Combined Translational & Rotational Motion questions with solutions

Showing 1–10 of 91 questions

• MCQmediumRotational MotionCombined Translational & Rotational Motion

  A disc is rolling without slipping with angular velocity ω. P and Q are two points equidistant from the centre C. The order of magnitude of velocity is:-

  

  Options

  • Option A

    $V_{Q}$ > $V_{C}$ > $V_{P}$

  • Option B

    $V_{P}$ > $V_{C}$> $V_{Q}$

  • Option C

    $V_{P}$ = $V_{C}$, $V_{Q}$ = $V_{C}$/2

  • Option D

    $V_{P}$ < $V_{C}$ > $V_{Q}$

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• NumericmediumRotational MotionCombined Translational & Rotational Motion

  A solid sphere of mass 2 kg is making pure rolling on a horizontal surface with kinetic energy 2240 J. The velocity of centre of mass of the sphere will be ____ m s⁻¹.

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  JEE Mains29 January 2023Shift 1Morning Shift

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• MCQmediumRotational MotionCombined Translational & Rotational Motion

  A wheel rolls without slipping on a horizontal surface. The speed of the particle at the highest point of the rim is 8 m/s. The speed of a particle on the rim that is at the same level as the centre of the wheel is:

  Options

  • Option A

    8√2 m/s

  • Option B

    8 m/s

  • Option C

    4√2 m/s

  • Option D

    4 m/s

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  JEE Mains 2025 4 April Evening Shift

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• MCQmediumRotational MotionCombined Translational & Rotational Motion

  A yo-yo is resting on a perfectly rough horizontal table. Forces F₁, F₂ and F₃ are applied separately as shown. The correct statement is:-

  

  Options

  • Option A

    when F₃ is applied the centre of mass will move to the right.

  • Option B

    when F₂ is applied the centre of mass will move to the left.

  • Option C

    when F₁ is applied the centre of mass will move to the right.

  • Option D

    when F₂ is applied the centre of mass will move to the right.

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• Multi-correctmediumRotational MotionCombined Translational & Rotational Motion

  A plank with a uniform sphere placed on it rests on a smooth horizontal plane. Plank is pulled to right by a constant force F. If sphere does not slip over the plank. Which of the following is correct.

  

  Select all that apply

  • Option A

    Acceleration of the centre of sphere is less than that of the plank.

  • Option B

    Work done by friction acting on the sphere is equal to its total kinetic energy.

  • Option C

    Total kinetic energy of the system is equal to work done by the force F.

  • Option D

    None of the above

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• MCQmediumRotational MotionCombined Translational & Rotational Motion

  A hoop and a solid cylinder have the same mass and radius. They both roll, without slipping, on a horizontal surface. If their kinetic energies are equal

  Options

  • Option A

    the hoop has a greater translational speed than the cylinder

  • Option B

    the cylinder has a greater translational speed than the hoop

  • Option C

    the hoop and the cylinder have the same translational speed

  • Option D

    the hoop has a greater rotational speed than the cylinder

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• Multi-correctmediumRotational MotionCombined Translational & Rotational Motion

  A billiard ball initially at rest is given a sharp blow by a cue stick. The impulse is horizontal and is applied at a distance 2R/3 below the centreline, as shown in figure. The initial speed of the ball is v₀, and the coefficient of kinetic friction is μk.

  

  Select all that apply

  • Option A

    Friction initially acts in -î direction

  • Option B

    Friction initially acts in +î direction

  • Option C

    Ball starts pure rolling instantaneously

  • Option D

    Initial angular velocity = 5v₀/(3R)

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• MCQmediumRotational MotionCombined Translational & Rotational Motion

  A vertical force P is applied tangentially to the uniform cylinder shown. The coefficient of static friction at both contacts is 0.500. If the cylinder weight is Fg, what is the maximum P for which the cylinder does not rotate?

  

  Options

  • Option A

    Fg/4

  • Option B

    3Fg/8

  • Option C

    Fg/2

  • Option D

    5Fg/8

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• MCQmediumRotational MotionCombined Translational & Rotational Motion

  A solid sphere of mass m and radius R rests on a smooth horizontal surface. A horizontal impulse I is applied at height h=4R/5 above the centre. Which option correctly gives both (i) the minimum time after which the highest point touches the ground and (ii) the centre-of-mass displacement during that time?

  Options

  • Option A

    t=πRm/I; s=πR/2

  • Option B

    t=πRm/(2I); s=πR/2

  • Option C

    t=πRm/(2I); s=πR

  • Option D

    t=πRm/(4I); s=πR/2

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• NumericmediumRotational MotionCombined Translational & Rotational Motion

  A solid sphere of mass 1 kg rolls without slipping on a plane surface. Its kinetic energy is 7 × 10⁻³ J. The speed of the centre of mass of the sphere is ______ cm s⁻¹.

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  JEE Mains31 January 2023Shift 1Morning Shift

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