Two blocks of masses \( m \) and \( M \), \( (M > m) \), are placed on a frictionless table as shown in figure. A massless spring with spring constant \( k \) is attached with the lower block. If the system is slightly displaced and released, then \( (\mu = \) coefficient of friction between the two blocks\()\).
(A) The time period of small oscillation of the two blocks is \( T = 2\pi \sqrt{\frac{(m + M)}{k}} \)
(B) The acceleration of the blocks is \( a = -\dfrac{kx}{M + m} \)
\( (x = \) displacement of the blocks from the mean position\()\)
(C) The magnitude of the frictional force on the upper block is \( \dfrac{m\mu |x|}{M + m} \)
(D) The maximum amplitude of the upper block, if it does not slip, is \( \dfrac{\mu(M + m)g}{k} \)
(E) Maximum frictional force can be \( \mu(M + m)g \)
Choose the correct answer from the options given below:
