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Problem 3.7 A particle of mass m is initially at rest at x = 0. It is acted upon by a force F = A cosh Bt. (a) Determine the velocity and position of the particle at time t. Fo (b) Show that at very small values of t, the position is approximately given by x(t) = ½ ( m force at time t = 0. (et/B²). Fo 1 Fo (c) Show that for large values of t, the position is approximately given by x (t) = m = t2, where

Problem 3.7 A particle of mass m is initially at rest at x = 0. It is acted upon by a force F = A cosh Bt. (a) Determine the velocity and position of the particle at time t. Fo (b) Show that at very small values of t, the position is approximately given by x(t) = ½ ( m force at time t = 0. (et/B²). Fo 1 Fo (c) Show that for large values of t, the position is approximately given by x (t) = m = t2, where

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Problem 3.7 A particle of mass m is initially at rest at x = 0. It is acted upon by a force F = (a) Determine the velocity and position of the particle at time t. 1 (b) Show that at very small values of t, the position is approximately given by x(t) = A cosh Bt. Fo m = = force at time t = = 0. Fo (c) Show that for large values of t, the position is approximately given by x(t) = 1(e B¹/B²). t2, where
Transcribed Image Text:Problem 3.7 A particle of mass m is initially at rest at x = 0. It is acted upon by a force F = (a) Determine the velocity and position of the particle at time t. 1 (b) Show that at very small values of t, the position is approximately given by x(t) = A cosh Bt. Fo m = = force at time t = = 0. Fo (c) Show that for large values of t, the position is approximately given by x(t) = 1(e B¹/B²). t2, where
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