Home Physics Newton's Laws of Motion First Law of Motion A block of mass m is resting on a wedge of a…
Physics Newton's Laws of Motion First Law of Motion MCQ (Single Correct)

A block of mass m is resting on a wedge of angle θ as shown in the figure. With what minimum acceleration a should the wedge move so that the mass m falls freely?

A
g
B
g cos θ
C
g cot θ
D
g tan θ

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The correct answer is:
C

The components of acceleration a of the wedge and acceleration due to gravity is shown in the figure.

If the mass has to be fall freely, the component of acceleration of the wedge perpendicular to the incline should be equal to the component of acceleration due to gravity perpendicular to the incline.

Or,

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