A mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a distance of 1 inch, and then set in motion with a downward velocity of 2 ft/sec, find the position of the mass at any time t. Assume that there is no damping and the only force acting upwards is the spring's force (F = -k(Delta(x))). Delta(x) = change of position from equilibrium. Determine the frequency (W), period (T), amplitude (A) and phase of motion (P). The answer by the way is x = (sqrt(2) * .25)*sin(8*sqrt(2)*t) - (1/12*cos(8*sqrt(2)*t)) ft. Where W = 8*sqrt(2), T = sqrt(2)*(pi/4), A = sqrt(11/288) and P = pi - arctan(3/sqrt(2)). I just don't know how to get this. Thanks.
2007-08-03
15:50:16
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1 answers
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asked by
Charlie4590
2
in
Science & Mathematics
➔ Mathematics