Phy 2425 Exam 3 Summer 2008 teamtest

Phy 2425 Exam 3 Summer 2008 teamtest - Exam 3 PHY2425 Name...

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Exam 3 PHY2425 Summer 2008 Name _________________________________________ Name _________________________________________ Name _________________________________________ Name _________________________________________ Part II: Problem 1 (20 points) Show all work. A thin rod of length L has a nonuniform linear mass density λ = 20y (kg/m) (for the coordinate system shown where the origin is at the bottom end of the rod) as shown in the figure. Report the final results to each question in the table below. Results a. Find the total mass, M, of the rod. b. Show that the moment of inertia of the rod about the z-axis (the axis that passes through end A perpendicular to the rod) is 2 2 1 ML I A = 2 2 1 ML I A = c. Find the moment of inertia of the rod about an axis parallel to the z- axis that passes through the other end of the rod (the axis that passes through end B perpendicular to the rod). (Report the result as a function of M and L) d. Find the moment of inertia of the rod about an axis parallel to the z-
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Phy 2425 Exam 3 Summer 2008 teamtest - Exam 3 PHY2425 Name...

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