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.

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 = 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

R=

=

1