# Tagged Questions

This tag is for non-relativistic material strings, such as, e.g., a guitar string. PLEASE DO NOT USE THIS TAG for relativistic strings and string theory.

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### How was the “vibrating string” studied?

The vibrating string is used to derive a lot of theory regarding strings, such as the theory about harmonics. However, since the string movement and specifically the phenomenon of harmonics seems ...
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### Tension at topmost point of a vertical circle

I read that for a body to move in a vertical circle, the minimum tension needed is 0 at the topmost point. Can someone explain to me what it means to have positive or negative tension on top. I'm not ...
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A ball (of mass $m$) is suspended by an elastic string. It accelerates upwards with an acceleration $a$. Find the tension in the string. Taking upwards as positive, we have $$T - mg = ma \iff T = m(a+... 2answers 133 views ### Few questions related to Tension I am struggling with the concept of tension in a rope. Below specific questions. I am understanding tension to be an elastic force between rope molecules. If so, is it fair to say the net tension ... 0answers 40 views ### Classical string as a limit case of elastic quantum states superposition The usuall way to "half-popularly" show that the quantum mechanics formalism is not unconnected to the classical mechanics is to demonstrate a classical case as a limit of a quantum case. The main ... 2answers 331 views ### Vibrating string, free end boundary condition When discussing the vibrating string problem with one end (or both) free to move in the vertical direction but constrained in the longitudinal direction (achieved by placing the "free" end in a ... 1answer 52 views ### Boundary behaviour of a mechanical wave Let us assume we have a taut rope and I introduce a pulse in it by whipping one end. Now if instead of a clamp, I have tied the other end of the rope to a denser rope, a part of the energy is ... 1answer 101 views ### An intuitive explanation regarding propagation of mechanical waves I was studying mechanical waves today and have questions regarding how a pulse is propagated on a string and its reflection and transmission at a boundary and I hope I can find help here. First, ... 2answers 107 views ### Magnitude of tension in a bent string I understand tension in a straight string as a reaction force to a weight, which acts along the string, ultimately resulting from the attractive forces between the constituent particles of the string. ... 1answer 417 views ### Tension in string question [closed] Problem: A 12.0-kg box resting on a horizontal, frictionless surface is attached to a 5.00-kg weight by a thin, light wire that passes without slippage over a frictionless pulley (the figure (Figure 1)... 1answer 106 views ### Problem in constraint equations In this, if I want the acceleration constraint between M and 2M, I write AM+2AB=LENGTH OF STRING, which on differentiating twice gives a_{m}=2a_{2m}(which turns out to be correct). However, if ... 3answers 176 views ### Simple harmonic motion versus oscillations I want to see whether certain oscillations in my daily life, such as the oscillation of violin strings when plucked, are simple harmonic motion or not. Can we identify whether an oscillation is simple ... 1answer 607 views ### Tension of a string, based on Hz, string-weight and string-length [closed] I’m not a physics student. Instead I have an electric bass guitar :) I know my strings vibrating-length: 0.800 Meter I know the total weight of this length: 0.016575 Kilo I know my strings resonant ... 1answer 86 views ### Motion of string fixed at both ends I was reading about the Fourier analysis from Waves by Frank S Crawford Jr. But I got trapped at the very beginning; this is the excerpt that troubled me: Motion of string fixed at both ends. ... 1answer 77 views ### Why, intuitively, are tension forces the same but opposite in a taut rope/string? I'm having a little trouble understanding why conceptually the two oppose each other with equal magnitudes. Let's say you have two people playing tug of war, with person A on the left much stronger ... 0answers 42 views ### Speed of breaking (guitar) string As I was playing the guitar yesterday, one of the strings broke and injured one of my fingers lightly. Astonished by the power of a breaking string, I was wondering whether there is a way to ... 1answer 85 views ### What's the relationship between the tension of string and the decay rate of its vibrations? It seems that the more tension on the string, the more slowly the sound would decay after being plucked. Is there a formula relating the two? How is it derived? 2answers 513 views ### Tension in rope between falling objects I got a mass m connected with a rope to a mass 2m which is centered directly underneat it. The masses are falling with a constant speed v. Would it be correct to say that the tension in the string is ... 4answers 1k views ### Wave reflection and open end boundary condition intuition I need to understand one seemingly simple thing in wave mechanics, so any help is much appreciated! When a pulse on a string travels to the right toward an open end(like a massless ring that is free ... 2answers 890 views ### In wave motion of a string both kinetic energy and potential energy are minimum at y=y_\text{max} then why does the string comes down again? In wave motion of a string both kinetic energy and potential energy are minimum at y=y_\text{max} then why does the string comes down again? As everything in tries to attain lowest energy possible ... 2answers 290 views ### Why does, at one time, tension balances the weight but at the other time don't balance it? Everyone is accustomed to many set-ups of Atwood machine; sometimes the question asks about acceleration of the blocks or so; sometimes they ask about tension etcetera. But one thing I couldn't ... 1answer 113 views ### Why & how do bodies attached by extensible strings move with common acceleration? From the very beginning of my journey of physics, I have been taught that while dealing problems having attachment of one body to another mass , if the string connecting the bodies be ... 1answer 64 views ### Relieving Tension in a String I have a zither with movable bridges, and one technique for lowering the pitch of the string on one side of the bridge is to lift the string on the other side. Because the length of the string is ... 0answers 144 views ### Sources that explain strings between two branes, where one brane ends on the other I can't seem to find a source that explains what happens when there are strings between one brane and another brane, where one brane ends on the other brane. For example, consider a D3-brane ending on ... 