- #1

jisbon

- 476

- 30

- Homework Statement
- Object doing S.H.M , displacement ##D(t)=Asin(\omega t)##

where A is amplitude, ##\omega## is the angular frequency. Speed of object is v when displacement is half of the amplitude. Find speed in terms of v when displacement is 0

- Relevant Equations
- NIL

My workings:

##D(t) = Asin\omega t##

##v(t) = \frac{\text{dD}}{\text{dt}}=Acos(\omega t)\omega##

##v(t) =Acos(\omega t)\omega##

When displacement half of amplitude,

## Asin\omega t## = 0.5##A##

## sin\omega t## = 0.5

##v(t) =Acos(\omega t)\omega##

##v(t) =\omega (0.5Asin\omega t)cos \omega t ##

##v = \omega (0.5A*0.5)cos \omega t##

Pretty confused here on what I should do to proceed on. Any ideas?

##D(t) = Asin\omega t##

##v(t) = \frac{\text{dD}}{\text{dt}}=Acos(\omega t)\omega##

##v(t) =Acos(\omega t)\omega##

When displacement half of amplitude,

## Asin\omega t## = 0.5##A##

## sin\omega t## = 0.5

##v(t) =Acos(\omega t)\omega##

##v(t) =\omega (0.5Asin\omega t)cos \omega t ##

##v = \omega (0.5A*0.5)cos \omega t##

Pretty confused here on what I should do to proceed on. Any ideas?