Friction in Multiple-Block Systems questions with solutions

Showing 1–10 of 38 questions

• MCQmediumNewtons law of motion and FrictionFriction in Multiple-Block Systems

  Two blocks P and Q of masses 2 kg and 1.5 kg, respectively, are connected by a massless string passing over a frictionless pulley fixed at the upper edge of a cube S, as shown in the figure. Block P lies on the frictionless horizontal top surface of the cube, while block Q remains in contact with the vertical side surface, where the coefficient of friction is μ. The cube accelerates horizontally to the right with acceleration g/2. During this motion both P and Q remain stationary relative to the cube. Taking g = 10 m·s⁻², find μ.

  

  Options

  • Option A

    0.33

  • Option B

    0.67

  • Option C

    1.00

  • Option D

    0.50

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• MCQdifficultNewtons law of motion and FrictionFriction in Multiple-Block Systems

  Two blocks A and B, each of mass 2 kg, are in contact on a rough horizontal surface. Their coefficients of kinetic friction with ground are $\mu_{A}$ = 0.2 and $\mu_{B}$ = 0.4. A horizontal force 20 N is applied on A, pushing it towards B. Take g = 10 m/s². The contact force exerted by A on B is:

  Options

  • Option A

    4 N

  • Option B

    8 N

  • Option C

    10 N

  • Option D

    12 N

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• MCQdifficultNewtons law of motion and FrictionFriction in Multiple-Block Systems

  A block of mass m is placed on a block of mass 2m. The lower block rests on a smooth floor. Coefficient of static friction between blocks is μ. A horizontal force F is applied to the upper block. The friction required to make the blocks move together is 4μmg/3. Which statement is correct?

  Options

  • Option A

    The blocks can move together because 4μmg/3 < μmg

  • Option B

    The blocks can move together only if F = μmg

  • Option C

    The blocks must slip because required friction exceeds limiting friction μmg

  • Option D

    Friction becomes zero

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• IntegermediumNewtons law of motion and FrictionFriction in Multiple-Block Systems

  A 4 kg boy stands on a 5 kg wooden block. The coefficient of friction between wood and floor is 0.5. Using the shown pulley-rope arrangement, find the maximum force the boy can exert on the rope without moving the wood. Take g = 10 m s⁻².

  

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• MCQdifficultNewtons law of motion and FrictionFriction in Multiple-Block Systems

  A 2 kg block A is placed on a 5 kg block B. Ground is smooth. A force 12 N acts towards right on A and a force 20 N acts towards right on B. Static friction is sufficient to prevent slipping. Friction on A is:

  Options

  • Option A

    0.57 N towards left

  • Option B

    2.86 N towards left

  • Option C

    2.86 N towards right

  • Option D

    4 N towards left

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• MCQmediumNewtons law of motion and FrictionFriction in Multiple-Block Systems

  Two blocks of 2 kg and 4 kg are in contact as shown. The coefficient of friction between them is μ = 1/2. Forces F₁ = 2 N and F₂ = 20 N act in opposite directions. Find the friction force between the blocks.

  

  Options

  • Option A

    8 N

  • Option B

    10 N

  • Option C

    6 N

  • Option D

    4 N

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• MCQmediumNewtons law of motion and FrictionFriction in Multiple-Block Systems

  Two blocks of masses 1 kg and 2 kg are in contact on a 60° rough incline. Their coefficients of friction with the plane are μ₁ = 0.5 and μ₂ = 0.4. Which statement is correct?

  

  Options

  • Option A

    Both blocks move together.

  • Option B

    Both blocks move separately.

  • Option C

    There is a non-zero contact force between the blocks.

  • Option D

    None of these.

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• MCQdifficultNewtons law of motion and FrictionFriction in Multiple-Block Systems

  A 2 kg block is placed on a 3 kg block. Ground is smooth and coefficient of static friction between them is 0.2. A horizontal force F is applied on the upper 2 kg block. Take g = 10 m/s². Maximum F for which both blocks move together is:

  Options

  • Option A

    4 N

  • Option B

    6.67 N

  • Option C

    10 N

  • Option D

    16.67 N

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• MCQdifficultNewtons law of motion and FrictionFriction in Multiple-Block Systems

  A 2 kg block A is placed on a 5 kg block B. The ground is smooth and coefficient of static friction between A and B is 0.4. A horizontal force F is applied on B. Take g = 10 m/s². The maximum value of F for which there is no slipping is:

  Options

  • Option A

    14 N

  • Option B

    20 N

  • Option C

    28 N

  • Option D

    35 N

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• MCQmediumNewtons law of motion and FrictionFriction in Multiple-Block Systems

  Consider the block and trolley system shown in the figure. If the coefficient of kinetic friction between the trolley and the surface is 0.04, the acceleration of the system in m s⁻² is: [The string is massless and unstretchable; the pulley is massless and frictionless.]

  

  Options

  • Option A

    3

  • Option B

    4

  • Option C

    2

  • Option D

    1.2

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