Center of MassHard

Question

A man of mass ′m′ climbs on a  rope of length L suspended below a balloon of mass M. The balloon is  stationary with respect to ground. If the man begins to climb up the rope at a speed vrel (relative to rope). In what direction and with what speed (relative to ground) will the balloon move?

Options

A.downwards,
B.upwards,
C.downwards,
D.downwards,

Solution

vcm = 0
mvB + m (vB + vrel) = 0
∴ vB = −
- sign means baloon moves downward

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