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September 2, 2014

September 2, 2014

Posted by **Greg** on Wednesday, December 1, 2010 at 8:01pm.

a.) the period of the motion

b.) the maximum speed of the particle

c.) total mechanical energy of the oscillator

What is the magnitude of the force on the particle when the particle is at:

d.) its maximum displacement

e.) half its maximum displacement

I have the answers from the back of the book, but I don't know which equations to use! Any help would be very appreciated!

- Physics: Simple Harmonic Motion -
**bobpursley**, Wednesday, December 1, 2010 at 8:10pmI am going to assume you are in calculus.

x(t)=2E-4 * sin(wt+Phi)

v(t)=w*2E-4 * cos(wt+Phi)

a(t)=w^2*2E-4 sin(wt+Phi)

You know the w=2PI/period, so given max a, find w, and then period.

then max speed.

total ME? 1/2 m (maxv)^2

for the last q, remember F=ma

You know max acceleration occures when the sin term is 1, so max a= w^2*2E-4

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