HW 11 Tips - HW 11 Tips; PHY 131 Sect. 10, 11, 15; Fall...

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1 HW 11 Tips; PHY 131 Sect. 10, 11, 15; Fall 2010 Prof. Pascuzzi HW 11 covers the basics of Oscillations, Simple Harmonic Motion, Damped Oscillations (Ch. 14) and a small part of Waves (Ch.15) Information you may need; Restoring force due to a mass moving on a spring (Hooke’s Law) ; (note that force F and displacement x are both vectors, and that the “−“ sign denotes the direction of the force exerted by the spring on the moving mass) Period of Motion; (note that period T and frequency f are inverses of each other) Period of Motion for mass oscillating on a spring; General equation for the Acceleration of the oscillating mass; or (where denotes the second time derivative of the position function x ( t )) General solution for the equation of motion of the oscillating mass; (where and is the phase angle which tells how long after or before t = 0 the peak A occurs) (You should be able to take derivatives of this to find v and a , as described in the text) Energy conservation in the harmonic oscillator (height = constant); or as usual. Simple Pendulum period; Physical Pendulum period; (where I = moment of inertia and h = the distance of the pivot point from the center of gravity)
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2 General equation for the Acceleration of the damped oscillating mass; (where and denote the second and first time derivatives of the position function x ( t ), respectively, and b is the damping constant ) General solution for the equation of motion of the damped oscillating mass; (where and ) Wave Basics General Wave equation ; (where = the wavelength of the wave, f is its frequency) Wave speed through a taut wire/string ; Problem 1 “Good Vibes; Introduction to Oscillations” This problem is a great qualitative introduction to simple oscillations. Here, you simple work the equation for period and answer qualitative questions about the sinusoidal plot of an oscillating object’s position as a function of time. Remember that a full period
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This note was uploaded on 06/12/2011 for the course PHY 131 taught by Professor Rijssenbeek during the Fall '03 term at SUNY Stony Brook.

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HW 11 Tips - HW 11 Tips; PHY 131 Sect. 10, 11, 15; Fall...

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