# Homework Help: Calculate number of nodes in stationary waves

1. Jul 10, 2013

### markus92

1. The problem statement, all variables and given/known data

Hi guys I have this problem that I can't solve..

Suppose to have this situation:

when M=16kg the cord vibrates in one of its normal ways of oscillation.
when M=6.25 we have the same frequency but 3 more nodes.

How many are the nodes of the stationary wave in the first and in the second case?

Knowing that for the n harmonic the frequency is

$\frac{n}{2L}\sqrt{\frac{T}{u}}$

3more node → n harmonic first case +2 so

$\frac{n1}{2L}\sqrt{\frac{T1}{u}}$=$\frac{n2}{2L}\sqrt{\frac{T2}{u}}$

but it's wrong.

How can I solve this?

Last edited: Jul 10, 2013
2. Jul 10, 2013

### darkxponent

I think i would be n+3 not n+2 for three more nodes

3. Jul 10, 2013

### markus92

yes I think you're right

edit.

solved

Last edited: Jul 10, 2013
4. Jul 10, 2013

### barryj

I worked the problem and I am curious what the answer is?

5. Jul 11, 2013

### markus92

Last edited: Jul 11, 2013
6. Jul 11, 2013

### barryj

Let me ask for a definition. If the string is vibrating at its lowest frequency, do you consider the endpoints f the string where it attaches to the wall and pully nodes or do the nodes only exist BETWEEN the end points? Put another way does the fundamental frequency have 0 or 2 nodes?

7. Jul 11, 2013

### markus92

I consider the fundamental have 2 nodes like this schema