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Period, frequency or amplitude from the velocities at two displacements

This type of question, asked 5 times: May 2021 S1, 9 May 2023 S2, 10 May 2023 S2, 16 May 2023 S1, 19 Apr 2026 S2. All 5 questions below, oldest first.

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  1. Question 1

    May 2021 S1

    11
    A particle executing SHM has velocities v1v_1 and v2v_2 at distances x1x_1 and x2x_2 respectively from the mean position. Its time-period is

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  2. Question 2

    9 May 2023 S2

    26
    A particle is executing a linear simple harmonic motion. Let 'V1_1' and 'V2_2' are its speed at distance 'x1_1' and 'x2_2' from the equilibrium position. The amplitude of oscillation is

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  3. Question 3

    10 May 2023 S2

    15
    A particle performs linear S.H.M. When the displacement of the particle from mean position is 3 cm and 4 cm, corresponding velocities are 8 cm/s and 6 cm/s respectively. Its periodic time is

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  4. Question 4

    16 May 2023 S1

    13
    A particle executing S.H.M. has velocities 'V1V_1' and 'V2V_2' at distances 'x1x_1' and 'x2x_2' respectively, from the mean position. Its frequency is

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  5. Question 5

    19 Apr 2026 S2

    119
    A particle executing linear S.H.M. has velocities V1V_1 and V2V_2 at distance x1x_1 and x2x_2 respectively, from the mean position, its angular velocity is

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