figure (a) and (b) represent spring- block system. If m is displacement slightly , find the time period of oscillation of the system.

Explanation

both the cases are as follows:
Reduced mass of the system Reduced mass of the system
`mu = ((mM)/(m + m))` `mu = (mM)/(m + m) = (m)/(2)`
`T = 2 pi sqrt((mu)/(k))` and `k_(e) = k + k = 2 k`
`T = 2 pi sqrt ((mu)/(k_(e)))`