JEE Main Physics question
A block of mass M is attached to the lower end of a vertical rope of mass m (non-negligible). An upward force P acts on the upper end of the rope, and the system is free to move (accelerating). The force exerted by the rope on the block is M(g+a), where a is the common acceleration of the system. Is this true
Answer: (A)
Solution
Newton's second law applied to the entire system (block + rope, total mass M+m): P − (M+m)g = (M+m)a, so a depends only on the total mass of the rope (not its internal distribution). Since the rope is inextensible, every part of it — including the block — shares this same
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