Question

In the figure, $PQ$ is a uniform sphere of mass $M$ and radius $R$ hinged at poin $P$, with $PQ$ as horizontal diameter. $QT$ is a uniform horizontal rod of mass $M$ and length $2R$ rigidly attached to the sphere at $Q$, supported by a vertical spring of spring constant $k$. If the system is in equilibrium, then the potential energy stored in the spring is

• A. $+MgR$
• B. $\frac{MgR}{2}$
• C. $\frac{1}{2}k\left(R^2\right)$
• D. $\frac{M^2{g}^2}{2k}$

Answer 1

Answer: (A), (D)

The correct options are
A $+MgR$
D $\frac{M^2{g}^2}{2k}$