HW5_-_Cams
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University of Illinois, Urbana Champaign *
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Course
370
Subject
Mechanical Engineering
Date
Dec 6, 2023
Type
Pages
6
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ME 370
Fall 2023
Homework 5: Cams
NAME: ______Steve Chen____________
UIN: ____677807892___________
Total Points: 34 points
Problem 1:
(10 pts) Principles of Cam Design
1.1
(1 pts) Describe the Fundamental Law of Cam Design.
The cam position, velocity and acceleration must be continuous across the entire interval, meaning that
the change in motion needs to be continuous and .
1.2
(1 pts) Why is a discontinuity in velocity undesirable? What about a discontinuity in acceleration?
Discontinuity in velocity will cause sudden changes in the forces and stresses applied to the parts, which
may cause failure, same with the acceleration,as force is acceleration*mass. Other than the danger of
failure or weakening, there is also the issue of
The sudden change in acceleration will cause a jerk, and the jerk needs to be finite along the path.
1.3
(2 pts) What are some advantages/disadvantages of a cam-follower compared to a linkage?
Cam-follower systems usually have less moving parts, and also more compact and have higher precision
than a linkage. On the other hand the cam-follower has lower flexibility in terms of motion, and also have
the issue of wear and needing lubrication.
1.4
(6 pts) Name the below shown cam-followers in terms of
i) Type of cam: radial vs. axial,
ii) Type of follower motion: rotating vs. translating,
iii) Type of joint closure: force-closed vs. form-closed
Type of cam
Type of
follower
motion
Type of joint
closure
Axial
Rotating
follower(if no
roller at the
end of the
follower)
form closed
Radial
Rotating
follower
form closed
Problem 2:
(10 Pts) Snail Cam motion design
The following is a Snail Cam-Follower, which is commonly used when you
wish to rapidly retract a follower, and do not care about shock.
Animation:
https://technologystudent.com/cams/snail1.htm
The cam has the following motion profile:
•
Dwell -
At 0 inch for 0-90 degrees
•
Rise-
Linearly
from zero displacement to 1 inch for 90-360 degrees
•
Snap back
-
at 360 degrees
2.1
(2 pts) What kind of Cam-Follower is this (Cam type, Follower type, Joint Closure)?
Radial, Translating follower that is force-closed by a spring.
2.2
(4 pts) Write down the piecewise equation of motion for the Cam s(
θ
)
0
, 0<theta<90
(theta-90)/270 , 90<theta<360
2.3
(4 pts) Sketch the SVAJ plots for this motion profile
2
Problem 3: (14 pts) Designing cams
Upon graduation, you have been hired by Anheuser-Busch of St. Louis, Missouri. Your task is to design a
“fun” beer mug delivery system for their bar. This motion of the tray will be driven by a cam-follower
design. A tray attached to a follower will: (a) wait under the tap for 5 seconds, long enough to fill the
mug, (b) move away from the tap and travel along (rise) the counter by 15” in 10 seconds, moving slowly,
to not spill the precious liquid (c) dwells for only 1 second at the end of the counter, where thirsty patrons
have to quickly grab their mug. (d) returns (fall) “quickly” to the tap in 4 seconds, since it no longer has a
drink to balance. Repeat. The motor driving the cam has a constant velocity of
= 3 rpm (or 360° / 20
ω
sec). Do not be concerned about the mechanisms used to place or fill the mug, this is the responsibility of
a bar tender.
3.1
(2 points) What type of follower is appropriate here, (a) Rotating, (b) Translating? Briefly explain
your rationale.
Translating follower is more appropriate here, as the movement needed is linear. It also needs to be form
closed to have the pulling forces.
3.2
(2 points) Sketch an example of what the cam-follower mechanism might look like. Label the
mechanism with the expressions
dwell
,
rise
,
fall
to indicate which parts of the mechanism correspond
with what motion. Quantitative values and exact angles are not needed here.
3
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Related Questions
Complete the following sentence. As the radius of curvature of a Cam gets smaller, the second derivative of follower displacement with respect
to cam rotation:
Select one:
O a. none of these options
O b. decreases
O C. stays the same
O d. increases
3
s page
Next page
46
Finish
Time le
ps://learnonline.gmit.ie/mod/quiz/attempt.phplattempt-1670368cmid-1553068page-1.
