1.

The displacement of a particle performing linear SHM is given by x = 6 sin (3πt +\(\frac{5\pi}6\)) metre. Find the amplitude, frequency and the phase constant of the motion.

Answer»

Data :  x = 6 sin (3πt +\(\frac{5\pi}6\)) metre Comparing this equation with x = A sin (ωt + α), we get:

1. Amplitude, A = 6 m 

2. ω = 3π rad / s 

∴ Frequency, f = \(\frac{\omega}{2\pi}\) = \(\frac{3\pi}{2\pi}\)= 1.5 Hz 5% 

3. Phase constant, α = \(\frac{5\pi}6\) rad



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