A particle is subjected to two simple harmonic motions along x and y directions according to, x = 3 sin 100 π t ; y = 4 sin 100 π t .

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x = 3 sin ( 100 π t ) , y = 4 sin ( 100 π t ) ⇒ y = 3 4 ​ x ⇒ Motion of particle will be on a straight line with slope 4/3. As r = x 2 + y 2 ​ = 5 sin ( 100 π t ) so motion of particle will be SHM with amplitude 5.

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JEE Main + Advanced (1 year 12th class)