Oscillations Part 2

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
( µ= coefficient of friction between the two blocks)
A. The time period of small oscillation of the two blocks is T=2π√‌

(m+M)

k

B. The acceleration of the blocks is a=−‌

kx

M+m

( x= displacement of the blocks from the mean position)
C . The magnitude of the frictional force on the upper block is ‌

mµ|x|

M+m

D. The maximum amplitude of the upper block, if it does not slip, is ‌

µ(M+m)g

k

E. Maximum frictional force can be µ(M+m)g Choose the correct answer from the options given below: