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Question
State the expression for the total energy of SHM in terms of acceleration.
Short/Brief Note
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Solution
The total energy of a particle of mass m performing SHM with angular frequency ω,
E = `1/2 mω^2A^2`
The maximum acceleration of the particle, amax = ω2A
∴ E = `1/2 mAa_(max)` is the required expression.
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Acceleration (a), Velocity (v) and Displacement (x) of S.H.M.
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