Question

Define the following terms :
(a) Amplitude
(b) Frequency
(c) Time period.

Answer 1

Amplitude: The amplitude of particle executing S.H.M. is its maximum displacement on either side of the mean position.  A is the amplitude of the particle.

Frequency: The frequency of a particle executing S.H.M. is equal to the number of oscillations completed in one second. 

v = `omega/(2pi) = 1/(2pi) sqrt("k"/"m")`

Time Period: Time period of a particle executing S.H.M. is the time taken to complete one cycle and is denoted by T.

Time period (T) = `(2pi)/omega`

`= 2pi sqrt("m"/"k")  "as"  omega = sqrt("m"/"k")`