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SG_Chap13 - Chapter 13 Vibrations and Waves When x is...

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11/16/2009 1 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
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11/16/2009 2 Motion of the Spring-Mass 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
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