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PHY183-Lecture52 - Few points Final Exam date Thurs May 4...

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April 21, 2006 Physics for Scientists&Engineers 1 1 Physics for Scientists & Physics for Scientists & Engineers 1 Engineers 1 Spring Semester 2006 Lecture 52 April 21, 2006 Physics for Scientists&Engineers 1 2 Few points ! Final Exam date: Thurs. May 4, 8-10 pm E100 VMC (Veterinary Medical Center) Bldg. ! Make-up Final Exam date: (for students with good excuse) Tues. May 2, 3-5 pm 1420 BPS Bldg. Please contact Profs. Schmidt or Yuan ! Clicker points (thru April 18) posted on Lon-Capa Maximum points so far: 146 Scores out of ! maximum = 73 April 21, 2006 Physics for Scientists&Engineers 1 3 General Wave Equation General Wave Equation ! Wave equation applicable for all wave motion in 1-D: ! Solutions: with Y = arbitrary function! ! Sinusoidal waves: Moving to “right”: Moving to “left”: ! Wave speed: (specific to medium of the wave) y ( x , t ) = A sin ! t " # x + $ 0 ( ) y ( x , t ) = A sin ! t + " x + # 0 ( ) v = ! " = # f " 2 " t 2 y ( x , t ) # v 2 " 2 " x 2 y ( x , t ) = 0 y 1 ( x , t ) = Y ( t " x / v ) y 2 ( x , t ) = Y ( t + x / v ) 2 2 2 2 2 y y m k x t x ! ! " # $ ! ! April 21, 2006 Physics for Scientists&Engineers 1 4 Wave on a string Wave on a string ! Musical sound produced by inducing vibration on strings ! Decompose string into a series oscillators separated by ! The velocity of wave is ! One oscillator => is mass per unit length ! Spring force = tension T in the string ! => can increase the pitch by tightening the string x ! x m M x L μ ! = = ! T = k ! x μ v = k ( " x ) 2 m v = k " x m / " x = T μ f = v " = 1 " T μ
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April 21, 2006 Physics for Scientists&Engineers 1 5 Elevator (1) ! An elevator repairman (mass 73 kg) sits on top of an elevator cabin of mass 655 kg inside a shaft of a skyscraper. The cabin is suspended by a 61 m long steel cable of mass 38 kg. He sends a signal to his colleague at
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