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A horizontal spring is attached to a stationary wall on one end and to a 3 kg mass on the other end. The spring constant for the spring is 75 N/m, and there is no damping. At time zero, the spring is at its equilibrium position and the mass is pushed towards the wall with an initial velocity of 10 m/s. The mass is then allowed to move freely. The following spring equation describes the motion of the mass:
mx'' + cx' + kx = f(t)
(a) What is the maximum distance from its equilibrium position that the mass will reach? (b) At what time does the mass first reach its maximum distance from the wall? You may leave your answer in terms of ω.
Sagot :
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