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Derive an expression potential energy of a particle performing linear SHM |
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Answer» tion:(may this help you to understand) At the mean position, the total energy in SIMPLE harmonic motion is ________a) purely kinetic b) purely potential c) zero d) None of the aboveAnswer: a) purely kinetic. At the mean position, the velocity of the particle in S.H.M. is maximum and displacement is MINIMUM, that is, x=0. THEREFORE, P.E. =1/2 K X2 = 0 and K.E. = 1/2 k ( a2 – x2) = 1/2 k ( a2 – O2) = 1/2 ka2. Thus, the total energy in simple harmonic motion is purely kinetic. |
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