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300 Pages

### Vector Mechanics for engineers Statics 7th - Cap 09

Course: ME 275, Spring 2008
School: UMKC
Rating:

Word Count: 31871

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9.1 Determine PROBLEM by direct integration the moment of inertia of the shaded area with respect to the y axis. SOLUTION At x = a, y = b: b = ka 2 b a 5 2 5 5 or a 2 k = b a2 5 y = x2 or x= b 2 5 y5 dI y = = 1 3 x dy 3 1 a3 6 y 5 dy 3 b6 5 1 a3 b 6 y 5 dy 3 b6 0 5 b Then Iy = 1 5 a3 11 = y5 3 11 b 6 5 0 = 5 a3 11 b5 33 b 6 5 or I y = 5 3 ab 33 PROBLEM 9.2 Determine by direct integration the...

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