Question

A particle executes SHM along the x-axis, its displacement varies with the time according to the equation: x(t) = 5.4 cos (6πt + π/4), where x(t) in metre and t is in second. Determine the amplitude, frequency, period and initial phase of the motion.

Answer 1

Determine the amplitude, frequency, period and initial phase of the motion. 

x(t) = 5.4 cos (6πt + π/4) 

A = 5.4 m 

n = 3 Hz 

T = 0.333 s 

Initial phase = Φ = π/4