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(III) A pole projects horizontally from the front wall of a shop.A $6.1-\mathrm{kg}$ sign hangs from the pole at a point 2.2 $\mathrm{m}$ from thewall (Fig. $68 ) .(a)$ What is the pole at a point sign calculatedabout the point where the pole meets the wall? (b) If the poleis not to fall off, there must be another torque exerted to balance it. What exerts thistorque? Use a diagram to showhow this torque must act. (c)Discuss whether compression,tension, and/or shear play a role inpart $(b) .$

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A. $130 \mathrm{m} \cdot \mathrm{N},$ clockwiseB. the wall must put a torque on the poleC. all three are present

Physics 101 Mechanics

Chapter 12

Static Equilibrium; Elasticity and Fracture

Equilibrium and Elasticity

Rutgers, The State University of New Jersey

Hope College

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.

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diagram of our system. We know that the torque due to the sign is the product of the weight of the sign and the distance of the sign from the wall. So the four part of the torque the magnitude of the torque, would be equaling the weight of the sign times the distance from the wall. This is equaling 6.1 kilograms multiplied by 9.8 meters per second, squared multiplied by 2.2 meters. And we find that towel. The torque is equaling 130 approximately newton meters, and this would be clockwise. We can say that four part B. Um because the wall is the only other object that can put the force that can put force on the pole. Essentially. Then you can say the wall must quick a Twerk on the pole because it is the only other force that can put force on the pole. Ah, the torque. Due to the hanging sign, we know to be clockwise from party. And so the torque due to the wall is gonna be counter clockwise. We also know that the wall must put a net upward force on the pool as well, and so that is represented here. So we can say that force of the wall is upwards so that the net force equals zero new tenants. So I would be your answer for part B four part. See, we know that the torque on the rod can be considered as the wall pulling horizontal eats the left on the top left corner of the rod and then pushing horizontally too right at the bottom left corner of the rod. So we can then say that the reaction force is to put a sheet the reaction forces to these forces on the on the rod put a sheer on the wall at the point of contact. So there, so forces create a sheer on the wall, you can say at point of contact. And so with this also, the wall is pulling up words on the on the rod, and the ride is pulling down on the wall at the top surface of contact, causing tension so we can say yeah, cooling upwards. And then we can say that Rod cooling downward at top, surface of contact. So this creates attention. So we have a sheer we have attention and then additionally, we have the rod pushing down on the wall at the bottom surface of contact and this is causing a compression. So essentially we have a sheer because the torque on the rod can be considered as the wall pulling horizontally to the left on the top of the left corner of the rod. And then the torque on the right is pushing horizontally to the right, at the bottom left corner of their eye. And then that would create this year, the wall pulling upwards, the rod pulling downwards that is causing attention. And then the rod pushing down on the wall at the bottom surface of contact. This is causing a compression. So here all three forces are present. All three types. Of course, you could say all three types our present. That would be your answer for part C. That is the end of the solution. Thank you. For what

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