vertical circular motion questions with solutions

Showing 1–10 of 24 questions

• Multi-correctmediumWork , Power and Energyvertical circular motion

  A particle moves in a vertical circle of radius R under gravity while constrained by a light string. At a point where the string makes angle θ with the vertically downward direction, which relations are correct?

  Select all that apply

  • Option A

    v² = $v_B²$ - 2gR(1-cosθ)

  • Option B

    T = mv²/R + mg cosθ

  • Option C

    Mechanical energy remains constant while the string is taut

  • Option D

    Tension does positive work because it points toward the centre

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• MCQmediumWork , Power and Energyvertical circular motion

  A body of m kg slides from rest along the curve of vertical circle from point A to B in friction less path. The velocity of the body at B is:

  

  (given, R = 14 m, g = 10 m/s² and √2 = 1.4)

  Options

  • Option A

    19.8 m/s

  • Option B

    21.9 m/s

  • Option C

    16.7 m/s

  • Option D

    10.6 m/s

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  JEE Mains 2024 04 Apr Evening Shift

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• MCQmediumWork , Power and Energyvertical circular motion

  A small block starts from rest at height h above the bottom of a smooth vertical loop of radius R. The minimum h for maintaining contact throughout the loop is:

  Options

  • Option A

    2R

  • Option B

    5R/2

  • Option C

    3R

  • Option D

    4R

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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 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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• MCQmediumWork , Power and Energyvertical circular motion

  A particle attached to a string is projected from the lowest point of a vertical circle of radius R with speed 2√(gR). What happens before it reaches the highest point?

  Options

  • Option A

    It completes the circle with positive tension everywhere

  • Option B

    The string becomes slack before the top

  • Option C

    It reaches the top with zero speed while string remains taut

  • Option D

    It stops exactly at the horizontal position

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• NumericeasyWork , Power and Energyvertical circular motion

  A 1 kg particle attached to a string of length 1 m has speed √(30) m/s at a point where the string is horizontal. Take g=10 m/s². If tension there is N newton, find N.

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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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• Multi-correctmediumWork , Power and Energyvertical circular motion

  A particle is moving in a vertical circle with a string. Compare the lowest point B and highest point T while the string remains taut. Which statements are correct?

  Select all that apply

  • Option A

    $K_B$ - $K_T$ = 2mgR

  • Option B

    $v_B²$ - $v_T²$ = 4gR

  • Option C

    $T_B$ - $T_T$ = 6mg

  • Option D

    If $T_T$ = 0, then $T_B$ = 6mg

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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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