Center of MassMediumBloom 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
Create a free account to view solution
View Solution FreeMore Center of Mass Questions
A body A of mass M while falling vertically downwards under gravity breaks into two parts; a body B of mass 1/3 M and a ...The fig. shows a string of equally spaced beads of mass m, separated by distance d. The beads are free to slide without ...A ring of mass m and a particle of same mass fixed on a disc of same mass such that centre of mass of the system lies at...A small ball on a frictionless horizontal surface moves towards right with a velocity V. It collides with the wall and r...A wagon filled with sand has a hole so that sand leaks through the bottom at a constant rate λ. An external force a...