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$\bullet$ In a museum exhibit, three equal weights are hung with iden-tical wires, as shown in Figure $5.35 .$ Each wire can support a ten-sion of no more than 75.0 $\mathrm{N}$ without breaking. Start each of thefollowing parts with an appropriate free-body diagram. (a) Whatis the maximum value that $W$ can be without breaking any wires?(b) Under these conditions, what is the tension in each wire?

a. 25 $\mathrm{N}$b. 25 $\mathrm{N}$50 $\mathrm{N}$75 $\mathrm{N}$

Physics 101 Mechanics

Chapter 5

Applications of Newton's Law

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

Vyonce H.

November 13, 2020

In a museum exhibit, three equal weights are hung with identical wires, as shown. Each wire can support a tension of no more than 75.0 N without breaking. What is the maximum value that W can be without breaking any wires? 25.0 N 75.0 N 50.0 N 35.0

A 100 N weight is supported by two wires A and B as shown. What can you conclude about the tensions in these wires? The tensions are equal to 100 N each. The tensions are equal but less than 50 N each. The tensions are equal but greater than 50 N ea

Cornell University

University of Michigan - Ann Arbor

Hope College

McMaster University

Lectures

04:01

2D kinematics is the study of the movement of an object in two dimensions, usually in a Cartesian coordinate system. The study of the movement of an object in only one dimension is called 1D kinematics. The study of the movement of an object in three dimensions is called 3D kinematics.

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

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Okay, so you have three different weights hanging from three different wires. And here we've called the top wire T the middle wir m and the bottom where? B. So let's go ahead and try the free body diagrams for each, uh, starting with, uh, be the bottom wire. And here, the downward forest. The only downward force is, uh, gravity. So w for weight and the upward forest. The on ly upward force is tension. Do the wire beat Colin T C B to be is fairly simple. Lookit Mm, middle wire. So here again, you have force of gravity is a doubt as a downward force. Um and then you have the tension from the middle wire piece of M A Z on the upward force. But then you also have pardon trying You also have of this is supposed to be down directly downwards. You have detention of the bottom wire acting downwards. Uh uh. This is from Newton's third law, action and reaction forces on DSO. And then again, a very similar situation. The top wire. You have wait acting downwards and attention from the top priorities of tiac tick upwards. And then you also have attention from the middle wire acting downwards again by Newton's that their love Okay, so those are your everybody diagram situations Now we use the second lock to find the attentions and the way w can tch So in order to do and so that this is a force can the y direction will be equal to mass times acceleration, light directions. So, for lookit, let's look att Why the bottom wire? Here you only have two forces, So Tisa be bias w will be zero. So we have that your bottom wire will be go away the same as the the weight The bottom wire exerts the same force as the weight of the body. Wait, which is the same lake from, um, the okay, Then you have the middle wire. And so for the middle wire you have tm is acting upwards minus t's, A B minus w equals zero. In all these cases, I should mention the net force Zero, the wires and vertically equilibrium. Okay, so you have t m. He calls t b plus w. We already found TB to be equal to w. So this is just twice the wait W okay, so good and then finally to the top wire t's a TV minus t's, um, am minus w for the zero. So he's a tearing will be Tisa, ma'am, plus W T Sam we found here, too, to W. So this is just two plus www for tutors. One w so three w utensil weight is the attention of the top bar. Okay, and some All right, but so attention the top wires to w hand. We want the top wire to be the watch and certain So we want So we have We know that the top wire should be should have the largest tension, so that were given to be a 75. Noodles are top wire t's of tea. It's 75 and that is equal to www. This implies that w as 25 mutants. And so you have the teeth of M, which is twice this is 15 times and t so be bottom. Why? Attention is just w itself. So that's 25 minutes and then, um and so and so t some tea will be clear. Them tease of, um will be greater than T C B, which is equal to W. That's it

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