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Unformatted text preview: homework 02 NOORANI, ZOHEB 1 Latest unpenalized work: Jan 19 2008 Satur day 04:00 (after this date you can not make a perfect score). Work cutoff: Jan 19 2008, 4:00 am. Question 1, chap 1, sect 6. part 1 of 2 10 points This problem shows how dimensional anal ysis helps us check and sometimes even find a formula. A rope has a cross section A = 10 . 2 m 2 and density = 1520 kg / m 3 . The linear density of the rope , defined to be the mass per unit length, can be written in the form = x A y . Based on dimensional analysis, determine the powers x and y by choosing an expression below. 1. = A 2 2. = A 2 3. = A 4. = A 2 2 5. = 1 A 6. = A 7. = A 2 8. = 1 A 2 9. = A 2 10. = A Question 2, chap 1, sect 6. part 2 of 2 10 points A simple pendulum is made out of a string with length L and a mass m attached to one end of the string. Its period T of oscillation may depend on the gravitational acceleration g , and also depend on L and m . Based on dimensional analysis, check which one of the following expressions is dimension ally acceptable, where k is a dimensionless constant....
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This note was uploaded on 09/16/2009 for the course PHY 303K taught by Professor Turner during the Spring '08 term at University of Texas at Austin.
 Spring '08
 Turner
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