374bhw3 - HW#3 —Phys374—Spring 2007 Prof. Ted Jacobson...

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Unformatted text preview: HW#3 —Phys374—Spring 2007 Prof. Ted Jacobson Due before class, Friday, Feb. 16, 2007 Room 4115, (301)405-6020 www.physics.umd.edu/grt/taj/374b/ [email protected] 1. Equation of motion for a stretched string : In class we derived the equation of motion for a stretched string by applying Newton’s law to each bit of string. This is also called the one-dimensional wave equation. The derivation is written up and posted at the supplements link to the course web page. (I just posted a 2007 version, which modifies somewhat the 2006 version.) For this homework, do the three exercises, a , b , and c that are included with that supplement. [4+3+3=10 pts.] 2. Convergence of improper integrals (a) Show that R ∞ 1 dtt n is finite if and only if n <- 1. (b) Show that R ∞ dt ( a + bt ) n , with a,b > 0, is finite if and only if n <- 1. Be careful to treat the n =- 1 cases properly. [5 pts.] 3. Consider a particle of mass m in one dimension with a positive velocity v , acted on by a force that depends on the velocity as...
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This note was uploaded on 12/29/2011 for the course PHYSICS 374 taught by Professor Jacobson during the Fall '10 term at Maryland.

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374bhw3 - HW#3 —Phys374—Spring 2007 Prof. Ted Jacobson...

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