Type here to search
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I need detail answer do not copy
A cam is required for an automated transfer mechanism. The cam follower must rise upward 10 mm with constant velocity in 3.0 sec, dwell for 2 sec, fall with constant velocity in 4 sec, dwell for 1 sec, and then repeat the sequence .
a) Determine the required speed of the cam.
b) Draw the displacement diagram along with velocity curve.
c) The base circle diameter of the cam is 50 mm. Plot the cam profile when a knife-edge follower is incorporated.
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3. Equally spaced parts, with the distance between the parts being 10 inches, are coming on a
conveyor belt. A machine tool has to operate on the part for 0.5 second as the part is moving on
the conveyor. The speed of the conveyor belt is 10 in/second. The tool will be attached to the
follower of a cam mechanism that you will design. In other words, the motion of the tool is
controlled by your cam.
Design the svaj curves for the follower using polynomials. (Hint: When the tool is operating its
velocity should be same as the part velocity.) Please explain all steps of your solution procedure
clearly. You are not allowed to use any software to do this. [20 points]
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Machine elements
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1 plz
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Please solve the question on the sheet and get a clear picture and submit the picture.
thankyou
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Please recreate the steps clearly so i can retrace the steps and get a better grasp on the subject.
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question 14
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You are given a task to design a cam. The cam are used for feed mechanism in automatic
lathe machine. The motion of the cam follower that you need to design are given as
follows:
(b)
1. Move up 50 mm in 1 second using the harmonic motion
2. Dwell for 0.5 s
3. Move down 50 mm in 1 second using the harmonic motion
4. Dwell for 1 second
The motions of the cam follower then will repeat the same sequences.
(i)
Calculate total time taken for the cam to complete a full circle motion.
(ii)
Calculate the rotational speed of the cam.
(iii) Determine the cam rotation angle for each of the follower motion interval.
(iv)
Construct the follower displacement diagram for this cam
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I. 10
Q2/ Answer by using true or false
1-The offset defined as distance between
center of Basic Circle and line tangent of
inner Circle of the cam. *
False
True
2- To balancing of rotation mass system of
the same plane we need to addition two
masses.
False
True
3-There are two type of the displacement
diagram of cam are simple harmonic
motion and uniform motion. *
False
True
4-There are two methods to solve the
balancing of rotation mass are analytical
and evnerimantal
II
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Acceleration analysis of Scotch Yoke Mechanism
Please can you show the working of 'Now fixing the angular velocity at 1.5 rad/s and crank length of 40 mm. by Changing the crank angle'. from the follow up question.(how did you get the value)
and can you show me the working and answers of "First fix the crank length 40 mm with crank angle 240°. By changing the angular velocity " (follow up question).
and also show me the working of "changing the crank length :"(follow up question)
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1. Use the following parameters for displacement
diagram of a cam using the motions, Constant
Velocity, Simple Harmonic Motion, and Constant
Acceleration.
Accent 60⁰
Descent 60⁰
Lift 6 cm
2. Design a cam turning counterclockwise, to give a
reciprocating follower move vertically the following
motion: rise of 8 cm. with a SHM motion during 150⁰
rotation of the cam; rest for 45° decelerate UARD
motion during 120° rotation of the cam
2.1Use knife edge
2.2 Roller type follower, diameter of roller follower 2cm
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P A cam drive is used for a mechanism that moves a tool
in an automated screw machining process. The cam
follower must rise outward 24 mm with harmonic
motion in 0.2 s, dwell for 0.3 s, fall 10 mm with
harmonic motion in 0.3 s, dwell for 0.2 s, fall 14 mm
with harmonic motion in 0.2 s, and then repeat the se-
quence. Determine the required speed of the cam and
graphically plot a follower displacement diagram.
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The
he
of 1
X Incorrect; Try Again; 3 attempts remaining
Part B - Determining the magnitudes of the velocity and acceleration of the second driver
Determine the magnitudes of the velocity and acceleration of the second driver.
Express your two answers, separated by a comma, to two significant figures in meters per second and meters per second squared.
►View Available Hint(s)
E| ΑΣΦΗ1 | vec
?
V2, A2=
m/s, m/s²
Submit
Part C - Finding the equation for the overall magnitude of velocity and acceleration
Identify the equations for the overall magnitude of the velocity and acceleration of the driver in terms of the radius of curvature, r, the transverse rate of rota
the transverse rate of acceleration, 0
► View Available Hint(s)
ENG
F4D
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Do and Answer the ff.
