Friction in Circular Motion questions with solutions

Showing 1–10 of 67 questions

• MCQmediumCircular MotionFriction in Circular Motion

  A road of radius 20 m is banked for 36 km/h. If µₛ=0.4, find the permissible speed range for no slipping. Take g=10 m/s².

  Options

  • Option A

    14.7 km/h to 54 km/h

  • Option B

    20 km/h to 50 km/h

  • Option C

    36 km/h to 54 km/h

  • Option D

    0 to 36 km/h

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• MCQmediumCircular MotionFriction in Circular Motion

  For an 800 kg vehicle negotiating a 30° banked road at the maximum speed without skidding, with µₛ=0.2 and cos30°=0.87, the normal reaction is ______×10³ N.

  Options

  • Option A

    10.2

  • Option B

    7.2

  • Option C

    12.4

  • Option D

    6.96

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• MCQmediumCircular MotionFriction in Circular Motion

  A car negotiates a banked curve of radius R, banking angle θ and tyre-road static friction coefficient μₛ. The maximum safe speed is:

  Options

  • Option A

    √[g(μₛ+tanθ)/(R(1-μₛtanθ))]

  • Option B

    √[g(μₛ+tanθ)/(R²(1-μₛtanθ))]

  • Option C

    √[gR²(μₛ+tanθ)/(1-μₛtanθ)]

  • Option D

    √[gR(μₛ+tanθ)/(1-μₛtanθ)]

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• NumericmediumCircular MotionFriction in Circular Motion

  A cyclist moving with a speed of 4.9 m/s on a level road can take a sharp circular turn of radius 4 m, then find the minimum value of coefficient of friction between the cycle tyres and road. (g = 9.8 m/s²)

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• Multi-correctmediumCircular MotionFriction in Circular Motion

  A rider moves at constant height in a horizontal circle inside a cylindrical Well of Death. Which statements are correct?

  Select all that apply

  • Option A

    $N_R$ = mv²/r

  • Option B

    Static friction acts upward

  • Option C

    At the minimum possible speed, f = μ$N_R$

  • Option D

    $v_min$ = √(rg/μ)

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• MCQmediumCircular MotionFriction in Circular Motion

  A circular racetrack of radius 300 m is banked at 15° with friction coefficient 0.2. Find (a) the optimum speed with no tyre friction and (b) the maximum permissible speed.

  Options

  • Option A

    28 m/s and 38.19 m/s

  • Option B

    20 m/s and 28 m/s

  • Option C

    38.19 m/s and 28 m/s

  • Option D

    14.7 m/s and 54 m/s

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• MCQeasyCircular MotionFriction in Circular Motion

  A bead is constrained to move on rod in gravity free space as shown in figure. The rod is rotating with angular velocity ω and angular acceleration α about its end. If µ is coefficient of friction. Mark the correct option. (Rod rotates in the plane of paper)

  

  Options

  • Option A

    If µ=ω²/α, friction on the bead is static in nature

  • Option B

    If µ>ω²/α, friction on the bead is kinetic in nature

  • Option C

    If µ<ω²/α, friction is static

  • Option D

    If the bead does not slide relative to the rod, friction is zero

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• NumericmediumCircular MotionFriction in Circular Motion

  A motorcyclist rides horizontally on the vertical wall of a cylindrical well of radius 5 m at speed 5√5 m/s. Find the minimum friction coefficient. Take g=10 m/s².

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• NumericmediumCircular MotionFriction in Circular Motion

  You are shown a photo of a car driven on a vertical inside wall of a huge cylinder with a radius of 50 m. The coefficient of static friction between the car tires and the cylinder is ms = 0.8. The minimum speed in (m/s), at which the car can be driven like that is 5x. Find x.

  

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• MCQmediumCircular MotionFriction in Circular Motion

  For a banked circular road of radius r, banking angle θ and coefficient of friction μ, the maximum safe speed is given by:

  Options

  • Option A

    $v_max²$ = rg(sinθ + μcosθ)/(cosθ - μsinθ)

  • Option B

    $v_max²$ = rg(sinθ - μcosθ)/(cosθ + μsinθ)

  • Option C

    $v_max²$ = rg tanθ

  • Option D

    $v_max²$ = μrg

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