For a particle simple harmonic motion determine the ratio of avarage acceleration of particle from external position to equilibruim position to the maximum acceleration

Options

A. `(4)/(pi)`
B. `(2)/(pi)`
C. `(1)/(pi)`
D. `(1)/(2pi)`

Answer

B

Explanation

Let the equation of simple harmonic motion be
`x = A sin omega t`
Then , the required ratio is `(int_(0)^(2//4) omega^(2)A sin omega t dt)/((T)/(4) xx omega^(2) A)= (2)/(pi)`