Write expression for simple harmonic motion with amplitude of 2.5 cm, angular frequency 5 l/s and maximum velocity at t = 0.

Question

Write expression for simple harmonic motion with amplitude of 2.5 cm, angular frequency 5 l/s and

maximum velocity at t = 0.

Answer 1

I'm going to assume the angular frequency is in units of 1/s or Hz.

Since maximum frequency occurs at t = 0, then this must be a sine function.

x(t) = 25sin[5(2π)t] = 25sin(10πt) where "x" is in cm and "t" is in sec