+ Center of Gravity and Centroid Learning Goal: To be able to find the centroid, center of mass, and center of gravity for lengths, areas, and volumes of simple, uniform objects. The centroid of an object is the object's geometric center. For objects of uniform composition, the centroid is also the object's center of mass. Part A Find the center of mass for a quarter of a uniform sphere in terms of the outside radius of the sphere, R. Express your answers in terms of R separated by commas. You did not open hints for this part. ANSWER: x, y, z= Part B = 2x +4 and y = (2x-3)²+1. Find the centroid for an area defined by the equations y Express your answers numerically in meters to three significant figures separated by a comma. x A 14 12 10- 8 6 4 2 R y=2x+4 -y-(2x-3)²+1 You did not open hints for this part. ANSWER: xy= III Part C As shown, a section of a roller coaster track follows the form of y = (2/3)x1.5. Locate the centroid of the track between x = 0 m and x 2.5m. Express your answer numerically in meters to three significant figures. You did not open hints for this part. ANSWER: = 1.785 m Incorrect; Try Again; 5 attempts remaining 0 0.5 1 -~ x 3 x

+ Center of Gravity and Centroid Learning Goal: To be able to find the centroid, center of mass, and center of gravity for lengths, areas, and volumes of simple, uniform objects. The centroid of an object is the object's geometric center. For objects of uniform composition, the centroid is also the object's center of mass. Part A Find the center of mass for a quarter of a uniform sphere in terms of the outside radius of the sphere, R. Express your answers in terms of R separated by commas. You did not open hints for this part. ANSWER: x, y, z= Part B = 2x +4 and y = (2x-3)²+1. Find the centroid for an area defined by the equations y Express your answers numerically in meters to three significant figures separated by a comma. x A 14 12 10- 8 6 4 2 R y=2x+4 -y-(2x-3)²+1 You did not open hints for this part. ANSWER: xy= III Part C As shown, a section of a roller coaster track follows the form of y = (2/3)x1.5. Locate the centroid of the track between x = 0 m and x 2.5m. Express your answer numerically in meters to three significant figures. You did not open hints for this part. ANSWER: = 1.785 m Incorrect; Try Again; 5 attempts remaining 0 0.5 1 -~ x 3 x

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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