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question 6 or 7
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PLEASE ANSWER NUMBER 18.MECH 221-KINEMATICS: PLEASE GIVE DETAILED ANSWER AND CORRECT ANSWERS. I WILL REPORT TO BARTLEBY THOSE TUTORS WHO WILL GIVE INCORRECT ANSWERS.
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PLEASE ANSWER NUMBER 4.MECH 221-KINEMATICS: PLEASE GIVE DETAILED ANSWER AND CORRECT ANSWERS. I WILL REPORT TO BARTLEBY THOSE TUTORS WHO WILL GIVE INCORRECT ANSWERS.
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Part I
Set the controls as follows.
• Xo = -10 cm
• k = 40 N/m
• m = 8 kg
Now hit start and observe the motion of the block and the plots on the graphs for position, velocity, and acceleration.
Which of the following statements accurately describes your observation? (Select all that apply.)
The maximum displacement was 10 cm.
The maximum displacement was 0 cm.
The speed of the block remained constant.
The acceleration of the block remained constant.
The frequency of the block remained constant.
The period of the block remained constant.
Part II
Set the controls as follows.
.
• Xo = -10 cm
• k = 40 N/m
• m = 2 kg
.
Now hit start and observe the motion of the block and the plots on the graph for position, velocity, and acceleration.
Which of the following statements accurately describes your observation? (Select all that apply.)
The minimum displacement is the same as in Part I.
The minimum displacement is half what it was in Part I.
The minimum displacement is twice what it was in Part…
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The image below depicts one section of a cam shaft which opens a valve to release the pressure in the combustion chamber. In order to synchronize the position of the piston and the release of the valve, there is a sensor that measures the position of the camshaft. The sensor can determine when point a is 0.672 in. to the right of the center of the camshaft and 0.672 in. above the center of the camshaft. In a four stroke engine the crank shaft, which is connected to the pistons, turns twice for every turn of the camshaft. At cruising speed the crank shaft turns at 3,000 rotations per minute (rpm) which means that the camshaft turns at 1,500 rpm or 25 revolutions per second (rps). After 0.825 seconds, where would point a be in relation to the center of the camshaft?* Answer options are: (-0.589,0),(0.116, -0.316), (0,-0.95),(0.86,-0.315),(0.431,0), none of these are correct. Please be sure to show your steps.
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PLEASE ANSWER NUMBER 13.MECH 221-KINEMATICS: PLEASE GIVE DETAILED ANSWER AND CORRECT ANSWERS. I WILL REPORT TO BARTLEBY THOSE TUTORS WHO WILL GIVE INCORRECT ANSWERS.
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can you solve part C?
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PLEASE ANSWER NUMBER 5.MECH 221-KINEMATICS: PLEASE GIVE DETAILED ANSWER AND CORRECT ANSWERS. I WILL REPORT TO BARTLEBY THOSE TUTORS WHO WILL GIVE INCORRECT ANSWERS.
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A Cam-Follower system is sketched below (not to scale ); H=0.8 cm; D=3.0 cm; d=1.0 cm,
R=1.0 cm, and w₂= 3 rad/s, what is the angular velocity of the roller (rad/s) ? (use Vector
Graphical method)?
O a. 3.00
O b. 7.92
O c. 4.50
O d. 6.18
e. 15.83
2
d
(dia)
Time left 0:47:02
R
B
D
H-
13
3
1114
D
(dia,
Next page
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Hello, I hope you can help me. I'm trying to create a device that has a spinning axle and I need to change the rotational force to be perpendicular to the axle. I know there are gears that can fit together have teeth, like the attached picture. I know there are other types of mechanisms, and some are more creative. But I also need for the solution to be low friction.
What are 2 low friction methods of changing the directional rotation of a power axle 90 degrees?
The entire creation is small, probably 12" x 12"
Thanks for your help.
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Learning Goal:
To understand how to use the relative position and velocity equations
to find the linear and angular velocity of members in an assembly.
A piston is driven by a crankshaft as shown. The crank arm
(member AB) has a length of r₁=0.55 in and the connecting rod
(member BC) has a length of r2 = 4.25 in. The crankshaft rotates
in the counterclockwise or positive direction. (Figure 1)
Figure
C
1₂
@₂
@1
0
B
X
1 of 2
Part C - Velocity of C
Find the magnitude of the velocity of C, vc, when the piston has moved to the new position = 33.0° and p = 6.23°. The crankshaft (member AB) is still rotating
at 300 rpm
Express your answer to three significant figures and include the appropriate units.
