- #1
freshcoast
- 185
- 1
Homework Statement
Homework Equations
http://en.wikipedia.org/wiki/Simple_harmonic_motion
The Attempt at a Solution
part a) frequency of oscillation can be found on the graph, to find frequency I need to find the period (T) first, the period is when the object is back to it's initial conditions. Knowing this I looked at the points from 0s - 0.9s because it took 0.9 seconds for the object to displace and return to it's original position.
$$ freq = 1 / T $$
part b) since I've found the frequency I can use the equation
$$ freq = 1/2pi * sqrt(k/m) $$
$$ k = (2*pi*freq)^2 * m $$
part c) I'm having trouble figuring this out, I know linear momentum is p = mv, I'm thinking I am able to find V by using the equation V = R[itex]\omega[/itex], but I don't know what the R would be? would be just the amplitude? or is there another way to go about this question?
part d) maximum force would equal to F = -kx , since I have found out the k in part b, I just plug that value in and use the amplitude for x, which is 0.12m.
part e) use the kinetic energy equation for springs?
with x = 0.06m
[tex] 1/2kx2 [/tex]