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Part $a$ of the drawing shows a bucket of water suspended from the pulley of a well; the tension in therope is 92.0 $\mathrm{N}$ . Part $b$ shows the same bucket of water being pulled up fromthe well at a constant velocity. What is the tension in the rope in part $b$ ?

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$[184 \mathrm{N}]$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

University of Sheffield

Lectures

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.

03:43

In physics, dynamics is the branch of physics concerned with the study of forces and their effect on matter, commonly in the context of motion. In everyday usage, "dynamics" usually refers to a set of laws that describe the motion of bodies under the action of a system of forces. The motion of a body is described by its position and its velocity as the time value varies. The science of dynamics can be subdivided into, Dynamics of a rigid body, which deals with the motion of a rigid body in the frame of reference where it is considered to be a rigid body. Dynamics of a continuum, which deals with the motion of a continuous system, in the frame of reference where the system is considered to be a continuum.

02:21

Part $a$ of the drawing sh…

00:44

00:57

Part $a$ of the drawing …

01:37

Pulling up on a rope, you …

01:24

A $4.80-\mathrm{kg}$ bucke…

03:54

04:45

The two blocks in Fig. 4.3…

07:31

The two blocks in $\textbf…

03:58

As part $a$ of the drawing…

05:12

(II) One 3.2-kg paint buck…

03:57

03:45

Two buckets of sand hang f…

04:11

An object of mass $M$ is h…

09:57

The two blocks in Fig. $\m…

03:21

(II) One $3.2-\mathrm{kg}$…

in part a of the drawing. The book It Off Water is being sustained by this rope, which produces attention force and distension. Forces are counter acting the weight force in the first situation so we can apply Newton's second law on the first situation to calculate what is the weight off the bucket. So let me choose the reference frame for the Newton's second law as follows. Everything that is pointing up is pointing to the positive direction, and everything that is pointing down as a consequence is pointing to the negative direction. Therefore, applying Newton's second law to situation A, we get the following than that force is equals to the mass off the bucket times its acceleration note that the bucket is not moving anywhere. Therefore its acceleration is equal to zero. Then the net force that acts on the book. It is equal to zero on that situation. Then the forces that compose the net force in the situation are the two tensions and the weight forced reform. We have the following one tensions plus the order tension mind, as the weight foresees equals +20 then two times irritation is equals to do enforce the tensions. Egos to 92 noodles. Therefore, two times 92. Is he close to the weight, then the weight off the bucket is equals to 184 Newtons. Now on the situation be we can apply Newton's second law again, and this time we have the following. The net force is equal to the mass off the bucket times acceleration off the bucket. Now the buckets moving. But it's moving with a cause. That velocity, therefore acceleration is zero again. Then the net force steals being equals 20 But this time we have only one tension sustaining the bucket. Only this tension, which I had colored three t prime then the prime minus. The weight force is equal to zero. Therefore, t prime is equals to the weight force which is equals to 184 new terms. Then the tension on the rope In the second situation Yes, 184 new terms

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