surface
by application of a horizontal force F to a rope unwinding from an axle of radius b as
shown in the figure. There is a friction force between the wheel and the surface such that
the wheel rolls without slipping.
a. What is the linear acceleration of the wheel?
b. Calculate the frictional force that acts on the wheel (Use Newtonian formalism).
b
a
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Related Questions
- Looking for guidance to question based on characteristics/assumptions of experiment: Experiment background: For our dynamic measurement of the moment of inertia, we will use a vertically-mounted turntable that has a hub attached at its center, which has three grooves of different radius, around which one can wind a string. A mass hanging from the free end of the string provides tension, which exerts a torque on the turntable, thus causing it to rotate. By measuring the time it takes the mass to fall from its initial height to the table top (or some reference line just above it), we can find aa, its (linear) acceleration. From this we can calculate αα, the angular acceleration of the turntable. From the weight of the mass, and its linear acceleration, we can find T, the tension in the string. Once we know all these things, we can calculate the torque, ττ, and from τ=Iατ=Iα find I, the moment of inertia of our turntable platter. Assumptions made in this experiment: - Turntable disk…arrow_forwardQ2: For the block shown in the figure below, the 40 lb. 20 force is passing through points EF, the 50 Ib. force is passing through points JB, and the force 20 lb. is passing through point C. 1. Find the resultant force and its directions. 2. Determine the resultant moment of three forces in Figure about the x-axis, the y-axis, and the z-axis. dimensions in incharrow_forward33.6% Resources Lx Give Up? O Hint Consider the objects labeled A, B, C, and D shown in the figure. 米上 C D Each object is composed of identical thin sticks of uniformly distributed mass 9.15 kg and length 0.489 m. What are the moments of inertia IA, IB, Ic, and Ip of the objects about a rotation axis perpendicular to the screen and passing through the black dot displayed on each object? IA = kg-m² IB = kg-m2 Ic = kg-m? Ip = kg-m? about us privacy policy terms of use careers contact us helparrow_forward
- Suppose you start an antique car by exerting a force of 350 N on its crank for 0.16 s.Randomized Variablesf = 350 Nt = 0.16 sd = 0.22 m What angular momentum is given to the engine if the handle of the crank is 0.22 m from the pivot and the force is exerted to create maximum torque the entire time?arrow_forward1. Perform analysis steps B.1. Derive an algebraic equation for the moment of inertia of the disk/plate by using the conservation of energy method. The variables in your equations should be the values you can measure (e.g., mass of hanger, angular velocities, angular acceleration, positions and/or velocities of the falling mass, etc.) and physical constants (i.e., the acceleration due to gravity). You should do this on a separate sheet and keep a copy as you will need it during the lab.arrow_forwardI would like some guidance on how to approach this answer. What effect does the diameter of the string have on the lever arm? Explain why we can ignore this effect. Experiment background: xperiment background: For our dynamic measurement of the moment of inertia, we will use a vertically-mounted turntable that has a hub attached at its center, which has three grooves of different radius, around which one can wind a string. A mass hanging from the free end of the string provides tension, which exerts a torque on the turntable, thus causing it to rotate. By measuring the time it takes the mass to fall from its initial height to the table top (or some reference line just above it), we can find aa, its (linear) acceleration. From this we can calculate αα, the angular acceleration of the turntable. From the weight of the mass, and its linear acceleration, we can find T, the tension in the string. Once we know all these things, we can calculate the torque, ττ, and from τ=Iατ=Iα find I, the…arrow_forward
- In the figure shown assuming clockwise moments are positive, compute the moment of force F= 243 kN and of force P= 109 kN combined about point A. Write numerical value only and 2 decimal places. A 1m D 1m F P Barrow_forwardSimulation #2: Questions 1. Describe the effect of increasing the mass m of the falling mass. How does the acceleration a change? Increase, decrease, or remains constant? How does the moment of inertial I of the pulley change? Increase, decrease, or remains constant? Explain. 2. Describe the effect of increasing the pulley mass M. How does the acceleration a change? Increase, decrease, or remains constant? How does the moment of inertial I of the pulley change? Explain. 3. Reset the system to the initial conditions. The pulley’s shape is initially similar to a thin hollow cylinder with outer radius Ro and inner radius Ri. Increase only the outer radius Ro. How does the acceleration a change? Increase, decrease, or remains constant? How does the moment of inertial I of the pulley change? How does the torque t on the pulley change? Explain. 4. Reset the system to the initial conditions. Keep the outer radius at Ro=100mm and decrease the inner radius to zero (Ri =0) to make the pulley a…arrow_forwardSolve in 10 minarrow_forward
- A circular disk is free to rotate in a vertical plane about the pin at A. The disk has a mass of 13 kg and a radius of 1 meter. It is released from rest in the position shown. a. Plot the free body diagram and the kinetic diagram b. Determine the mass moment of inertia about point A c. Determine the angular acceleration of the disk d. Determine the total supporting force at Aarrow_forwardDetermine the angular momentum of a 78-g particle about the origin of coordinates when the particle is at x = 4.9 m, y = -6.3 m, and it has velocity v = (3.51-80k) m/s. Find the x-component. Express your answer using two significant figures. Lx = ΜΕ ΑΣΦ Submit Request Answer ▼ Part B Find the y-component. Express your answer using two significant figures. Ly= ΜΕ ΑΣΦ Submit Request Answer Part C Find the z-component. Express your answer using two significant figures. ? kg-m²/s ? kg-m²/sarrow_forwardShown in the figure is a 258-kg homogeneous cylinder that rolls without slipping on the horizontal surface. Given P1= 980 N, P2= 1108 N, r= 0.9m, determine a. the acceleration of the mass center, b. angular acceleration, and c. the plane reaction on the cylinder. Note: Draw the diagram/s before formulating any equation. PL P2arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University