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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
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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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