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� �� + � �� � N + + � � �� !+ �# � .� � % � & � # �! 7 �% � % � ) !� � " &� + � � "� � " , * !� &� % �+ � # �� F� � &� + � � ! � + ) !� � " "� + � �� " F� "� � � �� &� ! � + " �" �� + � % � � �� � " I 5 > 3 3 Q N + + � N N + + � N + + F� � &� + � � ! � + ) !� � " "� + � �� " F� � �� !+ �# � ! &� # �! 7 �% � % � " ) !� � " "� + � �� " F� � �& � �� ! &� # �! 7 �% � % � " � .� � & � + � � "� � � �� + � �� A 1 1 0 m m y y 1 z1 � + � � � + = �� = A 2 2 A 1 1 A 2 2 A 1 1 d A d A d A y d A y d Ad A y y m m 1 4 , 3 7 1 0 4 0 1 0 1 0 0 5 1 0 4 0 5 0 1 0 1 0 0 y = ⋅ + ⋅ ⋅ ⋅ + ⋅ ⋅ = 3 4 A 2 A 1 1 0 m m 5 0 m m 1 0 0 m m z z1 y 2 z2 y 2 z2y 1 m m 1 4 , 1 2 1 0 4 0 1 0 1 0 0 3 0 1 0 4 0 5 1 0 1 0 0 z = ⋅ + ⋅ ⋅ ⋅ + ⋅ ⋅ = m m 1 4 , 3 7 1 0 4 0 1 0 1 0 0 y = ⋅ + ⋅ = � + � � � + = �� = A 2 2 A 1 1 A 2 2 A 1 1 d A d A d A z d A z d Ad A z z � �� + � �� 1 &� # �8 3 1 0 m m y 1 y 0 z = 1 2 ,1 4 m m 2 2 2 y 1 2 1 y y A a I A a I I 2 1 0 + + + = 2 2 A b I A b I I + + + = � + � # �� % � � # : !& �� � + ! � �� .� � � � � �� � > N � + � # �� % � � # : !& �� � + ! � �� .� � � � � �� � I N 3 5 5 0 m m 1 0 0 m m 1 0 m m z1 a1 b 1 z0 y = 3 7 ,1 4 m my 2 z2 b 2 a2 2 2 2 z 1 2 1 z A b I A b I I 2 1 0 + + + = z 2 2 2 1 1 1 A b a I A b a I I 2 2 1 1 0 0 + + + = z y z y z y 0 0 * !� % � �� % � � # : !& �� � + ! � �� .� � � � " � �� � " I N > N 4 m m 1, 1 4 1 5 2 3 8 0zI = ) 1 0 4 0 ( 2 ) 5 1 4 , 3 7 ( 1 2 3 1 0 4 0 ) 1 0 1 0 0 ( 2 ) 1 4 , 3 7 5 0 ( 1 2 3 1 0 0 1 0 0 zI ⋅ − + ⋅ + ⋅ − + ⋅ = � �� + � �� 1 &� # �8 3 M o m en to d e In ér ci a em r el aç ão a o e ix o y 0 M o m en to d e In ér ci a em r el aç ão a o e ix o z 0 1 0 m m y 1 y 0 3 6 4 m m 1, 2 4 0 2 3 8 0 yI = ) 1 0 4 0 ( 2 ) 1 4 , 1 2 3 0 ( 1 2 3 4 0 1 0 ) 1 0 1 0 0 ( 2 ) 5 1 4 , 1 2 ( 1 2 3 1 0 1 0 0 0 yI ⋅ − + ⋅ + ⋅ − + ⋅ = 4 m m 6, 3 2 1 4 2 8 0z 0 yI − = 1 0 4 0 ) 3 0 1 4 , 1 2 )( 5 1 4 , 3 7 ( 1 0 0 1 0 ) 5 1 4 , 1 2 )( 1 4 , 3 7 5 0 ( 0z 0 yI ⋅ ⋅ − − + ⋅ ⋅ − − − = P ro d u to d e In ér ci a em r el aç ão a o s ei x o s y 0 z0 5 0 m m 1 0 0 m m 1 0 m m z 1 a 1 b 1 z0 z = 1 2 ,1 4 m m y = 3 7 ,1 4 m m y 2 z 2 b 2 a 2
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