Question

In the figure shown, the plank is being pulled to the right with a constant speed $v$ . If the cylinder does not slip then

• A. The speed of the centre of mass of the cylinder is $2v$
• B. The speed of the centre of mass of the cylinder is $v$
• C. The angular velocity of the cylinder is $\frac{v}{R}$
• D. The angular velocity of the cylinder is zero

Answer 1

Answer: (C)

For no slip condition velocity of plank = velocity of bottom point of sphere.

$\omega =\frac{v}{R}$ and $v_c=0$