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Question
Define the following terms :
(a) Amplitude
(b) Frequency
(c) Time period.
Solution
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")`
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