How Do Pulses Travel in Strings of Different Densities?

In summary, the tension in a string can be calculated using the formula T = F * cosθ, where T is the tension, F is the force applied to the string, and θ is the angle between the string and the direction of the force. The speed of a wave on a string is affected by the tension of the string, the mass per unit length of the string, and the length of the string, and is indirectly affected by the frequency of the wave. The tension in a string can never be negative, and changing the length of a string will affect the frequency of a standing wave, with frequency being inversely proportional to length. Multiple standing waves can exist on a string at the same time, with different frequencies and wavelengths
  • #1
paulsberardi
8
0

Homework Statement


String 1 in the figure has linear density 2.4 g/m and string 2 has linear density 3.5 g/m. A student sends pulses in both directions by quickly pulling up on the knot, then releasing it. Consider the pulses are to reach the ends of the strings simultaneously.
In the figure: The two strings are tied together in the middle and the combined strings have a length of 4m.

Homework Equations


What is the length of string one and what is the length of string 2?
 
Physics news on Phys.org
  • #2
please show your attempt to solve the question ..
 

Related to How Do Pulses Travel in Strings of Different Densities?

1. How do I determine the tension in a string?

The tension in a string can be calculated using the formula T = F * cosθ, where T is the tension, F is the force applied to the string, and θ is the angle between the string and the direction of the force.

2. What factors affect the speed of a wave on a string?

The speed of a wave on a string is affected by the tension of the string, the mass per unit length of the string, and the length of the string. It is also indirectly affected by the frequency of the wave.

3. Can the tension in a string ever be negative?

No, the tension in a string can never be negative. Tension is a force and therefore can only have positive values.

4. How does changing the length of a string affect the frequency of a standing wave?

The frequency of a standing wave on a string is inversely proportional to the length of the string. This means that as the length of the string increases, the frequency of the standing wave decreases, and vice versa.

5. Can a string have more than one standing wave at a time?

Yes, a string can have multiple standing waves at a time. These waves will have different frequencies and wavelengths, and can be produced by plucking or vibrating the string at different points.

Similar threads

Question about Waves on a String
    • Introductory Physics Homework Help
Replies
2
Views
915
Resolving forces involving an elastic string
    • Introductory Physics Homework Help
Replies
1
Views
1K
How to Calculate Time, Weight, and Wavelength in a String with Weight System?
    • Introductory Physics Homework Help
Replies
22
Views
2K
Tension in 4 strings suspending object at 4 different points
    • Introductory Physics Homework Help
Replies
19
Views
3K
Frequencies of the first three overtones in a string?
    • Introductory Physics Homework Help
Replies
2
Views
1K
Wave speed on a string of non-uniform linear mass density
    • Introductory Physics Homework Help
Replies
1
Views
3K
Mastering physics Problem 20.58 tension and wave velocity
    • Introductory Physics Homework Help
Replies
3
Views
3K
How long does it take a 1ms pulse of light to travel 20m
    • Introductory Physics Homework Help
Replies
11
Views
2K
Given linear density of two strings of total length 4m, find total length.
    • Introductory Physics Homework Help
Replies
18
Views
9K
Mastering Physics: Acceleration of a Pulley
    • Introductory Physics Homework Help
Replies
4
Views
11K

Hot Threads

Recent Insights

Back
Top