At what distance from the mean position is the kinetic energy of a particle performing S.H.M. of amplitude 8 cm, three times its potential energy? Data: A = 8 cm, KE = 3 PE KE = `1/2`k(A2 − x2) and PE = `1/2`kx2 Given, KE = 3PE. ∴ `1/2`k(A2 − x2) = `3(1/2"kx"^2)` ∴ A2 − x2 = 3x2 ∴ 4x2 = A2 ∴ the required displacement is x = `±"A"/2=±8/2` = `±` 4 cm Concept: Amplitude (A), Period (T) and Frequency (N) of S.H.M. Is there an error in this question or solution? |