InterviewSolution
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InterviewSolution
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A particle is subjected to two simple harmonic motions, one along the X-axis and the other on a line making an angle of `45^@` with the X-axis. The two motions are given by `x=x_0 sinomegat` and `s=s_0 sin omegat`. find the amplitude of the resultant motion. |
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Answer» Correct Answer - A::B The particle is subjected to two simple harmonic motions represented by `x=x_0sin2t` `s=s_0sinwt` and angle between two motion `theta=45^@` Resultant motions will be given by `R=sqrt(x^2+s^2+2xs.cos45^@)` `=sqrt({x_0^2sin^2 wt+s_0^2sin^2wt+2x_0s_0sin^2omegat)1/sqrt2)})` `=[x_0^2+s_0^2+sqrt(2x_0s_0)]^(1/2) sin omegat` Resultant amplitude `[x_0^2+s_0^2+sqrt(2x_0s_0)]^(1/2)` |
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