A steel ball weighing W = 32 lb is suspended by a spring which is stretched s = 8 ft by the weight. If, at a time t=0, the ball is displaced 0.5 ft below its equilibrium position and
please. (Note that W =mg = ks ) i) What is the differential equation describing the free motion of the system?
(Assume that friction may be neglected and take g= 32 ft/sec)
ii) What will the position of the ball be at time t seconds?
iii) What kind of solution do you expect for the given problem if the forcing function of the form f(1) = sin 21 is applied to the system? Discuss the solution.
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