Constraint Motion & Connected Bodies questions with solutions

Showing 1–10 of 69 questions

• MCQmediumNewtons law of motion and FrictionConstraint Motion & Connected Bodies

  A movable pulley translates rightward with speed u while one end of the string is fixed and the other is attached to a block. The block speed is:

  

  Options

  • Option A

    u

  • Option B

    2u

  • Option C

    3u

  • Option D

    2.5u

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• MCQmediumNewtons law of motion and FrictionConstraint Motion & Connected Bodies

  In the smooth pulley arrangement shown, block A has mass 2m and block B mass 4m. A horizontal force F acts on A. The acceleration of block B is:

  

  Options

  • Option A

    F/(7m)

  • Option B

    2F/(17m)

  • Option C

    3F/(17m)

  • Option D

    F/(3m)

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• MCQmediumNewtons law of motion and FrictionConstraint Motion & Connected Bodies

  A block of mass m slides on a smooth prism of mass M and inclination α. The prism is free to move on a smooth horizontal floor. The acceleration of the block relative to the prism down the incline is:

  

  Options

  • Option A

    (M+m)g sinα/(M+m sin²α)

  • Option B

    mg sinα cosα/(M+m sin²α)

  • Option C

    g sinα

  • Option D

    (M+m)g cosα/(M+m sin²α)

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• NumericdifficultNewtons law of motion and FrictionConstraint Motion & Connected Bodies

  In the multi-pulley arrangement shown, the indicated velocities are A upward 8 m s⁻¹, B downward 2 m s⁻¹, C upward 2 m s⁻¹, D downward 1 m s⁻¹ and the free end F moves right at 4 m s⁻¹. Find the speed of block E in m s⁻¹.

  

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• NumericdifficultNewtons law of motion and FrictionConstraint Motion & Connected Bodies

  In the pulley system shown, cable ends A and B each move outward with speed 2 m s⁻¹. Find the upward velocity of the load m in m s⁻¹.

  

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• MCQmediumNewtons law of motion and FrictionConstraint Motion & Connected Bodies

  Two spheres A and B of radii 10 m and 5 m move while maintaining contact between two fixed inclined walls at 60° and 30°. If sphere A has speed 9 m s⁻¹, the speed of B is:

  

  Options

  • Option A

    9 m s⁻¹

  • Option B

    12 m s⁻¹

  • Option C

    (9×5/4) m s⁻¹

  • Option D

    None

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• MCQmediumNewtons law of motion and FrictionConstraint Motion & Connected Bodies

  In the pulley arrangement shown, block A moves downward at 5 m s⁻¹ and block B moves upward at 2 m s⁻¹. Find the velocity of block C.

  

  Options

  • Option A

    1 m s⁻¹ upward

  • Option B

    2 m s⁻¹ upward

  • Option C

    3 m s⁻¹ upward

  • Option D

    4 m s⁻¹ upward

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• MCQmediumNewtons law of motion and FrictionConstraint Motion & Connected Bodies

  A block is dragged on a smooth plane by a rope passing over a pulley that moves horizontally with speed v. The string makes angle θ with vertical at the block. The horizontal speed of the block is:

  

  Options

  • Option A

    v

  • Option B

    v/sinθ

  • Option C

    v sinθ

  • Option D

    v/cosθ

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• MCQmediumNewtons law of motion and FrictionConstraint Motion & Connected Bodies

  In the nested-pulley arrangement shown, accelerations of masses m₁,m₂,m₃,m₄ are a₁,a₂,a₃,a₄. Which constraint relation is correct?

  

  Options

  • Option A

    4a₁+2a₂+a₃+a₄=0

  • Option B

    a₁+4a₂+3a₃+a₄=0

  • Option C

    a₁+4a₂+3a₃+2a₄=0

  • Option D

    2a₁+2a₂+3a₃+a₄=0

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• MCQmediumNewtons law of motion and FrictionConstraint Motion & Connected Bodies

  Masses M=100 kg, m₁=10 kg and m₂=20 kg are arranged as shown with smooth surfaces and ideal pulley/string. A force F makes m₂ move upward with acceleration 2 m s⁻². Take g=10 m s⁻². F is:

  

  Options

  • Option A

    3360 N

  • Option B

    3380 N

  • Option C

    3120 N

  • Option D

    3240 N

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