Question

You pulled a 2.0 kg mass attached to a horizontal spring by 20 N moving it by .10 m away from the equilibrium position. You then let go of the mass to make it oscillate.

1. Determine k, A, angular frequency and period of oscillation.
* For k, i used Kspring=mg/L; so k=196.2 N/m
* For angular frequency = sqrt(k/m); af=9.90 rad/s.
* For period of oscillation, I used T=2pi[sqrt(m/k)]

I can't get the amplitude. :(( Can anyone give me hints? Thanks!

Answer 1

T=0.63 s by the way, in case you would need it.

Answer 2

is the answer 0.1019 ?

Answer 3

I'm not sure, actually. I can't even find equations relating amplitude and anyof the given.

Answer 4

Use the relation F=kx

Answer 5

Oh yeah. That's possible. Thanks a bunch!

Answer 6

Oh, there's an additional question. At what distance from the equilibrium position will the object have a kinetic energy that is equal to its potential energy?

I used 1/2mv^2 = 1/2kx^2. However, I don't know what velocity to use.

Thanks!

Answer 7

If you release the system from rest at 0.10 m from the equilibrium position of the spring, then clearly the oscillations are all going to be A = 0.10 m.