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Answers of Ch 9 hibler statics

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hibbler mechanics statics edition 11th answers for chapter 9
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  Problem 9-76 Determine the location  x  c  of the centroid of the solid made from a hemisphere, cylinder, and cone. Given:   a 80 mm := b 60 mm := c 30 mm := d 30 mm := Solution:V 13   d 2 ⋅  a ⋅   d 2 ⋅  b ⋅+ 23   ⋅  d 3 ⋅+:= x c 1 V 13   d 2 ⋅  a ⋅ 3 a 4 ⋅   d 2 ⋅  b ⋅  ab 2 + ⎛    ⎝  ⎞    ⎠ ⋅+ 23   d 3 ⋅  a b + 3 c 8 + ⎛    ⎝  ⎞    ⎠ ⋅+ ⎡   ⎣⎤   ⎦ ⋅:= x c 105.2 mm =  Problem 9-77 The buoy is made from two homogeneous cones each having radius r.  Find the distance  z c  to the buoy's center of gravity G . Given:r 1.5 m := h 1.2 m := a 4 m := Solution:zc   3 r 2 ⋅  a ⋅ a 4 ⋅   3 r 2 ⋅  h ⋅ h 4 ⋅−   3 r 2 ⋅  a h + () :=  zc 0.700 m =  Problem 9-78 The buoy is made from two homogeneous cones each having radius r.  If it is required that the buoy's center of gravity G be located at  z c ,determine the height h  of the top cone. Given:zc 0.5 m := r 1.5 m := a 4 m := Solution:Guess h 1 ft := Given zc   3 r 2 ⋅  a ⋅ a 4 ⋅   3 r 2 ⋅  h ⋅ h 4 ⋅−   3 r 2 ⋅  a h + () =  h Find h () :=  h 2.00 m =
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