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Consider the translational mechanical system shown in the figure. A 1-pound force, f(t), is applied at t = 0. If fo = 1, find
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Answer #1

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Given that,

The figure shows translational mechanical system

1- pound force is f(t) is applied at t = 0

Mif(t) om Equation of motion for the above system. mx + 2+kx = $(t) Here, 8(t) is the unit impulse force so, Mź +*+kX8C+) >>Hexe, By compasting the above equations, 슦 wn = A -o 합에 치 We KeW, To w and Tp = 1 의 부 1 ㅛ 뽮 CI & wh Hesus. Ji-F2 ER - - 기 국적들. - So.com $=0.303 Herex, то Wn = 4 0-303x4 who 3.3 rolls ... Wn = K = 3.3 godis 1910.89 - we know, et Here, tve= coritical dM² = 2.7 10.89 -0.2479 M =50.2.479 M = 0.5kg substitute M value in ea KX0.5 - 2.7 K 2.7 0.5 K = 5.4 Nlm Percentage overshoot

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