Problem of Springs

1. Dec 8, 2003

bard

A particle has displacment given by$$x=3.0\cos(5\pi t+\pi)$$ where x is in meters and t in seconds

A)What are the frequency ,F, and the period,T, of motion
B)What is the greatest distance the particle travels from equlibrium
c)Where is the particle at time t=0?t=0.5(s)
D)What is the velocity when t=0.5s

A)F=2.5, T=0.4
B)3.0M
c)3.0M
d)no idea

thank you

2. Dec 8, 2003

himanshu121

Apply the formula for velocity i.e dy/dx

3. Dec 8, 2003

bard

I have no idea what you are talking about? are my other answers correct?

4. Dec 8, 2003

himanshu121

Others are correct i thought you need to calculate the velocity
dont u

5. Dec 8, 2003

bard

yes i need to calculuate velocity, but i dont know how to get it.

6. Dec 8, 2003

himanshu121

Look you got the displacement, Pls tell yourself what is the relation between displacement and velocity

7. Dec 8, 2003

bard

ok so i have to take the derivative

$$x=3.0\cos(5\pi t+\pi)$$

so the derivative of that would be

$$3.0*-\sin(5\pi(0.5)+\pi)*d/dx(5\pi(0.5)+\pi$$

8. Dec 8, 2003

himanshu121

Yes You got it right

9. Dec 8, 2003

bard

yes but i get v=0 when i do the derivative. is this correct?

thnx for ur help

10. Dec 8, 2003

himanshu121

Sorry U didn't write correctly
it should be
$$3.0*-\sin(5\pi(0.5)+\pi)*d/dt(5\pi(0.5)t+\pi$$

I want to correct myself
the velocity is time derivative
i.e v = dx/dt.

i just wanted to point towards the calculus involved

11. Dec 8, 2003

bard

thnx a lot man