# 2-18 - Announcements Midterm 2 is next week Thursday...

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February 18, 2005 Announcements Midterm # 2 is next week! Thursday, February 24th (Covers § 6.4 - 7.8) Start doing practice Midterms. Modification to Week 8 homework: Problems 1, 5, 7, 11, 12 and 15 in § 8.3 are NOT part of the assigned homework. Today § 8.3 Applications to Physics and Engineering: Moments and Centers of Mass. 1

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Consider a system of n particles with masses m 1 , m 2 , · · · , m n located at points x 1 , x 2 , · · · , x n on the x -axis. The center of mass of the sys- tem is located at ¯ x = n i =1 m i x i n i =1 m i = n i =1 m i x i m , where m = n i =1 m i is the total mass of the sys- tem. The sum of the individual moments M = n i =1 m i x i is called the moment of the system about the origin . Note that m ¯ x = M.
Consider a system of n particles with masses m 1 , m 2 , · · · , m n located at points ( x 1 , y 1 ), ( x 2 , y 2 ) , · · · , ( x n , y n ). The moment of the system about the y -axis is M y = n i =1 m i x i , and the moment of the system about the x -axis is M x = n i =1 m i y i .

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