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Question
In a simple harmonic motion
Options
the potential energy is always equal to the kinetic energy
the potential energy is never equal to the kinetic energy
the average potential energy in any time interval is equal to the average kinetic energy in that time interval
the average potential energy in one time period is equal to the average kinetic energy in this period.
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Solution
the average potential energy in one time period is equal to the average kinetic energy in this period.
The kinetic energy of the motion is given as,
\[\frac{1}{2}k A^2 \cos^2 \omega t\]
The potential energy is calculated as,
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