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Chapter 11: Simple Harmonic Motion
Chapter 11: Simple Harmonic Motion

... Now, stretch the spring as shown, moving the mass to x = A. If the mass is then released from rest, it will oscillate (in the absence of friction) forever between x = ± A. When the spring is stretched an amount x, it feels a restoring force F = -kx that tries to return the system to its equilibrium ...
Physics 201 Fall, 2010 Solved Problems: Examples for Mid
Physics 201 Fall, 2010 Solved Problems: Examples for Mid

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... • The force of gravity causes the speed of an object in a vertical circular path to vary. The object accelerates on the downward portion of its circular path and decelerates on the upward portion of the circular path. • At the top and bottom of a vertical circular path, the weight and the normal for ...
Solutions - American Association of Physics Teachers
Solutions - American Association of Physics Teachers

... example the case where all of the particles have equal mass and they emerge at the corners of a triangle or tetrahedron.) However, note that the total momentum of the daughter particles must be zero; it is impossible for two non-collinear vectors to sum to zero, nor three non-coplanar vectors. Thus ...
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... Newton’s Law #2 » What does this mean, really? » Picture a trip to Costco. » After grabbing a hot dog or piece of pizza, you grab a cart & start shopping. » At first, the cart is nice & light, and fun to drive around & pretend to race people. » By the time you’re done shopping, what does the ...
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Relativity 1 - UCF College of Sciences

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... Dean reads in his physics book that when two people pull on the end of a rope in a tugof-war, the forces exterted by each on the other are equal and opposite, according to Newton’s Third Law. Misunderstanding the law tragically, Dean runs out to challenge Hugo the Large, convinced that the laws of p ...
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Chapter 8 Problems - University of Colorado Colorado Springs

... A daredevil plans to bungee-jump from a balloon 65.0 m above a carnival midway. He will use a uniform elastic cord, tied to a harness around his body, to stop his fall at a point 10.0 m above the ground. Model his body as a particle, and the cord as having negligible mass and one that obeys Hooke’s ...
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... What about net force times displacement? If the net force on an object acts through a certain displacement, is the product, net force times displacement, significant? Yes, it is! To explore this idea in more detail, let’s consider a hypothetical situation–after all, you should always first understan ...
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Lecture slides with notes

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... Picture the Problem. We can find the velocity of the center of mass from the definition of the total momentum of the system. We’ll use conservation of energy to find the maximum compression of the spring and express the initial (i.e., before collision) and final (i.e., at separation) velocities. Fin ...
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... (2) [4 pts] Explain why the rotating earth cannot be a perfect sphere but rather must be slightly flattened at the poles and slightly bulging at the equator. (Adopt an inertial frame of reference and invoke Newton’s Second Law appropriately. A diagram will help.) Pieces of the earth exhibit perfect ...
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... 3.2 Projectile motion in two dimensions using vectors r(t) = (x(t) , y(t) ) and v(t) = (vx(t) , vy(t)) ............ 11 3.3 Graphical view of motion in a river or with an air current using vectors graphically ........................... 11 3.4 More complex projectile problems ........................ ...
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... Talk about times that you have dropped objects. Have you found that all objects drop at the same rate, or do some fall faster that other? What factors do you think affect how fast an object falls? ...
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Classical central-force problem



In classical mechanics, the central-force problem is to determine the motion of a particle under the influence of a single central force. A central force is a force that points from the particle directly towards (or directly away from) a fixed point in space, the center, and whose magnitude only depends on the distance of the object to the center. In many important cases, the problem can be solved analytically, i.e., in terms of well-studied functions such as trigonometric functions.The solution of this problem is important to classical physics, since many naturally occurring forces are central. Examples include gravity and electromagnetism as described by Newton's law of universal gravitation and Coulomb's law, respectively. The problem is also important because some more complicated problems in classical physics (such as the two-body problem with forces along the line connecting the two bodies) can be reduced to a central-force problem. Finally, the solution to the central-force problem often makes a good initial approximation of the true motion, as in calculating the motion of the planets in the Solar System.
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