spring related problem questions with solutions

Showing 1–10 of 24 questions

• MCQmediumNewtons law of motion and Frictionspring related problem

  A block is held between two vertical springs and is in equilibrium. If the upper spring is cut, its initial acceleration is 6 m s⁻² downward. If instead the lower spring is cut, the initial acceleration magnitude is:

  

  Options

  • Option A

    16 m s⁻²

  • Option B

    4 m s⁻²

  • Option C

    Cannot be determined

  • Option D

    None

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• MCQdifficultNewtons law of motion and Frictionspring related problem

  A 2M block attached to a spring k is connected through ideal pulleys to masses M and 2M as shown. The system is released from rest with the spring unstretched; maximum extension is x₀. Which statement is correct?

  

  Options

  • Option A

    x₀=4Mg/k

  • Option B

    At extension x₀/2 the speed is 3g√(M/5k)

  • Option C

    a₂-a₁=a₁-a₃

  • Option D

    At extension x₀/4 the block acceleration magnitude is 3g/10

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• MCQmediumNewtons law of motion and Frictionspring related problem

  Blocks A and B have masses 3m and m, joined by a massless string; the system hangs from a vertical spring as shown. Immediately after the string between them is cut, find magnitudes of accelerations of A and B.

  

  Options

  • Option A

    g, g/3

  • Option B

    g/3, g

  • Option C

    g, g

  • Option D

    g/3, g/3

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• IntegermediumNewtons law of motion and Frictionspring related problem

  A wire has lengths l₁ and l₂ under tensions 100 N and 120 N respectively. If 10l₂ = 11l₁ and the natural length is l₁/x, find x.

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• NumericmediumNewtons law of motion and Frictionspring related problem

  An elastic spring under tension of 3 N has a length a. Its length is b under tension 2 N. For its length (3a - 2b), the value of tension will be ______ N.

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  JEE Mains 2024 04 Apr Morning Shift

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• MCQmediumNewtons law of motion and Frictionspring related problem

  Two blocks A and B, each of mass m, hang vertically with a light spring between them and a string above A. The system is initially in equilibrium. Just after the upper string is cut, the acceleration of A is:

  

  Options

  • Option A

    g downward

  • Option B

    2g downward

  • Option C

    g upward

  • Option D

    Zero

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• Multi-correctdifficultNewtons law of motion and Frictionspring related problem

  Blocks 10 kg and 20 kg are connected by a light spring. A 200 N force pulls the 20 kg block; at an instant the 10 kg block acceleration is 12 m s⁻² right. Which statements are correct?

  

  Select all that apply

  • Option A

    20 kg acceleration is 12 m s⁻²

  • Option B

    20 kg acceleration is 4 m s⁻²

  • Option C

    Spring force is 120 N

  • Option D

    At maximum extension both move with common acceleration 30 m s⁻²

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• MCQmediumNewtons law of motion and Frictionspring related problem

  Blocks M₁ and M₂ are connected by a light spring on a smooth floor. A force F acts on M₁ and its instantaneous acceleration is a₁. The acceleration magnitude of M₂ is:

  

  Options

  • Option A

    F/M₂

  • Option B

    F/(M₁+M₂)

  • Option C

    a₁

  • Option D

    (F-M₁a₁)/M₂

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• MCQeasyNewtons law of motion and Frictionspring related problem

  A spring of force constant 15 N/m is cut into two pieces. If the ratio of their length is 1:3, then the force constant of smaller piece is____N/m

  Options

  • Option A

    15

  • Option B

    20

  • Option C

    60

  • Option D

    45

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  JEE Mains 202624 January Morning Shift

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• MCQmediumNewtons law of motion and Frictionspring related problem

  A 3 kg mass is connected by a spring to a 2 kg mass. A 10 N force acts on the 2 kg mass, whose acceleration at an instant is 2 m s⁻². The acceleration of the 3 kg mass at that instant is:

  

  Options

  • Option A

    3 m s⁻²

  • Option B

    2 m s⁻²

  • Option C

    0.5 m s⁻²

  • Option D

    Zero

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