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

(a) A particle is subjected to two SHMs of same time period in the same direction. If `A_1=6cm`, `A_2=8cm`, find the resultant amplitude if the phase difference between the motions is (a) `0^@`, (b) `60^@`, (c) `90^@` and (d) `120^@`.
(b) In the previous problem if `A_1=A_2=a` and resultant amplitude is also a, find phase difference between them.
(c) Three SHMs of equal amplitude A and equal time periods in the same direction combine. The phase of the second motion is `120^@` ahead of first and the phase of the third motion is `120^@` ahead of the second. Find the amplitude of the resultant motion.

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