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ME 221 Statics Lecture #15 Section 4.5. Homework #5. Chapter 3 problems: 48, 51, 55, 57, 61, 62, 65, 71, 72 & 75 Due Today. Homework #6. Chapter 4 problems: 2, 4, 10, 11, 18, 24, 39, 42, 43 & 47 Must use integration methods to solve Due Wednesday, October 8. Quiz #4. Monday, October 6.
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ME 221 Statics Lecture #15Section 4.5 Lecture 15
Homework #5 • Chapter 3 problems: • 48, 51, 55, 57, 61, 62, 65, 71, 72 & 75 • Due Today Homework #6 • Chapter 4 problems: • 2, 4, 10, 11, 18, 24, 39, 42, 43 & 47 • Must use integration methods to solve • Due Wednesday, October 8 Lecture 15
Quiz #4 • Monday, October 6 Exam #2 • Friday, October 10 Lecture 15
Last Lecture: • Centroids of Areas & Volumes Lecture 15
Centroid of Composite Bodies • Basic shapes are added together to get the composite centroid • We look these up in Table 4.2 • This table will be supplied on future exams • Problems Lecture 15
y A2 x2 A1 x1 A3 yc y2 = + + x y1 xc x3 y3 Area Centroids This case is representative of line and volume centroids. Divide total area into simple shapes (rectangles, semi-circles) Add up simple shapes Lecture 15
A1 y A2 x2 x1 yc - = x y2 y1 xc May Also Use Subtraction Lecture 15
Composite Centroid of an Area • Geometric center of the area • Summation of the pieces (holes are negative) • Where: Lecture 15
Composite Centroid of a Volume • Geometric center of the volume • Average of the first moment over entire volume • Where: Lecture 15
Examples Lecture 15