11exam1solution - Exam 1. NAME: z A5 A2 F 3 A3 c A1 F 2 F 1...

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Exam 1. NAME: O x y z F 1 F 3 F 2 a c b A 1 A 2 A 3 A 5 F 4 A 4 Figure 1: Problem 1 1. The parallelepiped shown in the figures has the sides a = 1 m, b = 1 m, and c = 2 m. The magnitudes of the vector forces are F 1 = F 2 = 10 N, F 3 = 20 N, and F 4 = 20 N. Find: 1 . 1) the x , y , and z components of the resultant force F 1 + F 2 + F 3 ; 1 . 2) the x , y , and z components of force F 4 ; 1 . 3) the angle between the vector forces F 3 and F 4 ; 1 . 4) the vector moment of the force F 3 about the origin O . x y O y = x y = x n n Figure 2: Problem 2 2. The shaded region shown in the figure is bounded by the curves y = x n and y = y = x 1 /n , where n = 3. All the coordinates are in (ft). Find: 2 . 1) the x -coordinate of the centroid of the shaded area; 2 . 2) the y -coordinate of the centroid of the shaded area. a O x b y ± y b ² 2 = x a Figure 3: Problem 3 3. The shaded area, shown in the figure, is bounded by ( y/b ) 2 = x/a and y = b , where a = b =2 m. Find the area moment of inertia of the shaded region about the x -axis. a a 3 a a a a Figure 4: Problem 4 4. The shaded area shown in the figure has the dimension a = 1 in. Find: 4 . 1) the moments of inertia about the centroidal axes of the shaded area I Cxx and I Cyy ; 4 . 2) the centroidal polar moment of inertia of the shaded area; 4.3) the products of inertia about the centroidal axes of the shaded.
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4/29/11 10:43 AM 11exam1_P1 Page 1 of 2 file:///Users/db/Desktop/2110_Spring11/11exam1/11exam1_P1.html % Exam 1 Problem 1 clear all ; close all ; clc; a = 1; b = 1; c = 2; F1 = 10; F2 = F1; F3 = 20; F4 = F3; rA1 = [a, b, c]; rA2 = [0, b, c];
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This note was uploaded on 08/29/2011 for the course MECH 2110 taught by Professor Clark,b during the Spring '08 term at Auburn University.

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11exam1solution - Exam 1. NAME: z A5 A2 F 3 A3 c A1 F 2 F 1...

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