Free counters!

Wednesday, July 31, 2013

Centroid - Masses, Weights

Category: Algebra, Physics, Mechanics

"Published in Newark, California, USA"

Find the centroid of the following weights: 2 lbs at (3, 0, 1), 5 lbs at (-2, 3, 2), and 9 lbs at (4, 1, 4).

Solution: 

To illustrate the problem, it is better to draw the figure as follows

Photo by Math Principles in Everyday Life

The total weight of the three weights is 





The x value of the centroid is calculated as follows











The y value of the centroid is calculated as follows











The z value of the centroid is calculated as follows











Therefore, the centroid of the three weights is