1.

The periodic time of a linear harmonic oscillator is 2π seconds, with maximum displacement of 1 cm. If the particle starts from an extreme position, find the displacement of the particle after π/3 seconds.

Answer»

Data : T = 2π s, A = 1 cm, t = π/3

ω = \(\frac{2\pi}T\) = \(\frac{2\pi}{2\pi}\) = 1 rad/s

x = A cos ωt (∵ particle starts from extreme position)

= (1) cos \((1\times\frac{\pi}3)\) = cos \((1\times\frac{\pi}3)\) = cos \(\frac{\pi}3\) = \(\frac{1}2\) cm



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