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A turntable $A$ is built into a stage for use in a theatrical production. It is observed during a rehearsal that a trunk $B$ starts to slide on the turntable 10 s after the turntable begins to rotate. Knowing that the trunk undergoes a constant tangential acceleration of $0.24 \mathrm{m} / \mathrm{s}^{2}$ determine the coefficient of static friction between the trunk and the turntable.
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Physics 101 Mechanics
Chapter 12
Kinetics of Particles: Newton’s Second Law
Newton's Laws of Motion
Rutgers, The State University of New Jersey
University of Washington
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.
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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in order to determine the coefficient of friction, we start with the equation of motion for uniform exploration that is really is equal to re nod. Initial lost E plus 80 times t Since we know the zero, we can write 80 times. T it is the tangential exclusion for a time, T is equal to 10 seconds. Well, we will be done. 0.24 time stent. This will give us a 2.4 liter core second in a plane motion. We can write some off forces physical two MB times X elation off me. Um, where we can write f is a call to MB our exploration b t plus M b. So I should be in this will be taking mosque and be common. We can write square root off a B t hold square plus a we square divided by r this square some of forces in a fly direction musical 20 Therefore, we can write a normal physical to wait. Um, where f weaken right f is equal to mute times l which is a call to mule and be times G then, um meal MB John G. We'll be cool. Teoh the question that we wrote earlier, So I m b square root or from a B Cheese Square plus. So we squared, divided by R this whole square and we will cancel out on each side. We'll bring a GI own right inside and separate mule like the values which will give us a meal to be 0.236
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