Homework 7-solutions

# Homework 7-solutions - le(txl65 – Homework 7 – Spurlock...

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Unformatted text preview: le (txl65) – Homework 7 – Spurlock – (11881) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine the moment of inertia of a cylinder of radius 0 . 64 m, height 1 . 4 m and density (0 . 684- . 342 r + 0 . 325 r 2 ) kg / m 3 about the center. Correct answer: 0 . 2205 kg · m 2 . Explanation: Let : r = 0 . 64 m and h = 1 . 4 m . I = integraldisplay ρ r 2 dV = integraldisplay R (0 . 684- . 342 r + 0 . 325 r 2 ) r 2 r dr × integraldisplay 2 π dθ integraldisplay h dz = parenleftbigg . 684 R 4 4- . 342 R 5 5 + 0 . 325 R 6 6 parenrightbigg 2 π h = bracketleftbigg . 684 (0 . 64 m) 4 4- . 342 (0 . 64 m) 5 5 + 0 . 325 (0 . 64 m) 6 6 bracketrightbigg 2 π (1 . 4 m) = . 2205 kg · m 2 . 002 (part 1 of 2) 10.0 points A uniform flat plate of metal is situated in the reference frame shown in the figure below. b b b b 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 x ( m ) y (m) Calculate the x coordinate of the center of mass of the metal plate....
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Homework 7-solutions - le(txl65 – Homework 7 – Spurlock...

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