The motion of a particle is given `x = A sin omega t + B cos omega t` The motion of the particle is

Options

A. Not simple harmonic
B. Simple harmonic with amplitude A + B
C. Simple harmonic with amplitude `((A + B))/(2)`
D. Simple harmonic with amplitude `sqrt(A^(2) + B^(2))`

Answer

D

Explanation

`a_(1) = A, a_(2) = B, phi = 90^(@), a_(R) = sqrt(A^(2) + B^(2))`