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notes13 - Chapter 13 Oscillatory Motion We continue our...

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Chapter 13: Oscillatory Motion We continue our studies of mechanics, but combine the concepts of translational and rotational motion. We will revisit the ideal spring . In particular, we will re-examine the restoring force of the spring and its potential energy. We will consider the motion of a mass, attached to the spring, about its equilibrium position. This type of motion is applicable to many other kinds of situations: pendulum, atoms, planets, ...
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Simple Harmonic Motion If we add a mass m to the end of the (massless) spring, stretch it to a displacement x 0 , and release it. The spring-mass system will oscillate from x 0 to –x 0 and back. 0 x 0 -x 0 m k Without friction and air resistance, the oscillation would continue indefinitely This is Simple Harmonic Motion (SHM) SHM has a maximum magnitude of | x 0 |= A , called the Amplitude
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One way to understand SHM is to reconsider the circular motion of a particle and rotational kinematics (The Reference Circle)
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