Question

A solid cylinder is attached to a horizontal massless spring as shown in figure. If the cylinder rolls without slipping, the time period of oscillation of the cylinder is

• A. $2\pi\sqrt {\frac {x}{g}}$
• B. $2\pi\sqrt {\frac {2M}{3K}}$
• C. $2\pi\sqrt {\frac {3M}{8K}}$
• D. $2\pi\sqrt {\frac {3M}{2K}}$

Answer 1

Answer: (C)

$2\pi\sqrt {\frac {3M}{8K}}$

Answer 2

The correct option is (C): $2\pi\sqrt {\frac {3M}{8K}}$.