Pulley Systems & Applications questions with solutions

Showing 1–10 of 29 questions

• MCQmediumNewtons law of motion and FrictionPulley Systems & Applications

  A 10 kg trolley on a horizontal track is connected by a string over a pulley to a hanging 2 kg block. Coefficient of kinetic friction between trolley and track is 0.05; g=10 m s⁻². Find their acceleration.

  

  Options

  • Option A

    1.25 m s⁻²

  • Option B

    1.50 m s⁻²

  • Option C

    1.66 m s⁻²

  • Option D

    1.00 m s⁻²

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• MCQmediumNewtons law of motion and FrictionPulley Systems & Applications

  In the equilibrium system shown, block m₁=5 kg lies on a smooth incline and m₂=3 kg hangs. Find the force applied by the incline on block m₁.

  

  Options

  • Option A

    30 N

  • Option B

    50 N

  • Option C

    40 N

  • Option D

    60 N

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• MCQmediumNewtons law of motion and FrictionPulley Systems & Applications

  Block A of mass m₁ slides on a horizontal rough table (kinetic friction μₖ), connected via light string/pulley to hanging block B of mass m₂. Find tension T while A slides toward the pulley.

  Options

  • Option A

    m₁(m₂+μₖm₁)g/(m₁+m₂)

  • Option B

    (m₂-μₖm₁)g/(m₁+m₂)

  • Option C

    m₁m₂(1+μₖ)g/(m₁+m₂)

  • Option D

    m₁m₂(1-μₖ)g/(m₁+m₂)

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• IntegerdifficultNewtons law of motion and FrictionPulley Systems & Applications

  A uniform rope is 12 m long and has mass 16 kg. An 80 kg man slides down it at constant speed. Find the tension in the rope at a point 6 m from the top when the man is below that point. Take g=10 m s⁻².

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• MCQmediumNewtons law of motion and FrictionPulley Systems & Applications

  In the pulley system shown, masses are A=1 kg, B=3 kg and C=3 kg. The acceleration of A and tension in string AB are:

  

  Options

  • Option A

    g/4 downward, 8g/7

  • Option B

    g/4 upward, g/7

  • Option C

    g/7 downward, 6g/7

  • Option D

    g/2 upward, g

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• MCQeasyNewtons law of motion and FrictionPulley Systems & Applications

  Two masses 4 kg and 6 kg are attached to opposite ends of a light inextensible string passing over a frictionless pulley. Find acceleration as a fraction of g.

  

  Options

  • Option A

    g/2

  • Option B

    g/5

  • Option C

    g/10

  • Option D

    g

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• MCQmediumNewtons law of motion and FrictionPulley Systems & Applications

  Masses M₁ and M₂ lie on two smooth inclines α and β and are connected by a light string over a pulley. If M₂>M₁ and $\beta>\alpha$, acceleration of M₂ down its incline is:

  

  Options

  • Option A

    M₂g sinβ/(M₁+M₂)

  • Option B

    M₁g sinα/(M₁+M₂)

  • Option C

    [M₂sinβ-M₁sinα]g/(M₁+M₂)

  • Option D

    Zero

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• MCQmediumNewtons law of motion and FrictionPulley Systems & Applications

  Two masses m₁ and m₂ hang over a frictionless pulley. Their acceleration magnitude is:

  

  Options

  • Option A

    (m₁/m₂)g

  • Option B

    (m₂/m₁)g

  • Option C

    (m₂-m₁)g/(m₁+m₂)

  • Option D

    (m₁+m₂)g/(m₂-m₁)

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• MCQeasyNewtons law of motion and FrictionPulley Systems & Applications

  A light string passing over a smooth light fixed pulley connects two blocks of masses m₁ and m₂. If the acceleration of the system is g/8, then the ratio of masses is

  Options

  • Option A

    9/7

  • Option B

    8/1

  • Option C

    4/3

  • Option D

    5/3

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• MCQmediumNewtons law of motion and FrictionPulley Systems & Applications

  Three masses m₁, m₂ and m₃ are connected in succession by massless strings on a frictionless table. If m₃ is pulled by force T, the tension in the string between m₂ and m₃ is:

  Options

  • Option A

    m₂T/(m₁+m₂+m₃)

  • Option B

    m₃T/(m₁+m₂+m₃)

  • Option C

    (m₁+m₂)T/(m₁+m₂+m₃)

  • Option D

    (m₂+m₃)T/(m₁+m₂+m₃)

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