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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. |
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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 |
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