The displacement of particle between maximum potential energy position and maximum kinetic energy position in simple harmonic motion:
Text Solution
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Potential energy is maximum at extreme positions and kinetic energy is maximum at mean position.
Expression of kinetic energy is
K = 
...(i)
Expression of potential energy is
U = 
...(ii)
where k = mꞷ 2
We observe that at mean position (y = 0), kinetic energy is maximum 
and potential energy is
minimum (zero). Also at extreme positions (y = ±a), kinetic energy is zero and potential energy is
maximum 
.Thus, displacement between positions of maximum potntial energy and maximum
kinetic energy is ±a.
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