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$\bullet$ Two 25.0 $\mathrm{N}$ weights are suspended at opposite ends of arope that passes over a light, frictionless pulley. The pulley isattached to a chain that is fastened to the ceiling. (SeeFigure 5.36 ) Start solving this problem by making. (See-body diagram of each weight. (a) What is the tension in therope? (b) What is the tension in the chain?

(a) $T_{r}=25 \mathrm{N}$(b) $T_{c h}=50 \mathrm{N}$

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

Rutgers, The State University of New Jersey

Hope College

University of Winnipeg

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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Two $25.0 \mathrm{~N}$ wei…

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Two 25.0 -N weights are su…

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Two 25.0-N weights are sus…

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A light rope is attached t…

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ssm Two objects $(45.0 \te…

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The pulley is given an acc…

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OK, so today's problem is we have a pulley with two masses hanging by a rope and the pulley is light and frictionless so we can assume that it is. Massless is well and it is a touch to a ceiling with a change and the question asked us first to find the tension in the ropes. So how I'm going to do that is first. I've already drawn the free body diagrams for both of the masses and they look exactly the same because the masses have the same weight 25 unions. So you have downwards pointing force that is the weight of the maths and then upwards pointing for us, that is a tension in the room. And since we can assume that the pulley is massless and frictionless, we can say that the tension at all points of the rope is a safe meaning that the tensions, um, the upwards force of tension that mass one into experiences the same. So now we can go ahead and write Newton's second law for both of the masses. So you get equals m one A from US one and F equals and to a firm ass too, and we can go ahead and write that T R minus w equals M one A. And the same can be written from ass to, but you'll see that it's not really important because the A is zero, since it's suspended in dinner. So we can say that, um, t r minus w equals zero and you get the exact same thing because the M two canceled out from us, too. And we could say that T. R is equal to W, which is equal to the weight of one of the masses, which is 25 minutes. And that is our answer for party of the question and in part, B assets for the tension in the chain. I've gone ahead and made another free body diagrams. It's a little bit cut off, but those are two arrows pointing downwards, and those are both for the weights of the two masses. And then you have the tension of the chain upwards for the police, and we can write Newton's second Law of this a swell. You get a People's Army and um, you could say that the tension of the chain minus two times the way because the way it is the same for both of the masses is equal to zero. So Oh, and it's zero because you have m times A. But the acceleration is zero because the pulleys and moving up or down. So we can say that the tension of the chain is equal to two times the weight, which is equal to 15 years, and that his dancer

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