Practice portal › Oscillations › Energy in SHM
Asked in NEET 2021 · Kinetic, potential and total energy
Given: displacement x=A sin ω t with frequency n=ω/(2π).
Idea: the potential energy depends on x², and squaring a sinusoid doubles its frequency.
U=1/2 kx²=1/2 kA² sin²ω t
sin²ω t=(1-cos 2ω t)/2
The only time-varying term has angular frequency 2ω, so the frequency of U is 2n.
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