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MHT-CET Rotational Dynamics — practice questions

Explore 64 free Rotational Dynamics questions in MHT-CET Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Rotational Dynamics questions and exercises with answers

Showing questions 1–30 of 64.

Which quantity is the rotational analogue of mass in linear motion?Read the answer and worked solution →Moment of inertia of a thin uniform hoop of mass M and radius R about its central perpendicular axis isRead the answer and worked solution →What is I for a uniform circular plate of mass M and radius R about its central axis?Read the answer and worked solution →What is the radius of gyration of a uniform ring about its own axis, in terms of its radius R?Read the answer and worked solution →A larger radius of gyration about an axis means that the mass of the body isRead the answer and worked solution →According to the theorem of parallel axes, the moment of inertia about any axis isRead the answer and worked solution →The theorem of perpendicular axes is applicable to which kind of object?Read the answer and worked solution →For a laminar body, if x and y axes lie in its plane and z is perpendicular to it, the theorem givesRead the answer and worked solution →A uniform disc of mass M and radius R. What is its moment of inertia about a diameter?Read the answer and worked solution →A ring of mass M and radius R. Its moment of inertia about a tangent in the plane of the ring isRead the answer and worked solution →The rotational kinetic energy of a rigid body of moment of inertia I and angular speed ω isRead the answer and worked solution →The magnitude of angular momentum of a particle with momentum p at position r making angle θ isRead the answer and worked solution →Torque on a body equals the time rate of change of itsRead the answer and worked solution →The angular momentum of a rigid body rotating about a fixed axis is given byRead the answer and worked solution →Angular momentum of a system stays constant whenRead the answer and worked solution →A skater spinning on ice pulls her arms in. Her angular speedRead the answer and worked solution →A skater pulls her arms in with no external torque. Her rotational kinetic energyRead the answer and worked solution →A rotating platform has no external torque. Its moment of inertia halves. Its angular speed becomesRead the answer and worked solution →A disc spins at 60 rpm. With no external torque, its moment of inertia falls to one quarter. New speed in rpm?Read the answer and worked solution →The direction of angular velocity of a rotating body isRead the answer and worked solution →Uniform circular motion is an accelerated motion becauseRead the answer and worked solution →In uniform circular motion, the magnitude of acceleration with speed v and radius r isRead the answer and worked solution →A car moves at constant 10 m/s on a circular path of radius 20 m. Its acceleration in m/s² isRead the answer and worked solution →A particle revolves with frequency 5 Hz. Its angular velocity in rad/s isRead the answer and worked solution →In non-uniform circular motion, tangential acceleration is responsible for changing theRead the answer and worked solution →During a non-uniform circular motion, the radial (centripetal) acceleration isRead the answer and worked solution →A fan slows down. The angular acceleration vector is then directedRead the answer and worked solution →A fan at 90 rpm stops after 21 turns under constant friction. Time to stop (s)?Read the answer and worked solution →A vehicle on a flat circular road does not skid if its speed v is at mostRead the answer and worked solution →On a flat circular road, which force supplies the centripetal force to a turning car?Read the answer and worked solution →

Worked practice questions

Which quantity is the rotational analogue of mass in linear motion?

  1. Moment of inertia
  2. Torque on a body
  3. Angular momentum
  4. Angular velocity
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Correct answer: A. Moment of inertia

Moment of inertia measures resistance to change in rotation, just as mass does for translation.

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Moment of inertia of a thin uniform hoop of mass M and radius R about its central perpendicular axis is

  1. MR²/2
  2. MR²/4
  3. 2MR²/5
  4. MR²
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Correct answer: D. MR²

All the mass of the ring lies at distance R from the axis, so I equals MR².

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What is I for a uniform circular plate of mass M and radius R about its central axis?

  1. MR²/2
  2. MR²
  3. MR²/4
  4. 2MR²/5
Show answer and solution

Correct answer: A. MR²/2

Adding up concentric rings of the disc by integration gives I equal to half of MR².

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