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PHYSICS 002C Lecture 07

# PHYSICS 002C Lecture 07 - PHYSICS 002C DEMO The ukulele is...

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PHYSICS 002C Lecture 07 April 13, 2009 Serway and Jewett Chapter 13 – Superposition, Interference, Beats, and Standing Waves DEMO: The ukulele is a standing wave machine. Q: A nylon (specific gravity = 1.00) ukulele string has a 1 mm 2 cross sectional area and is 0.5 m in length. When a 0.1 kg weight is hung at the center of the string, the string deflects 3.125 mm. What is the fundamental frequency (in Hz) of the string when it is plucked, given that the string length is a half wavelength? a) 10; b) 200; c) 2000; d) 1000; e) 100. New Material - Chap 14.1 The Superposition Principle The sum of two solutions to a linear wave equation is also a solution. The definition of a linear operator O ( x , y ,…) that acts on a set of functions f ( x , y ,…), g ( x , y ,…), … is that O ( x , y ,…) [ af ( x , y ,…)+ bg ( x , y ,…)]= a O ( x , y ,…) f ( x , y ,…)+ b O ( x , y ,…) g ( x , y ,…) for all functions in the set and for all multipliers a , b , …. A linear wave equation is of the form

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PHYSICS 002C Lecture 07 - PHYSICS 002C DEMO The ukulele is...

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