The arrangement shown below shows a block of mass M and m, with a spring of force constant k attached to the spring fixed to the wall . What will be the maximum value of frictional force between them if `mu` is the coefficient of friction and the blocks move together in S.H.M with amplitude A ?

Options

A. `f= ((m+M)/(m))kA`
B. `f=((m)/(M))kA`
C. `f=((M)/(m+M))kA`
D. `f=((m)/(M-m))KA`

Answer

C

Explanation

The block move together as long as the frictional force on the upper block is
`f = Momega^(2)A`
where ` omega = sqrt((k)/(m + M))`
`therefore f = M xx (k)/(m + M) xx A = ((M)/(m + M))ka`