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The pulley arrangement of figure are ide...

The pulley arrangement of figure are identical. The mass of the rope is negligible. In (a) mass m is lifted up by attaching a mass (2m) to the other end of the rope. In (b), m is lifted up by pulling the other end of the rope with a constant downward force F = 2 mg. In which case, the acceleration of m is more?

Text Solution

Verified by Experts

Case (a): `a = ( (2m - m)/(2m + m)) g `
Case (b): FBD of mass m
ma. = T-mg
ma. = 2mg - mg
` rArr` ma. = mg
a. = g
So in case (b) acceleration of m is more.
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