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Simple harmonic oscillation

by jmm21242
Tags: harmonic, oscillation, simple
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jmm21242
#1
Mar31-10, 08:14 PM
P: 2
1. The problem statement, all variables and given/known data
A block of mass 5 kg is attached to a spring of 2000N/m and compressed a distance of 0.6m. The spring is then released and oscillates.
a. what are the period, frequency, and angular frequency
b. what is the energy in this system
c. what is the maximum velocity


2. Relevant equations
period=1/frequency
d^2x/dt^2 + (k/m)x = 0
[tex]\omega[/tex]= (2*pi)*frequency= 2pi/period= sqrt(k/m)
E= 1/2mv^2 + 1/2kx^2= 1/2kA^2


3. The attempt at a solution
I have not been able to attempt a solution because I do not know where to start. Please help.
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Ush
#2
Mar31-10, 08:26 PM
P: 98
you have all your equations and all your variables needed to find your unknowns..

if omega = sqrt (K/m)
find omega

then you can find period and frequency, angular frequency from there.

Energy of a spring is defined as.. 1/2 kx^2
..find energy

max velocity is when potential spring energy = kinetic energy, (equilibrium point)


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