A plate of mass M is placed on a horizontal of frictionless surface (see figure), and a body of mass m is placed on this plate. The coefficient of dynamic friction between this body and the plate is `mu`. If a force `2mumg` is applied to the body of mass m along the horizontal, the acceleration of the plate will be

Options

A. `(mum)/(M)g`
B. `(mum)/((M+m))g`
C. `(2mum)/(M)g`
D. `(2mum)/((M+m))g`

Answer

A

Explanation

The frictional force acting on M is `mu mg`
`:.` Acceleration `=(mu mg)/(M)`