Center of MassHardBloom L3
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 :-
Options
A.a circle
B.an ellipse
C.a straight line
D.a parabola
Solution
Sol. On sphere there is no external force in horizontal direction
(acm = 0) ⇒ (vcm = constant = 0)
& (fext)vertical ≠ 0 ⇒ COM will fall vertically downward
∴ Path of COM ⇒ Straight line & vertical downwards
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