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(II) Two snowcats in Antarctica are towing a housing unit toa new location, as shown in Fig. $38 .$ The sum of the forces $\vec{\mathbf{F}}_{\mathrm{A}}$ and $\vec{\mathbf{F}}_{\mathrm{B}}$ exerted on the unit by the horizontal cables is parallelto the line $\mathrm{L},$ and $F_{\mathrm{A}}=4500 \mathrm{N} .$ Determine $F_{\mathrm{B}}$ and themagnitude of $\vec{\mathbf{F}}_{\mathrm{A}}+\vec{\mathbf{F}}_{\mathrm{B}}$ .

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$6311 N$, $8363 N$

Physics 101 Mechanics

Chapter 4

Dynamics: Newton's Laws of Motion

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

Moment, Impulse, and Collisions

Andrew M.

July 6, 2021

How does a car make a right turn? Where does the torque come from that it needed to change the angular momentum?

Cornell University

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.

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

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(II) Two snowcats in Antar…

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(II) Two snowcats tow a ho…

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4Two snowcats in Antar…

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Two snowcats in Antarctica…

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Find the forces $\mathbf{F…

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Cable $A B C$ supports two…

04:39

Find algebraically the $(a…

01:19

A block weighing 300 lb is…

So here, Um, we know that the housing unit moves in the four direction on a straight line and there is no acceleration in the ex direction. Therefore, the net force in the extraction must be there up. So we can say that signal force in the extraction would be equal to force of it, plus forced a B X, and this one equals zero. Ah, therefore negative force of a sign of 48 degrees plus force sub be sign of 32 degrees ah would equal zero. And we can say that the four sub d would be equal to force sub a sign 48 degrees divided by sign of 32 degrees. Uh, this is equaling 4500 units times sign of 48 degrees divided by again sign of 32 degrees. Ah, this is equaling 6311 Nunes. Now we know that ah, the ex components add up to zero. Therefore, the magnitude of the vector sum of the two forces will just be the sum of their Why components. So we can say that for the y component, it's the sum of forces in the UAE direction would be equal to force of a wine plus forces be why this would equal force sub a co sign of 48 degrees, cause force some B Co sign of 32 degrees. And we can say that the sum of forces in my direction would be equal to 4500 Nunes multiplied by co sign of 48 degrees, plus what we just found. 6311 Newton's multiplied by co sign of 32 degrees, and we find that the sum of forces in the wind direction will equal 8363 Newmans. This would be our final answer. That is the end of the solution. Thank you for watching.

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