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Three seconds after a polisher is started from rest, small tufts of fleece from along the circumference of the 225 -mm-diameter polishing pad are observed to fly free of the pad. If the polisher is started so that the fleece along the circumference undergoes a constant tangential acceleration of $4 \mathrm{m} / \mathrm{s}^{2},$ determine $(a)$ the speed $v$ of a tuft as it leaves the pad, $(b)$ the magnitude of the force required to free a tuft if the average mass of a tuft is $1.6 \mathrm{mg}$

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Physics 101 Mechanics

Chapter 12

Kinetics of Particles: Newton’s Second Law

Newton's Laws of Motion

Cornell University

Rutgers, The State University of New Jersey

University of Sheffield

University of Winnipeg

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.

09:37

Isaac Newton (4 January 1643 – 31 March 1727) was an English mathematician, physicist, astronomer, theologian, and author (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time and a key figure in the scientific revolution. His book Philosophiæ Naturalis Principia Mathematica ("Mathematical Principles of Natural Philosophy"), first published in 1687, laid the foundations of classical mechanics. Newton also made seminal contributions to optics, and he shares credit with Gottfried Wilhelm Leibniz for developing the infinitesimal calculus.

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the free body diagram for the human problem is in following way the tough Here's the tangential force acting in this direction, which we call it F D, where we have ah mass times. Tangential exploration is in this direction. If in is a downward, so is the motion is uniformly accelerated. Weaken right b is equal. Teoh being on unusual lost E plus 80 times t then at tees equal to authorities equal to he's equal to three seconds we get there. We physical to four times three. Since we know zero, this will give us a 12 meter for a second. This is for about a off the problem for ah be off the problem where, um, some off forces efty is a quote the mass times 80 we can write ah f t is equal to mass times Ah, the T which is 1.6 times 10 to the ball minus six times four. This will give us f d o foe 6.4 times 10 to the power minus six Newton. Then we can write some off the FN forces is you call the mass Times. Yeah, which is downward here most times in this will be cool. Teoh m we squared, divided by r Then substituting your values, we get to your offend to be 2.0 for eight times 10 to the power minus three Newton. Then therefore sewn tuft will be four. Soon tuft will be simply square Ruto for lefty Ah square plus half in square which we found earlier will pluck those values and look 10 foursome tough to be 2.5 time center The ball were minus three Newton.

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