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problem11_46

University Physics with Modern Physics with Mastering Physics (11th Edition)

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11.46: a) Denote the weight per unit length as . and ), cm 0 . 8 ( ), cm 0 . 10 ( so , 3 2 1 αl w α w α w α = = = The center of gravity is a distance cm x to the right of point O where 3 2 1 3 2 1 cm ) 2 cm 0 . 10 ( ) cm 5 . 9 ( ) cm 0 . 5 ( w w w l w w w x + + - + + = . ) cm 0 . 8 ( ) cm 0 . 10 ( ) 2 cm 0 . 10 ( ) cm 5 . 9 )( cm 0 . 8 ( ) cm 0 . 5 )( cm 0 . 10 ( l l l + + - + + = Setting 0 cm = x gives a quadratic in , l which has as its positive root
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