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Laws Of Motion

Question
CBSEENPH11020853

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 = gcosec θ

  • a= gsin θ

  • 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