Learning Module 16: Centroids (a.k.a.Geometric Centers)Homework1. Find the center of gravity of the triangular body shown. Each sphere weighs 50 lb. Neglect the weight of the connectingbars. 2. Find the center of gravity of the body shown. Each sphere weighs 40 N. Neglect the weight of the connecting bars. 3. A L = 2 ft beam is acted on by the spatially varying load w = -3x2 lb/ft. (Note w is defined positive down so w(x) isnegative for this load.) Find the centroid of the load intensity diagram by using BOTH a horizontal differential element and avertical differential element. You may follow the example Sample Problem 5.4, but you may not substitute for the answer. 2/26/2009MAE206 Centroids Homework…ncsu.edu/…/lm16_homework.html?p… 1/24. In your text, work problem 5.39.5. List the formulas for centroids of circles, rectangles, and triangles. Now memorize them. :)6. In your text, work problem 5.13 (pg. 233).7. Find the geometric center of the thin, uniform plate shown.8. In your text, work problem 5.26 (pg. 235).2/26/2009MAE206 Centroids Homework…ncsu.edu/…/lm16_homework.html?p…
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