Harmonic Oscillation


by nns91
Tags: harmonic, oscillation
nns91
nns91 is offline
#1
Mar27-09, 09:34 AM
P: 301
1. The problem statement, all variables and given/known data

1. A man's superelastic suspenders catch on a fence post, he flies back and forth, oscillating with an amplitude A. What distance does he movee in one period ? What is his displacement over 1 period

2. Relevant equations

x=Acos(wt)

3. The attempt at a solution

I know that the displacement is 0 since he returns to the original position. I also know that the distance should be 4A but I don't know how to explain it. It just makes sense to me.

How do I prove that distance is 4A ?
Phys.Org News Partner Science news on Phys.org
SensaBubble: It's a bubble, but not as we know it (w/ video)
The hemihelix: Scientists discover a new shape using rubber bands (w/ video)
Microbes provide insights into evolution of human language
LowlyPion
LowlyPion is offline
#2
Mar27-09, 09:45 AM
HW Helper
P: 5,346
Quote Quote by nns91 View Post
1. The problem statement, all variables and given/known data

1. A man's superelastic suspenders catch on a fence post, he flies back and forth, oscillating with an amplitude A. What distance does he movee in one period ? What is his displacement over 1 period

2. Relevant equations

x=Acos(wt)

3. The attempt at a solution

I know that the displacement is 0 since he returns to the original position. I also know that the distance should be 4A but I don't know how to explain it. It just makes sense to me.

How do I prove that distance is 4A ?
What is the displacement for π/2 and each subsequent π/2 interval? How many π/2 intervals in a revolution?
nns91
nns91 is offline
#3
Mar27-09, 11:12 AM
P: 301
What do you mean by n ?

If you mean n/2 by the angle then it will move A for each n/2 and there are 4n/2 so it moves 4A

LowlyPion
LowlyPion is offline
#4
Mar27-09, 11:33 AM
HW Helper
P: 5,346

Harmonic Oscillation


Quote Quote by nns91 View Post
What do you mean by n ?

If you mean n/2 by the angle then it will move A for each n/2 and there are 4n/2 so it moves 4A
The font doesn't show it clearly but π is pi.

The font doesn't show it clearly but π is pi.


Register to reply

Related Discussions
damped harmonic oscillation General Physics 6
Simple harmonic oscillation Introductory Physics Homework 1
simple harmonic oscillation Introductory Physics Homework 1
Harmonic Oscillation problem Introductory Physics Homework 7
Harmonic Oscillation Energy Introductory Physics Homework 1