Calculating Simple Harmonic Motion for a Mass on a Spring - Homework Example

[ibysaiyan]

1. Homework Statement [/b]
1)For a mass on a spring,using k=10N/m,m=1kg and amplitude =0.1m.calculate the following:
*The displacement 0.2s after release.
*The Time-period of oscillation.
*The max. Velocity.
*The max acceleration.

Homework Equations

x=Acos$$\varpi$$t (for displacement),maxvelocity=-A$$\varpi$$sin[tex]\varpi/tex]t

The Attempt at a Solution

well.. i am stuck at it right from the first bit..
do i first fill in the value of timeperiod =0.2 in the equation and isn't omega= 2pie/T
so I am kinda confused . =/
Thanks for helping me in advance ;) .

 

[Fightfish]

well.. i am stuck at it right from the first bit..
do i first fill in the value of timeperiod =0.2 in the equation and isn't omega= 2pie/T
so I am kinda confused . =/

The period that they are referring to here is the time taken for the oscillatory system to complete one oscillation cycle, and not the time elapsed. You will have to use a formula linking $$\omega$$ with the spring constant k and mass m of the spring-mass system.
$$\omega = \sqrt{\frac{k}{m}}$$
I strongly recommend that you look up a text or attempt to derive this relation yourself from the basic principles of the SHM system.
The rest of the question should naturally follow once this is cleared, I assume?

 

[kuruman]

So you have the equation x = A cos(ωt). Can you find values for A and ω based on the numbers that you have?

 

[ibysaiyan]

Thanks a lot FighFish,kuruman. i will look forwad to it :), yea now i get it, what i was missing.. https://www.physicsforums.com/latex_images/23/2348362-1.png and yea.. its my first lesson on shm so yea i get it.. :)
Thanks again