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A 60kg painter on a 15 kg platform. A ro...

A 60kg painter on a 15 kg platform. A rope attached to the platform and passing over an overhead pulley allows the painter to raise himself along with the platform.

What force must he exert on the rope so as to attain an upward speed of ` 1 m//s` in 1s ?

Text Solution

Verified by Experts

The free body diagram of the painter and the platform as a system can be drawn as shown in the figure. Note that the tension in the string is equal to the force by which he pulls the rope.

When the painter and the platform move (upward) together with a constant speed, it is in a state of dynamic equilibrium.
Thus, `2F-(M+m)g=0`
or `F=((M+m)g)/(2)=((60+15)(10))/(2)=375N`
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