Q. In the adjacent figure there is a cube having a smooth groove at an inclination of with horizontal in its vertical face. A cylinder of mass can slide freely inside the grove. The cube is moving with constant horizontal acceleration parallel to the shown face, so that the slider does not have acceleration along horizontal.

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A

The normal reaction acting on cube is zero

B

The value of is

C

The value of is .

D

Acceleration of the particle in ground frame is

Solution:

The particle experiences two forces in the ground frame
(i) (vertically down)
(ii) (which is perpendicular to the groove)
If it falls vertically in ground frame
and

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