A mass weighing 64 pounds stretches a spring 0.32 foot. The mass is initially released from a point 8 inches above the equilibrium position with a downward velocity of 5 ft/s. (a) Find the equation of motion. (b) What are the amplitude and period of motion? (c) How many complete cycles will the mass have completed at the end of 3 seconds?
A mass weighing 64 pounds stretches a spring 0.32 foot.
The mass is initially released from a point 8 inches above the
equilibrium position with a downward velocity of 5 ft/s.
(a) Find the equation of motion.
(b) What are the amplitude and period of motion?
(c) How many complete cycles will the mass have completed
at the end of 3 seconds?
(d) At what time does the mass pass through the equilibrium
position heading downward for the second time?
(e) At what times does the mass attain its extreme
displacements on either side of the equilibrium position?
(f) What is the position of the mass at t 5 3 s?
(g) What is the instantaneous velocity at t 5 3 s?
(h) What is the acceleration at t 5 3 s?
(i) What is the instantaneous velocity at the times when the
mass passes through the equilibrium position?
(j) At what times is the mass 5 inches below the equilibrium
position?
(k) At what times is the mass 5 inches below the equilibrium
position heading in the upward direction?
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