Question

The velocities are in ground frame and the cylinder is performing pure rolling on the plank, velocity of point $A$ would be:

• A. $2V_C$
• B. $2V_C-V_P$
• C. $2V_C+V_P$
• D. $2(V_C-V_P)$

Answer 1

Answer: (B)

$2V_C-V_P$

Due to rolling motion, velocity of point $A=2V_C$ but the ground frame is also moving with velocity $V_p$, therefore to achieve pure rolling, the point in contact of cylinder will move with a velocity $-V_p$ with ground frame which will be carried to point A too.

Therefore, $V_A=2V_C-V_P$