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MHT CET 2026 (18 Apr, Shift 1) · Connected Bodies & Pulleys

Connected Bodies & Pulleys question from MHT CET 2026 (18 Apr, Shift 1)

Q3MHT CET 2026 · 18 APR · SHIFT 1Medium

Connected Bodies & Pulleys

A block of mass M is lying on a horizontal frictionless surface. One end of the uniform rope of half the mass of the block is fixed to the block which is pulled in the horizontal direction by applying a force F at the other end. The tension in the middle of the rope will be

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Answer: (d)

  1. Rope mass =M2= \frac{M}{2}, total mass =3M2= \frac{3M}{2}, so a=2F3Ma = \dfrac{2F}{3M}.
  2. Behind the middle of the rope: block ++ half the rope =M+M4=5M4= M + \frac{M}{4} = \frac{5M}{4}.
  3. T=5M4×2F3M=5F6T = \frac{5M}{4} \times \dfrac{2F}{3M} = \dfrac{5F}{6}
  4. So the answer is (d).
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