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gotpho
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Homework Statement
A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then stretched an additional 1 inch and released. Find the equation of motion, the amplitude, and the period. Neglect friction.
Homework Equations
mx"+kx=0
The Attempt at a Solution
I understand that I need to set up a differential equation but I'm not quite sure if this is right.
K = 100 lb/ft m = 1 lb
thus plugging into the equation
x" + 100x = 0
use characteristic equation,
I get r= +/- 10i
y[tex]^{g}[/tex](t)= cos (10t) + sin (10t)So far is everything is alright?
When I tried to solve for period. I set the inside, 10t=2pi. At least that's how my professor does it but apparently it's wrong when I submit my answers online.
I'm also not understanding how the initial conditions work?