All Questions
Tagged with homework-and-exercisesstring
427 questions
0votes
1answer
82views
Trying to find nonlinear wave equation for a string by abusing notation (algebraically manipulating differentials)
I derived the wave equation for a string of mass density $\mu$ with an equal tension $T$ being applied at both ends at an angle $\theta_x$ relative to the $x$-axis by taking an infinitesimal length of ...
- 25
6votes
5answers
617views
Formulating the catenary problem as a variational problem
I am interested in studying the curve a string follows when fixed by two points and subject to a (uniform) gravitational field. Say the string has a constant length $L$ and is fixed on two points A, B ...
- 2,164
2votes
2answers
76views
Trying to find wave equation for a string by abusing notation (algebraically manipulating differentials)
I'm trying to derive the wave equation for a string of mass density $\mu$ with an equal tension $T$ being applied at both ends at an angle $\theta_x$ relative to the $x$-axis. I've taken an ...
- 25
0votes
0answers
24views
Upper bound for the lowest transverse oscillation frequency of a 2D string with non-uniform density
I'm working on Problem 4.5 from A First Course in String Theory by B. Zwiebach. The problem involves a nonrelativistic 2D string with fixed endpoints at $(x=0,y=0)$ and $(x=a,y=0)$, position-dependent ...
- 1
-4votes
2answers
87views
Question about how $F= 2ma$ [closed]
Hello everybody, I was reviewing this study guide that my professor provided and was confused by this problem. I understand the entire process of determining acceleration, however I was confused by ...
1vote
0answers
31views
Vibration of a string with mass $M$ placed on it [closed]
Imagine a string with constant linear mass density and tension. then a $M$ mass is attached on it (at the middle of string) and released. Calculate a general solution as Fourier Series. Also ...
-1votes
1answer
62views
Physics IIT-JEE rotation question, getting two answers with two different approaches [closed]
Pulley System: Finding Acceleration and Angular Velocity I attempted to solve a problem involving two masses, $m_1$ and $m_2$, connected by a light string passing over a pulley of moment of inertia $I$...
10votes
2answers
264views
What is the optimal shape for a cable suspended vertically under gravity?
Breaking length is a convenient measure of tensile strength because it's independent of cross section and quantity of material. But the breaking length calculation assumes the cable has a constant ...
- 419
1vote
1answer
77views
Why are there two different tension forces on a continuous string in the pulley system shown?
In an ideal pulley system with massless and frictionless strings and pulleys, the tension is typically uniform throughout a continuous string, even when the system is accelerating. However, when ...
- 11
0votes
1answer
86views
Why we do not conserve energy in "string getting taut" type of questions?
Two particles A and B of equal mass m are attached by a string of length 5m and initially placed over a smooth horizontal table at a distance of 3m from each other vertically. Particle B is projected ...
- 37
1vote
1answer
50views
Kleppner and Kolenkow, Problem 5.19 [duplicate]
This is in reference to the following problem: $\textbf{Problem}$: (Coil of Rope) A uniform rope of mass density $\lambda$ per unit length is coiled on a smooth horizontal table. One end is pulled ...
- 327
1vote
2answers
105views
In an Atwood Machine, what does the "acceleration of a pulley" actually mean?
I was looking at problem 4.22 in Problems and Solutions in Introductory Mechanics by David Morin, which is displayed in the image below. The solution reads as follows: $(a_1 + a_2)/2$ is the ...
0votes
1answer
59views
What would be the ratio of $m:M$ (the system is in equilibrium) [closed]
So I've tried solving it and got $ T=4mg $ as the system is in equilibrium but I still am a little confused on how I would get the equation of tension with mass 'M'. Well my approach was: $ \frac{T}{4}...
0votes
1answer
34views
Equating energy and considering forces on particle in pulley system gives different results
This is an A-Level Maths Question that I was doing ealier, where I managed to get the right answer but when using a different method get something completely different. The intended way to do the ...
0votes
1answer
66views
Finding the tension in the string as it is wound around a cylinder while attached to a sphere [closed]
In this situation, I understand that we need to consider the concept of torque and moment of inertia to solve it as T x r = I x α -where α is angular acceleration. However, my confusion arises from ...
- 75
