Laws of MotionHard
Question
An object kept on a smooth inclined plane of inclination θq with horizontal can be kept stationary relative to the incline by giving a horizontal acceleration to the inclined plane, equal to :
Options
A.g sin θ
B.g cos θ
C.g tan θ
D.none of these.
Solution

F.B.D. of block is w.r.t. wedge and
F.B.D. of wedge is w.r.t ground.
FP is pseudo force on block .
mg sin θ − ma cos θ = 0 [Equilibrium of block w.r.t. wedge along x direction]
⇒ a = g tan θ
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