AME $452-015,$ Spring $2023,$ HW$-5$

$5\mathrm{.}1$ For the offset slider$-$crank shown in Figure $5\mathrm{.}10$ of your textbook. Assume $L_1=0\mathrm{.}10,$

$L_2=0\mathrm{.}20,$ and $a=0\mathrm{.}08.$

$($a$)$ Construct the position, velocity, and acceleration constraints.

$($b$)$ Revise the MATLAB program from Example $5\mathrm{.}1$ of your textbook for this offset

slider$-$crank mechanism. Assume a constant angular velocity of ${}_1^{}=2ra\frac{d}{s}.$

$($c$)$ Execute the program for a complete revolution of the crank in $5$ increments and

save the computed results.

$($d$)$ Plot the velocity of the slider versus the crank angle and observe that an offset

slider$-$crank is a quick$-$return mechanism.

$($e$)$ Plot the acceleration of the slider versus the crank angle.

$($f$)$ Repeat $($c$),($d$),$ and $($e$)$ for: $a=0\mathrm{.}04$ and $a=0($non$-$offset$).$ Compare the plots of

the three simulations. What do you conclude?