Chapter 8, Computer-Aided Mechanism Analysis Video Solutions, Machines and mechanisms : Applied Kinematic Analysis

Problem 1

Develop a spreadsheet that can analyze the position of all links in an offset slider-crank mechanism for crank angles that range from 0 to 360 . Keep it flexible so that the length of any link can be quickly altered. Using the listed values, produce a plot of the slider distance versus crank angle.
$ offset $=0.5$ in.; crank $=1.25 \mathrm{in}$.; coupler $=7.0 \mathrm{in}$.

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Problem 2

Develop a spreadsheet that can analyze the position of all links in an offset slider-crank mechanism for crank angles that range from 0 to 360 . Keep it flexible so that the length of any link can be quickly altered. Using the listed values, produce a plot of the slider distance versus crank angle.
$$ offset $=10 \mathrm{~mm} ;$ crank $=25 \mathrm{~mm}$; coupler $=140 \mathrm{~mm}$$.

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Problem 3

Develop a spreadsheet that can analyze the position of all links in a four-bar mechanism for crank angles that range from 0 to 360 . Keep it flexible so that the length of any link can be quickly altered. Using the listed values, produce a plot of the follower angle versus crank angle.
frame $=750 \mathrm{~mm}$; crank $=50 \mathrm{~mm}$; coupler $=750 \mathrm{~mm}$; follower $=75 \mathrm{~mm}$.

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Problem 4

Develop a spreadsheet that can analyze the position of all links in a four-bar mechanism for crank angles that range from 0 to 360 . Keep it flexible so that the length of any link can be quickly altered. Using the listed values, produce a plot of the follower angle versus crank angle.
frame $=14$ in.; crank $=1$ in.; coupler $=16$ in.; follower $=4.0 \mathrm{in}$.

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Problem 5

Develop a spreadsheet that can determine the slider position, velocity, and acceleration for crank angles that range from 0 to 360 . Keep it flexible so that the length of any link can be quickly altered. Using the listed values, produce a plot of the slider velocity versus crank angle.
offset $=1.25$ in.; crank $=3.25$ in.; coupler $=17.5$ in.; crank speed $=20 \mathrm{rad} / \mathrm{s}$; crank acceleration $=0 \mathrm{rad} / \mathrm{s}^2$

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Problem 6

Develop a spreadsheet that can determine the slider position, velocity, and acceleration for crank angles that range from 0 to 360 . Keep it flexible so that the length of any link can be quickly altered. Using the listed values, produce a plot of the slider velocity versus crank angle.
offset $=30 \mathrm{~mm}$; crank $=75 \mathrm{~mm}$; coupler $=420 \mathrm{~mm}$; crank speed $=35 \mathrm{rad} / \mathrm{s}$, crank acceleration $=100 \mathrm{rad} / \mathrm{s}^2$.

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Problem 7

Develop a spreadsheet that can determine the follower position and velocity for crank angles that range from 0 to 360 . Keep it flexible so that the length of any link can be quickly altered. Using the following values, produce a plot of the follower velocity versus crank angle.
frame $=9$ in.; crank $=1 \mathrm{in} . ;$ coupler $=10 \mathrm{in} . ;$ follower $=3.5 \mathrm{in}$.; crank speed $=200 \mathrm{rad} / \mathrm{s}$; crank acceleration $=0 \mathrm{rad} / \mathrm{s}^2$.

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Problem 8

Develop a spreadsheet that can determine the follower position and velocity for crank angles that range from 0 to 360 . Keep it flexible so that the length of any link can be quickly altered. Using the following values, produce a plot of the follower velocity versus crank angle.
frame $=360 \mathrm{~mm}$; crank $=40 \mathrm{~mm}$; coupler $=400 \mathrm{~mm}$; follower $=140 \mathrm{~mm}$; crank speed $=6 \mathrm{rad} / \mathrm{s}$; crank acceleration $=20 \mathrm{rad} / \mathrm{s}^2$.

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Problem 9

Develop a computer program that can determine the position, velocity, and acceleration of all links in a slider-crank mechanism for crank angles that range from 0 to 360 . Keep it flexible so that the length of any link can be quickly altered. Using the listed values, determine the crank angle that produces the maximum slider acceleration.
offset $=3$ in.; crank $=7.5$ in.; coupler $=52.5$ in.; crank speed $=4 \mathrm{rad} / \mathrm{s} ;$ crank acceleration $=0 \mathrm{rad} / \mathrm{s}^2$.

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Problem 10

Develop a computer program that can determine the position, velocity, and acceleration of all links in a slider-crank mechanism for crank angles that range from 0 to 360 . Keep it flexible so that the length of any link can be quickly altered. Using the listed values, determine the crank angle that produces the maximum slider acceleration.
offset $=40 \mathrm{~mm}$; crank $=94 \mathrm{~mm}$; coupler $=525 \mathrm{~mm}$; crank speed $=10 \mathrm{rad} / \mathrm{s}$; crank acceleration $=10 \mathrm{rad} / \mathrm{s}^2$.

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Problem 11

$$
\begin{aligned}
& \text { frame }=18 \mathrm{in} \text {.; crank }=2 \mathrm{in} \text {.; coupler }=20 \mathrm{in} . ; \\
& \text { follower }=7 \mathrm{in} \text {.; crank speed }=150 \mathrm{rad} / \mathrm{s} ; \text { crank } \\
& \text { acceleration }=0 \mathrm{rad} / \mathrm{s}^2
\end{aligned}
$$

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Problem 12

Develop a computer program that can determine the position and velocity of all links in a four-bar mechanism for crank angles that range from 0 to 360 . Using the listed values, determine the crank angle that produces the maximum slider acceleration.
frame $=60 \mathrm{~mm} ;$ crank $=18 \mathrm{~mm} ;$ coupler $=70 \mathrm{~mm}$; follower $=32 \mathrm{~mm} ;$ crank speed $=360 \mathrm{rad} / \mathrm{s}$; crank acceleration $=20 \mathrm{rad} / \mathrm{s}^2$.

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