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(II) An elevator (mass 4850 $\mathrm{kg}$ ) is to be designed so that themaximum acceleration is 0.0680 g. What are the maximumand minimum forces the motor should exert on thesupporting cable?

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$5.08 \times 10^{4} \mathrm{N}$, $4.43 \times 10^{4} \mathrm{N}$

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

Cornell University

University of Winnipeg

McMaster University

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) An elevator (mass 485…

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01:33

An elevator (mass $4850 \…

03:00

An elevator (mass 4750 kg …

(II) The cable supporting …

The cable supporting a $21…

01:37

01:28

(II) A 13.0 -kg monkey han…

01:15

A 2010 -kg elevator moves …

01:25

An elevator is designed to…

02:28

Assume the elevator is sup…

02:45

An elevator with a mass of…

01:14

01:58

An elevator cabin has a ma…

01:29

best to first draw the free body diagram. We have forced tension. Going straight down would be the force of gravity. Now we want to find force tension, Max and force tension men. So let's first draw us. Apply that some of forces in the UAE direction force tension minus and G. This would equal the mass times acceleration in the UAE direction and so forced tension would be equal to the mass times gravity plus the acceleration in the UAE direction. And this would specifically be the maximum force tension. And so we can solve and said that this is gonna equal 4000 800 50 kilograms and then multiply by 1.68 times G so 9.8 meters per second squared and we find that the force tension Max I would be equal to 5.8 times 10 to the fourth Nunes. Now, this is, um, specifically adding acceleration. So in this case, acceleration would actually be, um yeah, in this case, acceleration actually be positive now if the acceleration is negative, um, rather it is accelerating downwards. Then we have forced t minimum and forced tension. Minimum would as if you were to apply the same logic, it would be mass times G instead of plus a, uh, acceleration. The wider action had to be minus acceleration and the wine direct. And so this would be equal to again 4850 kilograms. But now it would be multiplied by 0.9332 times 9.8 meters per second squared. And so the minimum force tension would be equal to 4.43 times 10 to the fifth, rather to the fourth Nunes. And so this would be our minimum force tension and our maximum force tension. That is the end of the solution. Thank you for watching.

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