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Ratio of amplitudes of equal masses on two springs with equal maximum velocities

The same question, asked 2 times: 4 May 2023 S1, 18 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    4 May 2023 S1

    47
    Two bodies A and B of equal mass are suspended from two separate massless springs of spring constants K1K_1 and K2K_2 respectively. The two bodies oscillate vertically such that their maximum velocities are equal. The ratio of the amplitude of B to that of A is

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  2. Question 2

    18 Apr 2026 S2

    119
    Two particles A and B of equal masses are suspended from two massless springs of spring constants KAK_A and KBK_B respectively. The maximum velocities of the particles during oscillations are equal. The ratio of the amplitude of 'B' to that of 'A' is

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