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16 November, 11:47

A spring is stretched 175 mm by an 8-kg block. the block is displaced 100 mm downward from its equilibrium position and given a downward velocity of 1.50 m/s. assume that positive displacement y is downward.

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  1. 16 November, 12:32
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    Let spring K be constant

    K = F/x = mg/x = (8kg) (9.81 m/s) / 175 * 10⁻³m

    = 448.46 N/m

    The angular of spring's frequency is

    w = √k/√m = √448.46/√8 = 7.49 rad/s

    ∴ differential equation

    y¹¹ + (7.49) ²

    y = 0

    y¹¹ ₊ 56.1

    where y = 0.
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