Rotational Motion questions with solutions

Showing 1–10 of 415 questions

• MCQmediumRotational Motionangular impulse in pure rotation and rotational collision

  A bar of mass M = 1.00 kg and length L = 0.20 m is lying on a horizontal frictionless surface. One end of the bar is pivoted at a point about which it is free to rotate. A small mass m = 0.10 kg is moving on the same horizontal surface with 5.00 m·s⁻¹ speed on a path perpendicular to the bar. It hits the bar at a distance L/2 from the pivoted end and returns back on the same path with speed v. After this elastic collision, the bar rotates with an angular velocity ω. Which of the following statement is correct?

  Options

  • Option A

    ω = 6.98 rad·s⁻¹ and v = 4.30 m·s⁻¹

  • Option B

    ω = 3.75 rad·s⁻¹ and v = 4.30 m·s⁻¹

  • Option C

    ω = 3.75 rad·s⁻¹ and v = 10.0 m·s⁻¹

  • Option D

    ω = 6.80 rad·s⁻¹ and v = 4.10 m·s⁻¹

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  JEE Advanced 2023

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• A/ReasyRotational Motionangular momentum in pure rotation and its conservation

  Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

  Assertion

  An electric fan continues to rotate for some time after the current is switched off.

  Reason

  The fan continues to rotate because of inertia of motion.

  Options

  • Option A

    A is false but R is true

  • Option B

    Both A and R are true and R is the correct explanation of A

  • Option C

    Both A and R are true but R is not the correct explanation of A

  • Option D

    A is true but R is false

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  JEE Mains10 April 2023Shift 2Evening Shift

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• MCQmediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  Two particles each of mass M are connected by a massless rod of length l. The rod is lying on the smooth surface. If one of the particle is given an impulse MV as shown in the figure then angular velocity of the rod would be

  

  Options

  • Option A

    v/l

  • Option B

    2v/l Mv

  • Option C

    Mv/2l

  • Option D

    None

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• MCQmediumRotational Motionmoment of inertia and kinetic energy in pure rotation

  The square structure shown in figure consists of four point masses connected by rods of negligible mass. Mark the CORRECT option regarding the moment of inertia of the structure about the following axes:

  

  Options

  • Option A

    Axis A, through the centre and normal to the plane: I about A = ma²

  • Option B

    Axis B, through one point mass and normal to the plane: I about B = 3ma²

  • Option C

    Axis CC′, through two adjacent point masses: I about CC′ = 2ma²

  • Option D

    Axis DD′, along the diagonal: I about DD′ = 2ma²

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• MCQmediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A solid sphere of mass M and radius r slips on a rough horizontal plane. At some instant it has translational velocity v₀ and rotational velocity about the centre v₀/2r. The translational velocity after the sphere starts pure rolling

  

  Options

  • Option A

    6v₀/7 forward

  • Option B

    6v₀/7 backward

  • Option C

    7v₀/6 forward

  • Option D

    v₀ backward

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• MCQeasyRotational Motionquestin based on instantaneous axis of rotation and Toppling

  A uniform disc rolls without slipping with $v_{cm}$ as centre-of-mass speed. Find velocities of its highest point and instantaneous point of contact.

  Options

  • Option A

    2$v_{cm}$ and zero

  • Option B

    $v_{cm}$ and $v_{cm}$

  • Option C

    2$v_{cm}$ and $v_{cm}$

  • Option D

    2$v_{cm}$ and 2$v_{cm}$

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  AIPMT 2001NEET

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• MCQeasyRotational Motiontorque and rotational equilibrium

  A force 3$\hat{j}$N acts on a particle at r=2$\hat{k}$ m. Find its torque about the origin.

  Options

  • Option A

    6$\hat{j}$ N·m

  • Option B

    -6$\hat{i}$ N·m

  • Option C

    -6$\hat{k}$ N·m

  • Option D

    6$\hat{i}$ N·m

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  NEET 2020

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• MCQmediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A ring of mass m is thrown in horizontal direction on a rough horizontal surface with a speed v₀. The speed of the ring, when it start pure rolling, is -

  

  Options

  • Option A

    v₀/2

  • Option B

    v₀/3

  • Option C

    2v₀/3

  • Option D

    v₀

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• MCQmediumRotational Motionrolling on inclined surface

  A small solid sphere rolls without slipping from rest at A, leaves the track horizontally at B and strikes the ground at C. For a=1.5 m and b=1.2 m, which option correctly gives both (i) the speed at C and (ii) the horizontal distance c?

  

  Options

  • Option A

    (i) 5.68 m/s; (ii) 2.27 m

  • Option B

    (i) 6.68 m/s; (ii) 1.27 m

  • Option C

    (i) 7.68 m/s; (ii) 2.77 m

  • Option D

    (i) 6.68 m/s; (ii) 2.27 m

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• MCQmediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A uniform rod AB of mass m and length l is at rest on a smooth horizontal surface. An impulse J is applied to the end B, perpendicular to the rod in the horizontal direction. Speed of particle P at a distance l/6 from the centre towards A of the rod after time t = πml 12J is

  Options

  • Option A

    2J/m

  • Option B

    J/(√2m)

  • Option C

    J/m

  • Option D

    √2J/m

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