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Feodalherren
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Homework Statement
A mass of 10 kg is hanging from a spring with k=2500N/m that is attached to a roof (see pic).
The length of the spring when it is not in tension is l0=0.5 m.
At the time t=0, the mass has a speed of v0=0.5 m/s when it passes the system's equilibrium position.
Determine
a) The equilibrium position
b) The natural frequency, fn
c) The period, T
d) The position of the mass as a function of time, t, measured from the roof - draw an approximate graph.
Homework Equations
F=ma
Undamped motion
Wn^2 = k/m
fn=Wn/2pi
T=1/fn
x''+(Wn^2)x=C
x(t)=Acos(Wn t) + Bsin(Wn t) + c/(Wn^2)
The Attempt at a Solution
I think I did this correctly. In part b I'm not really sure how to deal with the fact that the formula seems to be giving me Wn^2 = - k/m , but I just took the absolute value.
I have no idea why the images keep being uploaded sideways. Incredibly annoying but I can't seem to fix it.
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