Q$1(35$ pts$)$: The horizontal piston shown in the figure moves with a speed of $V_c\frac{m}{s}$ to the right. Find the location of instantaneous center of zero velocity and show on a sketch. Determine the angular velocities of links $BC$ and $AB,$ at the instant shown.

The value of $V_c$ changes depending on the FIRST letter of your NAME.

$\backslash$table$[[,$ABC,$$DE$,$FG$,$HII,JKL$,$MNO$,$PQR$,$S$$T$,$U$$V$,$WXYZ$],[V_C[\frac{m}{s}],4,5,6,7,8,9,10,11,12,13]]$

The value of $L_1$ changes depending on the LAST digit of your student ID$.$

$\backslash$table$[[$Last Digit $>,0,1,2,3,4,5,6,7,8,9$