vertical circular motion questions with solutions

Showing 1–10 of 46 questions

• MCQmediumWork , Power and Energyvertical circular motion

  A particle is suspended from O by a string of length L. A vertical line AB is at horizontal distance L/8 from O. The particle is given horizontal speed u. Its circular motion later ceases, and when it crosses AB its velocity is horizontal. Find u.

  

  Options

  • Option A

    u=√{gL[2+3√3/2]}

  • Option B

    u=√(2gL)

  • Option C

    u=√{gL[1+√3/2]}

  • Option D

    u=√(3gL)

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• NumericeasyWork , Power and Energyvertical circular motion

  A 2 kg particle moves in a vertical circle of radius 2 m. At the highest point its speed is 6 m/s. Take g=10 m/s². If the string tension at the top is N newton, find N.

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• NumericmediumWork , Power and Energyvertical circular motion

  A small block slides from rest from the top of a smooth hemisphere of radius R=3 m. Find the height h (m) above the ground at which it loses contact with the hemisphere.

  

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• MCQmediumWork , Power and Energyvertical circular motion

  A particle is released from rest with a taut horizontal string of length R, the other end being fixed. Immediately after release, the tension in the string is:

  Options

  • Option A

    0

  • Option B

    mg

  • Option C

    2mg

  • Option D

    mg/2

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• IntegermediumWork , Power and Energyvertical circular motion

  A closed circular tube of average radius 15 cm with rough inner walls is kept vertical. A 1 kg block just fits inside the tube and is introduced at the top with speed 22 m s⁻¹. After completing five oscillations, it stops at the bottom. work done by the tube on the block is ______ J. [g = 10 m s⁻²]

  

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  JEE Mains10 April 2023Shift 1Morning Shift

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• MCQmediumWork , Power and Energyvertical circular motion

  A simple pendulum of length 1 m has a wooden bob of mass 1 kg. It is struck by a bullet of mass 10⁻² kg moving with a speed of 2 × 10² m s⁻¹. The bullet gets embedded into the bob. The height to which the bob rises before swinging back is: [Use g = 10 m s⁻²]

  Options

  • Option A

    0.30 m

  • Option B

    0.20 m

  • Option C

    0.35 m

  • Option D

    0.40 m

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  JEE Mains 2024 01 Feb Morning Shift

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• Multi-correctmediumWork , Power and Energyvertical circular motion

  A small block slides without friction on the inside of a fixed vertical circular track. Which statements are correct while contact is maintained?

  Select all that apply

  • Option A

    Normal reaction is directed toward the centre

  • Option B

    Normal reaction does zero work

  • Option C

    At the top, N + mg = mv²/R

  • Option D

    Loss of contact occurs when the required normal reaction becomes zero

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• MCQmediumWork , Power and Energyvertical circular motion

  A particle moves in a vertical circle of radius R and has speed n√(gR) at the topmost point. Find K$E_bottom/KE_top.$

  

  Options

  • Option A

    (n²+4)/n

  • Option B

    n/(n²+4)

  • Option C

    (n²+2)/n

  • Option D

    (n²+4)/n²

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  JEE Mains 2025 29 Jan Morning Shift

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• A/ReasyWork , Power and Energyvertical circular motion

  Evaluate the following statements.

  Assertion

  Assertion (A): For the minimum-speed complete vertical circle, tension at the highest point is zero.

  Reason

  Reason (R): At the highest point, gravity alone can provide the required centripetal force in the limiting case.

  Options

  • Option A

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

  • Option B

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

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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• NumericmediumWork , Power and Energyvertical circular motion

  A particle is projected from the lowest point of a vertical circle of radius 1 m with the minimum speed needed to complete the circle. Take g=10 m/s². If the tension at the lowest point is N newton for a 1 kg particle, find N.

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