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Unformatted text preview: Center of Gravity of a Body: STEPS FOR DETERMING AREA CENTROID 1. Choose an appropriate differential element dA at a general point (x,y 2. Express dA in terms of the differentiating element dx (or dy). 3. Determine coordinates (x , y ) of the centroid of the rectangular element in terms of the general point (x,y). 4. Express all the variables and integral limits in the formula using either x or y depending on whether the differential element is in terms of dx or dy, respectively, and integrate. Note: Similar steps are used for determining CG and CM. EXAMPLE 1 Given: The area as shown. Find: The centroid location (x , y) Example 2 Given: The part shown. Find: The centroid of the part. Solution : 1. This body can be divided into the following pieces rectangle (a) + triangle (b) + quarter circular (c) semicircular area (d) Segment Rectangle Triangle Q. Circle Semi-Circle a b c d...
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This note was uploaded on 10/04/2010 for the course ME 214 taught by Professor Lipovetsky during the Summer '06 term at Cal Poly Pomona.
- Summer '06