friction and single block problem questions with solutions

Showing 1–10 of 73 questions

• MCQmediumNewtons law of motion and Frictionfriction and single block problem

  A uniform rope is placed over a triangular wedge whose base angle is 37°. The maximum hanging length in one limiting equilibrium configuration is x₁ and the minimum hanging length in the other is x₂. If x₁/x₂ = 3, find the coefficient of friction between rope and wedge.

  

  Options

  • Option A

    0.5

  • Option B

    0.4

  • Option C

    0.6

  • Option D

    0.8

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• IntegermediumNewtons law of motion and Frictionfriction and single block problem

  A bead slides down a vertical rod fixed inside a train accelerating horizontally at 4 m s⁻². The rod length is 1 m and μ = 1/2. If the time to reach the bottom is n/2 s, find n. Take g = 10 m s⁻².

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• MCQmediumNewtons law of motion and Frictionfriction and single block problem

  A 100 kg block B rests on a rough horizontal surface with μ = 1/3. A rope passes over a pulley and is climbed by a 25 kg boy A as shown. Find the maximum upward acceleration of the boy for which block B does not move.

  

  Options

  • Option A

    4g/3

  • Option B

    g/3

  • Option C

    g/2

  • Option D

    3g/4

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• MCQdifficultNewtons law of motion and Frictionfriction and single block problem

  A block of mass m slides on a rough horizontal surface with coefficient of kinetic friction μ. A force F is applied at angle θ below the horizontal. Its acceleration is:

  Options

  • Option A

    [F cosθ - μ(mg - F sinθ)]/m

  • Option B

    [F cosθ - μ(mg + F sinθ)]/m

  • Option C

    (F - μmg)/m

  • Option D

    (F sinθ - μmg)/m

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• MCQdifficultNewtons law of motion and Frictionfriction and single block problem

  A 2 kg block is on a smooth incline of angle 37° which rises towards the right. A horizontal force F towards the right is applied so that the block remains at rest. Take g = 10 m/s², sin37° = 3/5 and cos37° = 4/5. F is:

  Options

  • Option A

    10 N

  • Option B

    15 N

  • Option C

    20 N

  • Option D

    25 N

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• MCQmediumNewtons law of motion and Frictionfriction and single block problem

  Block A is placed on a rough wedge B of inclination 53°. The wedge is on a smooth surface and is accelerated horizontally to the right with acceleration g. Block A is given an initial velocity relative to the wedge. Find the coefficient of friction for which A moves with constant velocity relative to the wedge.

  

  Options

  • Option A

    2/3

  • Option B

    3/7

  • Option C

    1/7

  • Option D

    1/3

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• MCQmediumNewtons law of motion and Frictionfriction and single block problem

  A block of mass m is placed on a surface whose vertical cross-section is y = x³/6. If the coefficient of friction is 0.5, the maximum height above the ground at which the block can be placed without slipping is:

  Options

  • Option A

    1/3 m

  • Option B

    1/2 m

  • Option C

    1/6 m

  • Option D

    2/3 m

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• Multi-correctmediumNewtons law of motion and Frictionfriction and single block problem

  A horse pulls a cart on a rough surface. Taking (horse + cart) as one system, which statements are correct?

  

  Select all that apply

  • Option A

    Force by horse on cart is internal.

  • Option B

    Force by ground on horse is external.

  • Option C

    Force by cart on horse is internal.

  • Option D

    Force by ground on cart is external.

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• MCQeasyNewtons law of motion and Frictionfriction and single block problem

  A block moves to the right on a rough horizontal surface under a horizontal force F. Later another force P is applied as shown, making an angle θ with the vertical such that tanθ = μ. After applying P, the acceleration of the block will:

  

  Options

  • Option A

    increase

  • Option B

    decrease

  • Option C

    remain same

  • Option D

    cannot be determined

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• IntegermediumNewtons law of motion and Frictionfriction and single block problem

  Two equal-mass blocks A and B are released simultaneously on the same rough 45° incline. Their coefficients of kinetic friction are 0.2 and 0.3, and A starts √2 m behind B. Find the time in seconds for A to catch B. Take g = 10 m s⁻².

  

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