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29 December, 05:13

An object of unknown mass m is hung from a vertical spring of unknown spring constant k, and the object is observed to be at rest when the spring has extended by 16 cm. the object is then given a slight push and executes shm. determine the period

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  1. 29 December, 05:37
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    From the formula

    F = kx

    F = k * 0.16

    We know that F = mg = m*9.8

    Therefore; kx = mg

    Thus, k/m = g/x

    Hence, k/m = 9.8 / 0.16 = 61.25

    But; ω = √ (k/m) = 2πf = 2π/t

    √ (k/m) = 7.8262

    Thus, T = 2π / 7.8262

    = 0.8024 seconds
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