Practice portal › Oscillations › Periodic Motion and the SHM Equation
Asked in JEE Main 2005 · Identifying SHM
sin²ω t=(1-cos 2ω t)/2, so the varying term has frequency 2ω and the period is (2π)/(2ω)=π/ω.
The constant 1/2 keeps the displacement from ever going negative, so this paper counts it as periodic but not simple harmonic.
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