1.

The equation of a simple harmonic motion is given by x = 6 sin 10 t+ 8 cos10 t, where x is incm, and t is in seconds. Find the resultant amplitude.

Answer»

y = 6 sin10 t + 8 cos10 t

Let 6 = R sin theta8 = R cos theta

y = R sin theta.sin 10 t + R cos theta. cos10 t

y = R sin(10 t + theta)

Where R is the amplitude of wave and theta is initial phase.

R^2 = (6)^2 + (8)^2 R^2 = 36 + 64R = sqrt(100)R = 10



Discussion

No Comment Found

Related InterviewSolutions