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$\bullet$ Shear forces are applied to a rectangular solid. The same forces are applied to another rectangular solid of the same material, but with three times each edge length. In each case the forces are small enough that Hooke's law is obeyed. What is the ratio of the shear strain for the larger object to that of the smaller object?

$| \frac{1}{9} ]$

Physics 101 Mechanics

Chapter 11

Elasticity and Periodic Motion

Equilibrium and Elasticity

Periodic Motion

Cornell University

University of Washington

Simon Fraser University

University of Sheffield

Lectures

04:12

In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.

02:18

In physics, an oscillation is the repetitive variation, typically in time, of some measure about a central value or between two or more different states. The oscillation may be periodic or aperiodic.

09:22

A square box beam is made …

03:12

Plot the shear-stress dist…

00:50

The ratio of the strong to…

our guys. That's taking the question. So question was asking us. Find out the ratio of the sheer strands around the larger object to the smaller objects. My first we know the elastic marginalise is equal to cheer, stress, overshare strains and sure stress is equal to force over area. Which means that the shooter's friends is equal to force over a tax ass. They ask you, Is that you asked Rogers if we consider the old Agilent's of wrecked rectangle is all it is Out we got a area is equal to L. A Times House elsewhere, and we consider a here was equal elsewhere. Is the area over the smaller objects? Okay, remember for unquestioning was saying in a larger object as the Ashland that is three times the Ashland off a smaller, uh, object, Which means that a prime which just the area off the larger objects has this such area. Thinks the Ashland's friendly, larger object just three times the excellence of a small object which will give us not elsewhere. Okay, so remember we're talking. Compare the sheer strains from the larger opera to the smaller object. So that's use this, which is since the forces the same. So it's force Oh A s a prime passed over force over a s. Okay, She said the last two modules, It's the same forces saying they are different. Is the area okay? It would do some math. We'll get something out of this which is F over a prime. Yes. Times the option, which is a S o graph asking as castle ever have kids all we got a Oh, a prime which is al square over Niall Square. I was square. Cancel. Well, is give us one overnight. So the ratio off the shear strain from the larger objects with smaller object is one overnight. And that's the answer for this question. Thank you.

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