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Maximum speed or maximum force from the amplitude and period or force constant

This type of question, asked 3 times: 29 Jan 2023, 10 Apr 2023, 6 Apr 2024. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    29 Jan 2023

    113
    A particle of mass 250 g250\text{ }g executes a simple harmonic motion under a periodic force F=(−25x)NF = ( - 25x)N. The particle attains a maximum speed of 4 m/s4\text{ }m/s during its oscillation. The amplitude of the motion is____ cmcm.

  2. Question 2

    10 Apr 2023

    112
    A rectangular block of mass 5 kg5\text{ }kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1 m1\text{ }m and time period 3.14 s3.14\text{ }s. The maximum force exerted by spring on block is___ NN.

  3. Question 3

    6 Apr 2024

    29
    A particle is doing simple harmonic motion of amplitude 0.06 m0.06\text{ }m and time period 3.14 s3.14\text{ }s. The maximum velocity of the particle is __ cm/scm/s.