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(a) A particle is subjected to two simpl...

(a) A particle is subjected to two simple harmonic motions
`x_1=A_1sin omegat` and `x_2=A_2 sin (omegat+pi//3)`.
Find (i) the displacement at `t=0`, (ii) the maximum speed of the particle and (iii) the maximum acceleration of the particle.
(b) 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
`xy=x_0sinomegat` and `s=s_0sin omegat`
Find the amplitude of the resultant motion.

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