Register to reply

Harmonic Oscillation

by nns91
Tags: harmonic, oscillation
Share this thread:
nns91
#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
Hoverbike drone project for air transport takes off
Earlier Stone Age artifacts found in Northern Cape of South Africa
Study reveals new characteristics of complex oxide surfaces
LowlyPion
#2
Mar27-09, 09:45 AM
HW Helper
P: 5,343
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
#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
#4
Mar27-09, 11:33 AM
HW Helper
P: 5,343
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