# All surfaces are smooth. The acceleration of mass m relative to the wedge is…..

Q: All surfaces are smooth. The acceleration of mass m relative to the wedge is

(a) g sin θ

(b) g sinθ  + a cos θ

(c) g sin θ  – a cos θ

(d) a cos θ

Ans: (b)

Sol: By applying pseudo force

Downward component of force is

F = m g sinθ  + m a cos θ

acceleration of mass m relative to the wedge is

a’ = F/m

a’= g sinθ  + a cos θ