56_Dynamics 11ed Manual

56_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 12 z c 2 t 1 2 dt 1 + = z 14 m = * Problem 12-68 A particle is traveling with a velocity of v at e bt i ce 2 j + = . Determine the magnitude of the particle s displacement from t = 0 to t 1 . Use Simpson s rule with n steps to evaluate the integrals. What is the magnitude of the particle s acceleration when t = t 2 ? Given: a 3 m s 3 2 = b 0.2 1 s = c 4 m s = d 0.8 1 s 2 = t 1 3s = t 2 2s = n 100 = Displacement x 1 0 t 1 t e d = x 1 7.34 m = y 1 0 t 1 t 2 d = y 1 3.96 m = d 1 x 1 2 y 1 2 + = d 1 8.34 m = Acceleration a x t e () d d = a 2 t e b t ab t e + = a x2 a t 2 e 2 1 2 2 + = a y t 2 d d = 2 cdte 2 = a y2 2 cdt 2 e 2 2 = a x2 0.14 m s 2 = a y2 0.52 m s 2 = a 2 a x2 2 a y2 2 + = a 2 0.541 m s 2 = Problem 12-69
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