A block of mass M is resting on a smooth horizontal plane. One end of a uniform rope of mass M 4 is fixed to the block, which pulled it in the horizontal direction by applying a force F at the other ends. The tension in the middle of the rope is

Question

A block of mass M is resting on a smooth horizontal plane. One end of a uniform rope of mass M 4 is fixed to the block, which pulled it in the horizontal direction by applying a force F at the other ends. The tension in the middle of the rope is, F 2, F 5, 9 10 F, F

MARKS App · Accepted Answer

According to the question, Acceleration of the system (the block and the rope), a = F M + M 4 = 4 F 5 M Let the tension at the mid-point of the rope is T , F B D of the system Applying Newton's 2 n d law, T = M + M 8 a = 9 M 8 × 4 F 5 M = 9 10 F

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