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Period when two forces act together, from the periods under each force alone

The same question, asked 2 times: 13 May 2024 S2, 13 May 2026 S1. Every wording below, oldest first.

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  1. Question 1

    13 May 2024 S2

    31
    Under the influence of force 'F1F_1' the body oscillates with a period 'T1T_1' and due to another force 'F2F_2' body oscillates with period 'T2T_2'. If both forces acts simultaneously then the resultant period is (consider displacement is same in all three cases)

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  2. Question 2

    13 May 2026 S1

    120
    A body has time period T1T_1 under the action of one force and T2T_2 under the action of another force. The square of the time period when both the forces are acting in the same direction is

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