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58

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^{o} with the X-axis. The two motions are given by

x = x_{0} sin ωt and s = s_{0} sin ωt

Find the amplitude of the resultant motion.

GIVEN X = Sinωt , S = Sinωt and angle θ = ϖ/4

Amplitude of resultant motion will be

R=

=

1