An object moves in simple harmonic motion described by the g

An object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in inches. Find a. the maximum displacement b. the frequency c. the time required for one cycle. d = -4 cos 3pi/4 a. in b. HZ c. s

Solution

since cosx lies between [-1,1], maximum displacement = -4(-1) = 4

frequency of cosx = 2pi

frequency of D --> 3pi/4 t = 2pi --> t = 8/3

time required for one cycle = 8/3

frequency = 1/t = 3/8