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Two masses over a heavy pulley: acceleration or the pulley's moment of inertia

This type of question, asked 3 times: 21 Jan 2026 S2, 22 Jan 2026 S2, 24 Jan 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    21 Jan 2026 S2

    7
    The pulley shown in figure is made using a thin rim and two rods of length equal to diameter of the rim. The rim and each rod have a mass of M . Two blocks of mass of M and m are attached to two ends of a light string passing over the pulley, which is hinged to rotate freely in vertical plane about its centre. The magnitudes of the acceleration experienced by the blocks is ____\_\_\_\_ (assume no slipping of string on pulley.)

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  2. Question 2

    22 Jan 2026 S2

    22
    Two masses m and 2 m are connected by a light string going over a pulley (disc) of mass 30 m with radius r=0.1 mr = 0.1\text{ }m. The pulley is mounted in a vertical plane and it is free to rotate about its axis. The 2 m mass is released from rest and its speed when it has descended through a height of 3.6 m is ____\_\_\_\_ m/sm/s. (Assume string does not slip and  g=10 m/s2)\left. \ g = 10\text{ }m/s^{2} \right)
  3. Question 3

    24 Jan 2026 S1

    16
    Two masses 400 g and 350 g are suspended from the ends of a light string passing over a heavy pulley of radius 2 cm . When released from rest the heavier mass is observed to fall 81 cm in 9 s . The rotational inertia of the pulley is ____\_\_\_\_ kg.m2kg.m^{2}. (g=9.8 m/s2g = 9.8\text{ }m/s^{2})

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