Massless String
Massless String - Related Videos
01:04
Problem-Solving: Tuning of a Guitar String
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2023
In the case of stringed instruments like the guitar, the elastic property that determines the speed of the sound produced is its linear mass density or the mass per unit length. This is simply called the linear density. If the string's linear density is constant along the string, then the linear density is simply the total mass divided by the total length. The string's wave speed can be regulated by varying the linear density. Tension is the other property that determines the speed of...
10:26
Dendrochronological Dating and Provenancing of String Instruments
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Cited by 1 •
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The dendrochronological analysis of a stringed instrument requires inspecting the top plate, measuring the tree ring widths, establishing the chronology of the instrument, and dating through determining the end date-the year of the formation of the most recent tree ring.
10:00
A Customizable Protocol for String Assembly gRNA Cloning (STAgR)
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Cited by 2 •
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Here, we present string assembly gRNA cloning (STAgR), a method to easily multiplex gRNA vectors for CRISPR/Cas9 approaches. STAgR makes gRNA multiplexing simple, efficient and customizable.
08:30
Investigating von Willebrand Factor Pathophysiology Using a Flow Chamber Model of von Willebrand Factor-platelet String Formation
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Cited by 6 •
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In this paper, we describe a method to assess endothelial von Willebrand factor release and the subsequent platelet capture under fluid shear stress in response to inflammatory stimuli using an in vitro flow chamber system.
09:32
Standing Waves
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2023
Source: Arianna Brown, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA Standing waves, or stationary waves, are waves that appear not to propagate and are produced by the interference of two waves traveling in opposite directions with the same frequency and amplitude. These waves appear to vibrate up and down with no linear movement and are most easily identified in vibrating finite media like a plucked guitar string,...
FAQs
With negligible string mass, no part of the string needs a net force to accelerate its own material. The tension therefore remains uniform along the string when the setup also uses an ideal frictionless pulley. This simplifies each connected body to a force balance involving the same tension, making the system’s acceleration easier to determine.
An inextensible string maintains a fixed length, so motion at one end constrains motion at the other. In a simple two-body arrangement, the connected bodies have corresponding displacements and accelerations along the string. This constraint lets researchers combine separate force equations into a single system analysis rather than treating each body’s motion independently.
A massive string has inertia, so different sections can require different tensions to accelerate the string itself. Neglecting that mass removes the string’s own dynamical equation and allows a common tension to be used in the idealized model. The approximation is most useful when the string’s mass is negligible compared with the bodies it connects.
A frictionless pulley supports the ideal assumption that the string changes direction without introducing a friction-related difference in tension. Combined with negligible string mass, this permits the same tension to be applied on the relevant string segments. Force balances can then focus on the suspended or connected bodies and their resulting acceleration.
First identify the bodies connected by the string and choose the direction of possible motion. Next, draw the forces acting on each body, assign one tension to the ideal string, and apply Newton’s laws separately. Finally, use the inextensible-string constraint to relate the motions and solve the combined equations for tension and acceleration.
In an Atwood machine, two suspended masses are connected by a string that passes over a pulley. The massless-string assumption supplies a common tension, while the inextensible condition links the masses’ motions. Writing Newton’s laws for both bodies produces a simplified description of the system’s acceleration and shows how the connected masses influence one another.
The string provides an ideal connection through which motion and tension couple the bodies. As one body moves, the inextensible constraint determines the corresponding motion of the other, while the tension transmits the interaction between them. This makes pulley arrangements useful for examining how mechanical energy is transferred within a connected-body system.
This approximation is useful when the primary goal is to study tension, constraints, acceleration, or energy transfer without modeling the string’s inertia. It supports analyses of suspended masses, Atwood machines, and related pulley arrangements. By omitting negligible string mass, researchers can concentrate on the bodies’ force balances and the system-level consequences of their connection.