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Unformatted text preview: Chapter 13 Vibrations and Waves When x is positive, F is negative. When x = 0 (at equilibrium), F is 0. When x is negative, F is positive. 13.1 Hooke’s Law F s =  k x F s is the spring force k is the spring constant It is a measure of the stiffness of the spring A large k indicates a stiff spring and a small k indicates a soft spring The force always acts toward the equilibrium position It is called the restoring force Motion of the SpringMass System The object is pulled to a distance A and released from rest As the object moves toward the equilibrium position, F decrease, but v increases At x = 0, F is zero, but v is a maximum The object’s momentum causes it to overshoot the equilibrium position F start to increase in the opposite direction and v decreases The motion momentarily comes to a stop at x =  A The motion continues indefinitely Simple Harmonic Motion Motion that occurs when the net force along the direction of motion obeys Hooke’s Law The motion of a spring mass system is an example of Simple Harmonic Motion The amplitude , A, is the maximum position of the object relative to the equilibrium position. If no friction, the object will oscillate between the positions x = ±A The period , T, is the time that it takes for the object to complete one complete cycle of motion ( From x = A to x = ...
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This note was uploaded on 01/02/2010 for the course PHY 101 taught by Professor Pralle during the Fall '08 term at SUNY Buffalo.
 Fall '08
 pralle

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