friction and circular motion questions with solutions

Showing 1–10 of 27 questions

• MCQmediumCircular Motionfriction and circular motion

  A rider is moving safely at constant height in a Well of Death. If the speed is increased while the radius remains unchanged, which statement is correct?

  Options

  • Option A

    The normal reaction decreases

  • Option B

    The normal reaction increases

  • Option C

    The required friction to balance weight increases

  • Option D

    The rider's weight decreases

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• MCQeasyCircular Motionfriction and circular motion

  A large drum having radius R is spinning around its axis with angular velocity ω, as shown in figure. The minimum value of ω so that a body of mass M remains stuck to the inner wall of the drum, taking the coefficient of friction between the drum surface and mass M is μ, is :

  

  Options

  • Option A

    √(μg/R)

  • Option B

    √(2g/(μR))

  • Option C

    √(g/(2μR))

  • Option D

    √(g/(μR))

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• NumericmediumCircular Motionfriction and circular motion

  A rider moves in a horizontal circle of radius 8 m inside a Well of Death with speed 20 m/s. Take g = 10 m/s². If the minimum coefficient of friction required is μ_min = N/5, find N.

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• Multi-correctmediumCircular Motionfriction and circular motion

  Which statements about friction-assisted circular motion are correct?

  Select all that apply

  • Option A

    On a flat circular road, static friction can provide the required centripetal force

  • Option B

    On a horizontal rotating disc with constant angular speed, static friction on a non-slipping coin can act radially inward

  • Option C

    On a banked road, friction always acts down the slope

  • Option D

    In a Well of Death, the normal reaction can provide centripetal force while friction provides vertical support

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• MCQeasyCircular Motionfriction and circular motion

  A rider moves at constant height in a horizontal circle on the inner wall of a cylindrical Well of Death. Which force provides the centripetal force?

  Options

  • Option A

    Weight

  • Option B

    Friction

  • Option C

    Normal reaction from the wall

  • Option D

    Resultant of weight and friction

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• NumericeasyCircular Motionfriction and circular motion

  A circular road of radius 40 m is banked for a frictionless design speed of 20 m/s. Take g = 10 m/s². If tanθ = N/10, find N.

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• MCQmediumCircular Motionfriction and circular motion

  A train is moving with a speed of 12 m/s on rails which are 1.5 m apart. To negotiate a curve radius 400 m, the height by which the outer rail should be raised with respect to the inner rail is (Given, g = 10 m/s²) :

  Options

  • Option A

    6.0 cm

  • Option B

    5.4 cm

  • Option C

    4.8 cm

  • Option D

    4.2 cm

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• NumericmediumCircular Motionfriction and circular motion

  A 1 kg coin is placed 0.5 m from the centre of a horizontal disc. At an instant the disc has angular speed 2 rad/s and angular acceleration 4 rad/s². If the required frictional force is N√2 newton, find N.

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• MCQmediumCircular Motionfriction and circular motion

  For a banked road of radius r and banking angle θ with coefficient of friction μ, the maximum possible speed is:

  Options

  • Option A

    √{gr(μ+tanθ)/(1-μtanθ)}

  • Option B

    √{gr(μ-tanθ)/(1-μtanθ)}

  • Option C

    √{gr(1+μtanθ)/(1-μtanθ)}

  • Option D

    √{gr(μ-tanθ)/(1+μtanθ)}

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• MCQeasyCircular Motionfriction and circular motion

  A coin is placed on a disc. The coefficient of friction between the coin and the disc is μ. If the distance of the coin from the center of the disc is r, the maximum angular velocity which can be given to the disc, so that the coin does not slip away, is:

  Options

  • Option A

    √(μg/r)

  • Option B

    √(μr/g)

  • Option C

    √(μg/r)

  • Option D

    √(μrg)

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