I need some step-by-step instruction for this problem?: The equation of motion for a weight suspended from a particular spring is:
p(t) = 8sin(2t) - 4cos(2t)
Where p is the displacement from the equilibrium position in centimeters and t is the time elapsed in seconds. How many times does the weight pass through the equilibrium position in the first 4 periods.

Question

I need some step-by-step instruction for this problem?:  The equation of motion for a weight suspended from a particular spring is:
p(t) = 8sin(2t) - 4cos(2t)
Where p is the displacement from the equilibrium position in centimeters and t is the time elapsed in seconds. How many times does the weight pass through the equilibrium position in the first 4 periods.

anonymous · Answer

set p(t) = 0 and solve for t during a 4 period