Tardigrade
Question
Physics
In the adjacent figure there is a cube having a smooth groove at an inclination of 30° 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 a0 parallel to the shown face, so that the slider does not have acceleration along horizontal.

Q. 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.

Laws of Motion Report Error

The normal reaction acting on cube is zero

The value of $a_{0}$ is $g \sqrt{3}$

The value of $a_{0}$ is $g$.

Acceleration of the particle in ground frame is $g$

Solution:

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$

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