combined translatory and rotatory motion ,Pure rolling motion questions with solutions

Showing 1–10 of 15 questions

• NumericmediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A uniform rod AB of mass 2 kg and length 30 cm is at rest on a smooth horizontal surface. An impulse of force 0.2 N s is applied to end B. The time taken by the rod to turn through a right angle will be π/x s, where x = ____. Image

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  JEE Mains 2024 01 Feb Evening Shift

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• NumericeasyRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A solid circular disc of mass 50 kg rolls along a horizontal floor so that its center of mass has a speed of 0.4 m s⁻¹. The absolute value of work done on the disc to stop it is ______ J.

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  JEE Mains 2024 31 Jan Morning Shift

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• IntegermediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A solid sphere rolls without slipping. The ratio of its angular momentum about its rotation axis to its total kinetic energy is π:22. Find its angular speed in rad s⁻¹.

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  JEE Mains13 April 2023Shift 1Morning Shift

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• MCQmediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A solid cylinder of radius R rolls without slipping with a center of mass speed v₀ = √(gR/3) on a horizontal surface with a vertical edge, as shown in the figure. Here, g is the acceleration due to gravity. At the moment when the cylinder loses contact with the surface due to rotation around the corner, the speed of its center of mass is:

  

  Options

  • Option A

    0

  • Option B

    √(5gR/7)

  • Option C

    √(gR/15)

  • Option D

    √(3gR/7)

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  JEE Advanced2026Paper 1

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• MCQmediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A tangential force of 49 N is applied at the highest point of a solid sphere of mass 20 kg resting on a rough horizontal plane. If the sphere rolls without slipping, the acceleration of its centre is:

  Options

  • Option A

    0.25 m/s²

  • Option B

    2.5 m/s²

  • Option C

    0.35 m/s²

  • Option D

    3.5 m/s²

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  JEE Mains 2025 3 April Morning Shift

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• MCQeasyRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A solid sphere rolls without slipping on a horizontal plane. The ratio of translational kinetic energy to rotational kinetic energy is:

  Options

  • Option A

    4/3

  • Option B

    $\frac{3}{4}$

  • Option C

    2/5

  • Option D

    5/2

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  JEE Mains 2025 24 Jan Evening Shift

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• MCQmediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A disc of radius R rolls without slipping. At t=0 the topmost material point is A. After the disc completes half a rotation, the displacement of A from its initial position is:

  

  Options

  • Option A

    2R√(1+4π²)

  • Option B

    R√(π²+4)

  • Option C

    2R

  • Option D

    R√(π²+1)

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  JEE Mains13 April 2023Shift 1Morning Shift

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• MCQmediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A solid sphere A of mass 5m and a thin spherical shell B of mass m have the same radius. Each is placed on a rough horizontal surface. A horizontal force of the same magnitude F is applied tangentially at the highest point of each body. Both bodies start rolling without slipping with linear accelerations $a_{A}$and $a_{B}$, respectively. What is the ratio $a_{\char"391 }$:$a_{B}$?

  Options

  • Option A

    5:21

  • Option B

    6:10

  • Option C

    21:25

  • Option D

    1:5

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  JEE Mains 2026 6 April Evening Shift

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• MCQmediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A uniform bar of length 12 cm and mass 20 m lies on a smooth horizontal table. Two point masses m and 2 m are moving in opposite directions with same speed of v and in the same plane as the bar, as shown in figure. These masses strike the bar simultaneously and get stuck to it. After collision the entire system is rotating with angular frequency ω. The ratio of v and ω is :

  

  Options

  • Option A

    33

  • Option B

    2√88

  • Option C

    66

  • Option D

    32

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  JEE Mains 202622 January Evening Shift

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• NumericmediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A hollow sphere is rolling on a plane surface about its axis of symmetry. The ratio of rotational kinetic energy to its total kinetic energy is x/5. The value of x is ________.

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  JEE Mains 2024 05 Apr Evening Shift

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