Question
A block of mass m is placed on a smooth inclined wedge ABC of inclination θ as shown in the figure. The wedge is given an acceleration 'a' towards the right. The relation between a and θ for the block to remain stationary on the wedge is
a = g tan θ
a = g cos θ
Solution
C.
a = g tan θ
In non-inertial frame,
N sin θ = ma ...(i)
N cos θ = mg... (ii)
tan θ = a/g
a = g tan θ