Rolling Motion on Inclined Planes questions with solutions

Showing 1–10 of 35 questions

• MCQmediumRotational MotionRolling Motion on Inclined Planes

  A ball rolls down an inclined plane as shown in figure. The ball is first released from rest from P and then later from Q. Which of the following statement is/are correct? (i) The ball takes twice as much time to roll from Q to O as it does to roll from P to O. (ii) The acceleration of the ball at Q is twice as large as the acceleration at P. (iii) The ball has twice as much K.E. at O when rolling from Q as it does when rolling from P.

  

  Options

  • Option A

    i, ii only

  • Option B

    ii, iii only

  • Option C

    i only

  • Option D

    iii only

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• NumericmediumRotational MotionRolling Motion on Inclined Planes

  A solid sphere and a hollow cylinder roll up without slipping on same inclined plane with same initial speed v. The sphere and the cylinder reach upto maximum heights h₁ and h₂, respectively, above the initial level. The ratio h₁ : h₂ is n/10. The value of n is ____.

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  JEE Mains 2024 04 Apr Morning Shift

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• MCQeasyRotational MotionRolling Motion on Inclined Planes

  A solid sphere and a hollow sphere roll without slipping from rest through equal distances on the same inclined plane. If their times are t₁ and t₂ respectively, then:

  Options

  • Option A

    t₁ > t₂

  • Option B

    t₁ < t₂

  • Option C

    t₁ = 2t₂

  • Option D

    t₁ = t₂

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  JEE Mains 2025 24 Jan Evening Shift

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• NumericmediumRotational MotionRolling Motion on Inclined Planes

  A circular disc reaches from top to bottom of an inclined plane of length ℓ. When it slips down the plane, it takes t s. When it rolls down the plane then it takes (α/2)¹ᐟ² t s, where α is ______.

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  JEE Mains 2024 09 Apr Evening Shift

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• NumericeasyRotational MotionRolling Motion on Inclined Planes

  A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bodies are identical and the ratio of their kinetic energies is 7/x where x is ________.

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  JEE Mains 2024 27 Jan Evening Shift

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• Multi-correctmediumRotational MotionRolling Motion on Inclined Planes

  If a cylinder is rolling down the incline with sliding.

  Select all that apply

  • Option A

    after some time it may start pure rolling

  • Option B

    after sometime it will start pure rolling

  • Option C

    it may be possible that it will never start pure rolling

  • Option D

    none of these

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• MCQmediumRotational MotionRolling Motion on Inclined Planes

  A solid sphere is under pure rolling on a rough fixed incline plane of angle θ. Choose the correct options if only contact forces and gravity are acting:

  Options

  • Option A

    Frictional force will be down the incline if sphere rolls up the incline and it will be up the incline if sphere rolls down the incline.

  • Option B

    Frictional force will be down the incline whether spheres rolls up the incline or down the incline

  • Option C

    Frictional force and acceleration of the body will increase with the increase in angle of incline plane

  • Option D

    Velocity and acceleration of the point of contact of sphere with incline will be zero during the motion.

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• MCQeasyRotational MotionRolling Motion on Inclined Planes

  A uniform solid sphere rolls without slipping from rest through the same vertical height on inclines of 30° and 45°, attaining speeds v₁ and v₂ respectively. The ratio v₁²/v₂² is:

  Options

  • Option A

    1

  • Option B

    5/2

  • Option C

    2/5

  • Option D

    √3/√2

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  JEE Mains 2025 23 Jan Morning Shift

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• NumericeasyRotational MotionRolling Motion on Inclined Planes

  A cylinder is rolling down on an inclined plane of inclination 60°. It's acceleration during rolling down will be x/√3 m/s², where x = _________. (use g = 10 m/s²).

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  JEE Mains 2024 29 Jan Morning Shift

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• MCQmediumRotational MotionRolling Motion on Inclined Planes

  A rigid body of uniform density rolls without slipping up a curved track with initial centre-of-mass speed v₀. It rises until its speed becomes zero, and the maximum vertical height gained is 7v₀² /(10g). Which of the following bodies is consistent with this observation?

  

  Options

  • Option A

    Solid cylinder

  • Option B

    Ring

  • Option C

    Disc

  • Option D

    Solid sphere

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  JEE Mains 2026 5 April Evening Shift

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