rotational constrain motion questions with solutions

Showing 1–7 of 7 questions

• NumericeasyRotational Motionrotational constrain motion

  A string is wrapped around the rim of a wheel of moment of inertia 0.40 kg m² and radius 10 cm. The wheel is free to rotate about its axis. Initially the wheel is at rest. The string is now pulled by a force of 40 N. The angular velocity of the wheel after 10 s is x rad/s, where x is _______.

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  JEE Mains 2024 09 Apr Morning Shift

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• IntegermediumRotational Motionrotational constrain motion

  A fly wheel having mass 3 kg and radius 5 m is free to rotate about a horizontal axis. A string having negligible mass is wound around the wheel and the loose end of the string is connected to a 3 kg mass. The mass is kept at rest initially and released. Kinetic energy of the wheel when the mass descends by 3 m is ______ J.

  (g = 10 m/s²)

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  JEE Mains 202628 January Evening Shift

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• IntegereasyRotational Motionrotational constrain motion

  A wheel of radius 0.20 m rotates freely about its centre. A string wrapped around its rim is pulled tangentially with a force of 10 N, producing an angular acceleration of 2 rad/s². Find the moment of inertia of the wheel in kg m².

  

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  JEE Mains 2025 2 April Evening Shift

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• MCQmediumRotational Motionrotational constrain motion

  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·m².

  (g = 9.8 m/s²)

  Options

  • Option A

    9.5 × 10⁻³

  • Option B

    4.75 × 10⁻³

  • Option C

    1.86 × 10⁻²

  • Option D

    8.3 × 10⁻³

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  JEE Mains 202624 January Morning Shift

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• MCQmediumRotational Motionrotational constrain motion

  A cord of negligible mass is wound around the rim of a wheel supported by spokes of negligible mass. The wheel has mass 10 kg and radius 10 cm and rotates freely without friction. Initially it is at rest. A steady pull of 20 N is applied to the cord. The angular velocity after the cord is unwound by 1 m is:

  

  Options

  • Option A

    20 rad/s

  • Option B

    10 rad/s

  • Option C

    30 rad/s

  • Option D

    0 rad/s

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  JEE Mains 2025 2 April Morning Shift

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• MCQmediumRotational Motionrotational constrain motion

  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.)

  

  Options

  • Option A

    (M - m)g/[(13/6)M + m]

  • Option B

    (M - m)g/(M + m)

  • Option C

    (M - m)g/[(8/3)M + m]

  • Option D

    (M - m)g/(2M + m)

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  JEE Mains 202621 January Evening Shift

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• IntegereasyRotational Motionrotational constrain motion

  A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope is pulled by a force 52.5 N. Find the angular acceleration in rad s⁻².

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  13 April 2023 Evening Shift

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