A particle is subjected to two simple harmonic motions, one along the X-axis and the other on a line making an angle of 45o with the X-axis. The two motions are given by

x = x0 sin ωt and s = s0 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