Question

In the figure, the velocities are in ground frame and the cylinder is performing pure rolling on the plank, velocity of point ${}^{\prime }{A}^{\prime }$ would be :

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

Answer 1

The correct option is C $2V_C-V_P$

Velocity of point B must be equal to velocity of plank due to pure rolling.

$V_C-rw=V_P⟹rw=V_C-V_P$

Now $V_A=V_C+rw=2V_C-V_P$