► View Available Hint(s)
vc= 15.5 in
S
Submit
Completed
Part D - Rotational Speed of the Crankshaft
W1 =
Previous Answers
The velocity of the piston is vc = 70.0 in/s j the instant when 0 = 33.0° and = 6.23°. Find the rotational speed of the crankshaft (member AB) at this instant.
The crankshaft…
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480 ft-lbf
First Gear (2.66)
Final Drive (3.42)
Axle Torque
Thrust Force
Figure 2 - Corvette Z06 and its transmission schematic.
You start by measuring the 60-0 mph braking performance, which is accomplished along 30.56
m. The test weight (including the driver) was found to be 1510.5 kgf.
1) "Fuel is spent to make the vehicle go uphill, as you are aware. However, the fuel will not
be restored if the vehicle is brought back from the hilltop to the initial elevation
level."ANALYSE this statement under the laws of Thermodynamics.
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- Complete the following sentence. As the radius of curvature of a Cam gets smaller, the second derivative of follower displacement with respect to cam rotation: Select one: O a. none of these options O b. decreases O C. stays the same O d. increases 3 s page Next page 46 Finish Time le ps://learnonline.gmit.ie/mod/quiz/attempt.phplattempt-1670368cmid-1553068page-1. Type here to searcharrow_forwardI need detail answer do not copy A cam is required for an automated transfer mechanism. The cam follower must rise upward 10 mm with constant velocity in 3.0 sec, dwell for 2 sec, fall with constant velocity in 4 sec, dwell for 1 sec, and then repeat the sequence . a) Determine the required speed of the cam. b) Draw the displacement diagram along with velocity curve. c) The base circle diameter of the cam is 50 mm. Plot the cam profile when a knife-edge follower is incorporated.arrow_forward3. Equally spaced parts, with the distance between the parts being 10 inches, are coming on a conveyor belt. A machine tool has to operate on the part for 0.5 second as the part is moving on the conveyor. The speed of the conveyor belt is 10 in/second. The tool will be attached to the follower of a cam mechanism that you will design. In other words, the motion of the tool is controlled by your cam. Design the svaj curves for the follower using polynomials. (Hint: When the tool is operating its velocity should be same as the part velocity.) Please explain all steps of your solution procedure clearly. You are not allowed to use any software to do this. [20 points]arrow_forward
- Please recreate the steps clearly so i can retrace the steps and get a better grasp on the subject.arrow_forwardquestion 14arrow_forwardYou are given a task to design a cam. The cam are used for feed mechanism in automatic lathe machine. The motion of the cam follower that you need to design are given as follows: (b) 1. Move up 50 mm in 1 second using the harmonic motion 2. Dwell for 0.5 s 3. Move down 50 mm in 1 second using the harmonic motion 4. Dwell for 1 second The motions of the cam follower then will repeat the same sequences. (i) Calculate total time taken for the cam to complete a full circle motion. (ii) Calculate the rotational speed of the cam. (iii) Determine the cam rotation angle for each of the follower motion interval. (iv) Construct the follower displacement diagram for this camarrow_forward
- I. 10 Q2/ Answer by using true or false 1-The offset defined as distance between center of Basic Circle and line tangent of inner Circle of the cam. * False True 2- To balancing of rotation mass system of the same plane we need to addition two masses. False True 3-There are two type of the displacement diagram of cam are simple harmonic motion and uniform motion. * False True 4-There are two methods to solve the balancing of rotation mass are analytical and evnerimantal IIarrow_forwardAcceleration analysis of Scotch Yoke Mechanism Please can you show the working of 'Now fixing the angular velocity at 1.5 rad/s and crank length of 40 mm. by Changing the crank angle'. from the follow up question.(how did you get the value) and can you show me the working and answers of "First fix the crank length 40 mm with crank angle 240°. By changing the angular velocity " (follow up question). and also show me the working of "changing the crank length :"(follow up question)arrow_forward1. Use the following parameters for displacement diagram of a cam using the motions, Constant Velocity, Simple Harmonic Motion, and Constant Acceleration. Accent 60⁰ Descent 60⁰ Lift 6 cm 2. Design a cam turning counterclockwise, to give a reciprocating follower move vertically the following motion: rise of 8 cm. with a SHM motion during 150⁰ rotation of the cam; rest for 45° decelerate UARD motion during 120° rotation of the cam 2.1Use knife edge 2.2 Roller type follower, diameter of roller follower 2cmarrow_forward
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