Rotational Constraint Motion questions with solutions

Showing 1–10 of 21 questions

• MCQmediumRotational MotionRotational Constraint 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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• ParagraphmediumRotational MotionRotational Constraint 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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• IntegereasyRotational MotionRotational Constraint 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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• NumericeasyRotational MotionRotational Constraint 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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• NumericmediumRotational MotionRotational Constraint Motion

  Two discs A and B touch each other as shown. A rope tightly wound on disc A is pulled downward with acceleration 2 m/s². Find the friction force (in N) between A and B if there is no slipping.

  

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• MCQmediumRotational MotionRotational Constraint 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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• MCQmediumRotational MotionRotational Constraint 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. As time increases,

  

  Options

  • Option A

    its angular velocity increases, but force on hinge remains constant

  • Option B

    its angular velocity remains same, but force on hinge increases

  • Option C

    its angular velocity increases and force on hinge increases

  • Option D

    its angular velocity remains same and force on hinge is constant

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• NumericmediumRotational MotionRotational Constraint Motion

  Blocks A and B of masses 4 kg and 2 kg are connected by a light string over a disc C of mass 40 kg and radius 0.1 m. The system is released from rest and the string does not slip. The number of revolutions made by the disc after 10 s is n × 10³/(26π). Find n.

  

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• IntegereasyRotational MotionRotational Constraint 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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• MCQmediumRotational MotionRotational Constraint 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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