rotational constrain motion questions with solutions

Showing 1–10 of 21 questions

• MCQmediumRotational Motionrotational constrain motion

  A fixed pulley of radius 20 cm and moment of inertia 0.32 kg·m² about its axle has a massless cord wrapped around its rim. A mass M of 2 kg is attached to the end of the cord. The pulley can rotate about its axis without any friction. The acceleration of the mass M is:- (Assume g = 10 m/s²)

  

  Options

  • Option A

    1m/s²

  • Option B

    3 m/s²

  • Option C

    2m/s²

  • Option D

    4m/s²

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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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• ParagraphmediumRotational Motionrotational constrain motion

  A thread is wrapped around a cylindrical spool of radius 1.5 cm whose axis is fixed. With constant linear acceleration, 6.28 cm of thread is pulled in 2 s from rest.

  

  Sub-question 1

  What is the angular velocity of the spool at 1.5 sec ?

  Options

  • Option A

    πrad/s

  • Option B

    π/2rad/s

  • Option C

    3π/4rad/s

  • Option D

    π/4rad/s

  Sub-question 2

  If the thread was pulled with a constant speed so that it takes 2 sec to pull 6.28 cm of thread. The angular velocity of spool at 1.5 sec is:

  Options

  • Option A

    4/3 of what was obtained in previous question.

  • Option B

    2/3 of what was obtained in previous question.

  • Option C

    Same as what was obtained in previous question.

  • Option D

    Cannot be predicted

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• MCQeasyRotational Motionrotational constrain motion

  A bob moves in a horizontal circle on a string at angular speed ω with tension T. Keeping radius fixed, if its speed doubles to 2ω, the tension becomes:

  Options

  • Option A

    4T

  • Option B

    T/4

  • Option C

    √2 T

  • Option D

    T

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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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• ParagraphmediumRotational Motionrotational constrain motion

  A winch is turned by a wrench to lift a block 1 m in 10 s. Student 1 says a longer wrench reduces the average applied force; Student 2 says it reduces the work done; Student 3 says it reduces the required power.

  

  Sub-question 1

  Student 1 is:-

  Options

  • Option A

    correct, because the torque that the wrench must exert to lift the block doesn't depend on the wrench's length.

  • Option B

    correct, because using a longer wrench decreases the torque it must exert on the winch.

  • Option C

    incorrect, because the torque that the wrench must exert to lift the block doesn't depend on the wrench's length.

  • Option D

    Incorrect, because using a longer wrench decreases the torque it must exert on the winch.

  Sub-question 2

  Which of the following is true about student 2 and 3:

  Options

  • Option A

    Student 2 and 3 are both correct

  • Option B

    Student 2 is correct, but student 3 is incorrect

  • Option C

    Student 3 is correct, but student 2 is incorrect

  • Option D

    Student 2 and 3 are both incorrect

  Sub-question 3

  If several wrenches all apply the same torque to a nut, which graph best expresses the relationship between the force the person must apply to the wrench, and the length of the wrench:-

  Options

  • Option A

    
  • Option B

    
  • Option C

    
  • Option D

    

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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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• 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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• MCQmediumRotational Motionrotational constrain motion

  A smooth pulley P of mass M = 2 kg is lying on a smooth table. A light string passes round the pulley and has mass m = 1 kg and m' = 2kg attached to its ends, the two portions of the string being perpendicular to the edge of the table so that the masses hang vertically. Acceleration of pulley is-

  

  Options

  • Option A

    g/2

  • Option B

    2g/3

  • Option C

    4g/9

  • Option D

    4g/7

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• MCQmediumRotational Motionrotational constrain motion

  A pulley is hinged at the centre and a massless thread is wrapped around it. The thread is pulled with a constant force F starting from rest. If dv/dt = 0, then the angular acceleration of the ladder when α = 45° is:-

  

  Options

  • Option A

    2v²/L²

  • Option B

    v²/(2L²)

  • Option C

    √2·v²/L²

  • Option D

    None

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