1answer 496 views ### How does temperature affect the frequency produced by a fixed vibrating string How does temperature affect frequency produced by a fixed vibrating string? In the case of the sonometer experiment, the length is fixed so temperature cant really affect length. It affects the ... 2answers 336 views ### Vertical circular motion: minimum velocity In vertical circular motion while finding the minimum velocity at the bottom-most point for looping the loop, why do we take the tension at the topmost point to be zero? 2answers 502 views ### A heavy rope is attached to one end of a lightweight rope [closed] If one end of a heavy rope is attached to one end of a lightweight rope, a wave can move from the heavy rope into the lighter one. (a) What happens to the speed of the wave? (b) What ... 1answer 53 views ### Total energy loss of a sphere as it falls through a distance h [closed] A block of mass M is placed on a rough horizontal table. A string attached to the block runs horizontally to the edge of the table, passes round a smooth peg, and supports a sphere of mass m ... 1answer 160 views ### Tension in the string produced due to pulling vs pushing I know that tension is produced when we pull the rope, but what if we push it? What would that be called? Is that tension too? Negative tension? 2answers 175 views ### Why is Heisenberg uncertainty principle not valid in waves in string? We know from high school physics that when the incident wave is traveling from a low density region (high wave speed) region towards a high density (low wave speed) region on a string, the width of ... 2answers 3k views ### Why are tensions in the pulley different when the pulley has a mass or moment of inertia? When two blocks are connected by a string passing over a pulley whose moment of inertia is given (means pulley is not massless) then why does the string not have same tensions? 3answers 166 views ### Reaction Force on String Wrapped Around Circular Peg A massless inextensible string is wrapped around a frictionless circular peg. The string is taut, with tension T_2 and T_1 at the points where it leaves of the pg as shown. The segment wrapped ... 2answers 127 views ### Tension in a massless string as it bends around a concave shape I understand that tension in a massless string must be the same throughout when the string is straight, to prevent any section of it from accelerating at an infinite rate. However, I fail to see how ... 3answers 4k views ### Is there a general rule for determining the direction of tension force? Tension, for me, is a tricky thing. After finishing a related chapter of my book and watching a video, I still can't get a hang of it. Here is a situation: My knowledge is that tension, just like ... 2answers 999 views ### Pulley-rope tension question I'm learning mechanics and I don't understand the following (simple, I guess) concept. Here's a pulley-rope system: The force of tension, as I understand it, is defined as the force exerted on an ... 1answer 89 views ### Parabolic polarization of a hanging chain When a chain hangs between two short posts, I can use my hand to oscillate it up and down in a standing wave. It's easy to demonstrate three of the possible normal modes, at the fundamental frequency ... 2answers 474 views ### Why is the net work done in a pulley-string system zero? In any pulley system, where the pulleys and strings are massless and frictionless, why is the net work done by Tension zero? 1answer 255 views ### Question about force in transverse waves on a string In deriving wave equation or power transmission of wave transmitted by a string, it is usually stated (with some assumptions) that the transverse force on a point of the string is proportional to the ... 2answers 1k views ### Is a string taut if the tension is zero? I'm studying vertical circles and a particle on a string will remain in motion as long as the string is taut. However, what if there is 0 tension in the string? Is it still technically taut? 1answer 79 views ### Picking a guitar string of fixed length to get any nth harmonic, is it possible? In physics textbook, we can calculate the nth harmonic of a vibrating string of a fixed length. How can we do this in a real guitar? For example, if I just pick a single open string, how can I get ... 2answers 262 views ### String wrapping around a motionless cylinder A particle is connected to the end of a thin, weightless string, which has its other end connected to the cylinder, in such a way that motion of the particle causes the string to wrap around the ... 1answer 896 views ### Why do flat cords tangle less in my pocket? We've all experienced this: put a pair of earbuds in your pocket, and when they come out, they're a tangled, knotted mess, cf. e.g. Why do earphone wires always get tangled up in pocket? However, you ... 1answer 55 views ### What will happen to Earth if it's tied to a black hole thru a really strong string? Imagine a very strong string (with infinity as as its breaking point) attached to earth very strongly and the other end is put inside a black hole, What will happen to Earth? And the string? Will ... 1answer 69 views ### Analysis of motion of a body moving on a string? I was wondering about something I observed yesterday. To give some background, one of my hobbies is slacklining. This is essentially like tight-rope walking but with a one inch piece of (in this case ... 1answer 60 views ### Distribution forces I've got two trees and between them is a rope. When someone about 100kg sits at the center of the rope, what are the forces on both parts of rope (to the left-hand side from the person and right-hand ... 0answers 42 views ### Tensions in a rope [duplicate] If two tensions are acting on a rope such that they are equal (each is 10 N) and opposite (180 degrees) then what will be the total tension in the rope? I cant seem to figure out if these two will ... 2answers 67 views ### Waves on a guitar string Can there be traveling waves on a string that is attached at both ends (like a guitar string), or does such a configuration allow only standing waves ? 3answers 192 views ### Tension on a string A string is attached at both extremities and put under tension T_0 at rest. We know that if we pull the string upwards from the middle, the tension will increase. But why is it that, admittedly,$$T\...
The mechanical energy of an element of the string is : $$dE(x,t) = \frac{1}{2}\left[T_0\left(\frac{\partial y}{\partial x}\right)^2 + \mu\left(\frac{\partial y}{\partial t}\right)^2\right]dx$$ Where ...
for this one, I can only do the first(a) $$V_{total}=\frac{mg}{l} \int_{x_0}^{d-x_0}{y(x)\sqrt{1+(\frac{dy(x)}{dx})^2}}dx$$ and have no idea about others.