centripital force and centrifugal force questions with solutions

Showing 1–10 of 59 questions

• MCQmediumCircular Motioncentripital force and centrifugal force

  A body of mass 200g is tied to a spring of spring constant 12.5 N/m, while the other end of spring is fixed at point O. If the body moves about O in a circular path on a smooth horizontal surface with constant angular speed 5 rad/s, then the ratio of extension in the spring to its natural length will be :

  Options

  • Option A

    1:2

  • Option B

    1:1

  • Option C

    2:3

  • Option D

    2:5

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• Multi-correctmediumCircular Motioncentripital force and centrifugal force

  A particle P of mass m is attached to a vertical axis by two strings AP and BP of length l each. The separation AB = l. P rotates around the axis with an angular velocity ω. The tensions in the two strings are T₁ and T₂

  

  Select all that apply

  • Option A

    T₁=T₂

  • Option B

    T₁+T₂=mω²ℓ

  • Option C

    T₁-T₂=2mg

  • Option D

    BP remains taut only if ω≥√(2g/ℓ)

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• MCQmediumCircular Motioncentripital force and centrifugal force

  A ball of mass 0.25 kg tied to a string of length 1.96 m moves in a horizontal circle. The string breaks if tension exceeds 25 N. What maximum possible speed can it have?

  Options

  • Option A

    14 m s⁻¹

  • Option B

    3 m s⁻¹

  • Option C

    3.92 m s⁻¹

  • Option D

    5 m s⁻¹

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• MCQeasyCircular Motioncentripital force and centrifugal force

  A conical pendulum of mass m has its string making 60° with the vertical. The tension in the string is:

  Options

  • Option A

    mg

  • Option B

    mg/2

  • Option C

    2mg

  • Option D

    3mg

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• Multi-correctmediumCircular Motioncentripital force and centrifugal force

  A bead moves in a smooth radial groove of a horizontal disc rotating with constant angular speed ω. Which statements are correct?

  Select all that apply

  • Option A

    d²r/dt² = ω²r

  • Option B

    The groove reaction magnitude is 2mω|dr/dt|

  • Option C

    If dr/dt=0 at an instant, the groove reaction is zero at that instant

  • Option D

    The bead's kinetic energy must remain constant

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• NumericmediumCircular Motioncentripital force and centrifugal force

  A 1 kg bead slides in a smooth radial groove of a horizontal disc rotating with constant angular speed 2 rad/s. At an instant the bead has radial speed dr/dt=3 m/s. If the magnitude of the groove reaction is N newton, find N.

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• Multi-correctmediumCircular Motioncentripital force and centrifugal force

  In the shown figure inside a fixed hollow cylinder with vertical axis a pendulum is rotating in a conical path with its axis same as that of the cylinder with uniform angular velocity. Radius of cylinder is 30 cm, length of string is 50 cm and mass of bob is 400 gm. The bob makes contact with the inner frictionless wall of the cylinder while moving :-

  

  Select all that apply

  • Option A

    The minimum value of angular velocity of the bob so that it does not leave contact is 5 rad/s

  • Option B

    Tension in the string is 5 N for all values of angular velocity

  • Option C

    For angular velocity of 10 rad/s the bob pushes the cylinder with a force of 9 N

  • Option D

    For angular velocity 10 rad/s, tension in the string is 20 N.

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• NumericeasyCircular Motioncentripital force and centrifugal force

  A bead is in a smooth radial groove of a disc rotating with constant angular speed 3 rad/s. At an instant its distance from the centre is 2 m. If its radial acceleration d²r/dt²=N m/s², find N.

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• NumericeasyCircular Motioncentripital force and centrifugal force

  A conical pendulum has string length 1.25 m and cosθ=0.8. Take g=π² m/s². If the square of its time period is N s², find N.

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• MCQmediumCircular Motioncentripital force and centrifugal force

  Two particles of masses m₁ and m₂ are connected by a light spring and rotate on a smooth horizontal plane about their common centre of mass with angular speed ω. If their instantaneous separation is L, the spring tension is:

  Options

  • Option A

    [(m₁m₂)/(m₁+m₂)]ω²L

  • Option B

    (m₁+m₂)ω²L

  • Option C

    ½(m₁+m₂)ω²L

  • Option D

    [(m₁m₂)/(m₁-m₂)]ω²L

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