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Question

Lower surface of a plank is rough and lying at rest on a rough horizontal surface. Upper surface of the plank is smooth and has a smooth hemisphere placed over it through a light string as shown in the figure. After the string is burnt, trajectory of centre of mass of the sphere is:
1030779_679d3e7fa9194a1aa8275b68e91abe3f.png

A
a circle
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B
an ellipse
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C
a stright line
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D
a parabola
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Solution

The correct option is C a stright line
Here, after burning the string, there is no external force acting on the hemisphere except gravity. So, the centre of mass will move straight downward.

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