A rope thrown over a pulley has a ladder with a man of mass m on one of its ends and a counterbalancing mass M on its other end. The man climbs with a velocity V r relative to the ladder. Ignoring the masses of the pulley and the rope, as well as the friction on the pulley axis, the velocity of the centre of mass of this system, is :

Question

A rope thrown over a pulley has a ladder with a man of mass m on one of its ends and a counterbalancing mass M on its other end. The man climbs with a velocity V r relative to the ladder. Ignoring the masses of the pulley and the rope, as well as the friction on the pulley axis, the velocity of the centre of mass of this system, is :, m M V r, m 2 M V r, M m V r, 2 M m V r

MARKS App · Accepted Answer

The masses of load, ladder and man are M, M-m and m respectively. Their velocities are V (upward), -V and V r - V respectively ∴ V c m = Σ m i V i Σ m i = M v + M - m - v + m V r - v 2 M = m 2 M V r

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