Explanation Given information: The centroid of the differential element along y axis is y ˜ . The area of each segment is represented by A . Calculation: Show the triangular plate is divided into five segments as in Figure 1. Calculate the location of the centre of gravity of the shaded area along y axis ( y ¯ ) using the relation. y ¯ = ∑ y ˜ A ∑ A (1) Conclusion: Refer to Figure 1 and use the spreadsheet to calculate the value of y ˜ A for five segments as shown in Table 1. Segment A ( in . 2 ) y ˜ ( in . ) = y 2 y ˜ A ( in . 3 ) 1 2 ( 3 ) ( 3 ) = 18 3 2 = 1

Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (5th Edition)

5th Edition

ISBN: 9780134301006

Author: Russell C. Hibbeler

Publisher: PEARSON

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Chapter 6.2, Problem 45P

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Find the location (y¯) of the plate’s center of gravity G.

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Chapter 6.2, Problem 44P

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Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (5th Edition)

Ch. 6.1 - In each case, use the element shown and specify...Ch. 6.1 - Prob. 1FP Ch. 6.1 - Determine the centroid (x,y) of the area. Prob....Ch. 6.1 - Determine the centroid y of the area. Prob. F63 Ch. 6.1 - Locate the center of gravity x of the straight rod...Ch. 6.1 - Prob. 5FP Ch. 6.1 - Locate the centroid z of the homogeneous solid...Ch. 6.1 - Locate the centroid x of the area. Prob. 61 Ch. 6.1 - Locate the centroid of the area. Prob. 62 Ch. 6.1 - Locate the centroid x of the area. Probs. 63/4

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Find the location ( y ¯ ) of the plate’s center of gravity G .

Solution Summary: The author shows the triangular plate divided into five segments as shown in Figure 1. Calculate the centre of gravity of the shaded area along y axis using the relation.

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Find the location (y¯) of the plate’s center of gravity G.

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Chapter 6 Solutions