Which of the following functionss represents a simple harmonic oscillation ?

Options

A. `sin omega t- cos omega t`
B. `sin^(2) omegat`
C. `sin omegat+sin2 omega t`
D. `sin omega t- sin 2 omega t`

Answer

A

Explanation

`y= sin omega t- cos omega t`
`(dy)/(dt)=omega cos omega t+ omega sin omega t`
`(dy)/(dt)=-omega^(2) sin omega t=omega^(2) cos omega t`
`=-omega^(2)(sin omega t- cos omega t)` ltbtgt `=-omega^(2)(sin omegat- cos omegat)`
`a=-omega^(2)y." "therefore a prop -y`. ltbtgt which is the condition of simple harmonic motion.