1.

The function sin2 (ωt) represents (a) a simple harmonic motion with a period π/ω (b) a simple harmonic motion with a period 2π/ω (c) a periodic, but not simple harmonic motion with a period π/ω (d) a periodic, but not simple harmonic motion with a period 2π/ω

Answer»

(a) a simple harmonic motion with a period π/ω

sin2ωt = \(\frac{1}{2}\)(1 - cos 2ωt)

This is an SHM with period \(\frac{2π}{2ω}= \frac{π}{ω}\)

Its equilibrium position is at \(\frac{1}{2}\) Instead of zero.



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