Question

Suppose that an object moves in simple harmonic motion with displacement d (in centimeters) at time t (in seconds). Determine the period and frequency of oscillation.d= 1/4 cos(1/4t +1/3) Select one: a. Period: 1/4 sec Frequency: 4 Hz b. Period: 1/ 8π sec Frequency: 8πHz c. Period: 8πsec Frequency: 1/8π Hz d. Period: 4sec Frequency:1/4 Hz

Answer 1

d = 1/4 cos(t/4 + θ) given

x = A cos (ω t + θ) standard equation for SHM

ω = 1/4 = 2 π f

f = ω / (2 π) = 1/4 / (2 π) = 1 / (8 π)

(C) is correct - Also, P = 1 / f = 8 π sec