A simple harmonic motion is represented by y = 5[sin(3πt) + √3 cos(3πt)] cm. The amplitude and time period are:
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Question

A simple harmonic motion is represented by y = 5[sin(3πt) + √3 cos(3πt)] cm. The amplitude and time period are:

G1 Physics · Accepted Answer

y=5[sin3πt+√3 cos3πt] cm. Resultant amplitude=5√(1+3)=10 cm. Angular frequency=3π rad s⁻¹, so T=2π/(3π)=2/3 s. Correct option: 4.