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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 ρ = 1520 kg / m 3 . The “linear” density of the rope μ , defined to be the mass per unit length, can be written in the form μ = ρ x A y . Based on dimensional analysis, determine the powers x and y by choosing an expression below. 1. μ = ρA 2 2. μ = A ρ 2 3. μ = ρ A 4. μ = A 2 ρ 2 5. μ = 1 ρA 6. μ = A ρ 7. μ = ρ A 2 8. μ = 1 ρA 2 9. μ = A 2 ρ 10. μ = ρA 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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 Spring '08
 Turner
 Acceleration, Work, Velocity, mg 6, tQ tR tS, tQ tR

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