Spring Force & Spring Systems questions with solutions

Showing 1–10 of 24 questions

• MCQmediumNewtons law of motion and FrictionSpring Force & Spring Systems

  A horizontal bar of mass m is supported by two identical vertical springs, each constant k. A mass m hangs from the bar by a string. One spring is suddenly cut. The magnitude of change in string tension just after the cut is:

  

  Options

  • Option A

    mg/2

  • Option B

    mg/4

  • Option C

    3mg/4

  • Option D

    3mg/2

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• Multi-correctdifficultNewtons law of motion and FrictionSpring Force & Spring Systems

  In the shown system m₁>m₂. It is held at rest by thread BC. Just after thread BC is burnt, which statements are correct?

  

  Select all that apply

  • Option A

    m₂ accelerates upward

  • Option B

    Both blocks have acceleration magnitude (m₁-m₂)g/(m₁+m₂)

  • Option C

    m₁ has zero initial acceleration

  • Option D

    Both accelerations are nonzero and unequal

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• MCQmediumNewtons law of motion and FrictionSpring Force & Spring Systems

  A block A of mass m is attached to a spring and a block B of mass 2m through a pulley as shown. In one experiment A is held then released while B is in equilibrium; in another B is held then released while A is in equilibrium. If the initial acceleration magnitudes are a and b respectively, a/b is:

  

  Options

  • Option A

    0

  • Option B

    1/2

  • Option C

    2

  • Option D

    Undefined

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• MCQmediumNewtons law of motion and FrictionSpring Force & Spring Systems

  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 Force & Spring Systems

  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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• NumericmediumNewtons law of motion and FrictionSpring Force & Spring Systems

  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.

  Your answer

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• MCQmediumNewtons law of motion and FrictionSpring Force & Spring Systems

  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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• MCQmediumNewtons law of motion and FrictionSpring Force & Spring Systems

  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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• MCQmediumNewtons law of motion and FrictionSpring Force & Spring Systems

  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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• MCQmediumNewtons law of motion and FrictionSpring Force & Spring Systems

  Masses 10 kg and 20 kg are connected by a massless spring. A 200 N force pulls the 20 kg mass. At an instant the 10 kg mass has acceleration 12 m s⁻² to the right. The acceleration of the 20 kg mass is:

  

  Options

  • Option A

    2 m s⁻²

  • Option B

    4 m s⁻²

  • Option C

    10 m s⁻²

  • Option D

    20 m s⁻²

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