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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)4056020 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 onedimensional 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.
 Fall '10
 Jacobson
 Physics

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