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Vector Mechanics for Engineers: Statics

Sample Problem 7.2

• Using vertical strips, perform a single integration

to find the first moments.

Q

Q

y

x

=

b

=

a

=

x

y

el

2

el

2

b

=

2a

dA =

x

4

4

4

5

x

5

a

0

dA =

a

0

xydx

2

=

a b

=

4

2

ab

=

10

a

0

y

ydx =

2

b

x a

a

0

1

2

2

a

b

x

2

2

x

dx

2

2

dx

© 2007 The McGraw-Hill Companies, Inc. All rights reserved.

5 - 16

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