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Maximum speed at the mean position from amplitude and angular frequency

This type of question, asked 5 times: May 2021 S1, 15 May 2023 S1, 16 May 2023 S2, 19 Apr 2026 S2, 14 May 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    May 2021 S1

    12
    A spring of force constant 400 N/m is loaded with a mass 0.25 kg. The amplitude of oscillations is 4 cm. When mass comes to equilibrium position, its velocity is

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  2. Question 2

    15 May 2023 S1

    46
    The maximum velocity of a particle, executing S.H.M. with an amplitude 7 mm is 4.44.4 ms−1^{-1}. The period of oscillation is π=227\pi = \frac{22}{7}

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  3. Question 3

    16 May 2023 S2

    34
    The kinetic energy of a particle executing simple harmonic motion is 16 J when it is in mean position. If amplitude of motion is 25 cm and the mass of the particle is 5.12 kg, the period of oscillation is

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  4. Question 4

    19 Apr 2026 S2

    118
    A spring force constant 180180 N/m is loaded with a mass 0.20.2 kg. The amplitude of oscillations is 44 cm. When mass comes to equilibrium position, its velocity is

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  5. Question 5

    14 May 2026 S1

    120
    The path length of oscillation of simple pendulum of 11 m is 88 cm. Its maximum velocity is (Take g=π2 m/s2g = \pi^2\ \mathrm{m/s^2})

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