Question

In the adjacent figure there is a cube having a smooth groove at an inclination of $30^{\circ}$ with horizontal in its vertical face. A cylinder $A$ of mass $2\, kg$ can slide freely inside the grove. The cube is moving with constant horizontal acceleration $a_{0}$ parallel to the shown face, so that the slider does not have acceleration along horizontal.

• A. The normal reaction acting on cube is zero
• B. The value of $a_{0}$ is $g \sqrt{3}$
• C. The value of $a_{0}$ is $g$.
• D. Acceleration of the particle in ground frame is $g$

Answer 1

Answer: (A), (B), (D)

The particle experiences two forces in the ground frame
(i) $m g$ (vertically down)
(ii) $N$ (which is perpendicular to the groove)
If it falls vertically in ground frame
$N=0$ and $ a_{P G}=g$