Question

The displacement of a particle is represented by the equation `y=3cos((pi)/(4)-2omegat).`
The motion of the particle is
A. simple harmonic with period `(2pi)/(omega)`
B. simple harmonic with period `(2pi)/(omega)`
C. periodic but not simplee harmonic
D. non-periodic.

Answer 1

Correct Answer - B
Given: `y=3cos((pi)/(4)-2omegat)`
`y=3cos[-(2omegat-(pi)/(4))]=3cos(2omegat-(pi)/(4))" "[becausecos(-theta)=costheta]`
It represents simple harmonic motion with time period `T=(2pi)/(2omega)=(pi)/(omega)`.