All the surfaces are smooth as shown in figure. The acceleration of mass m relative to wedge is :

Options

A. g sin `theta`
B. g sin `theta` + a cos `theta`
C. g sin `theta` - a cos `theta`
D. a cos `theta`

Answer

B

Explanation

From free body diagram `N + m a sin theta = m g cos theta`

Acceleration of mass m relative to wedge `= ( mg sin theta + ma cos theta)/(m) = g sin theta + a cos theta`