Theo_Mech_Lecture2 - 10/3/10 Review of last lecture In the...

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10/3/10 Theoretical Mechanics by Haimin Yao In the SI system the unit of force, the Newton, is a derived unit. The meter, second, and kilogram are base units. Prefixes G, M, k, m, μ , n are used to represent large and small numerical quantities. Dimensional analysis Review of last lecture
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Click to edit Master subtitle style 10/3/10 Theoretical Mechanics Lecture No.2 By Dr. Haimin Yao Sep. 16, 2010
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10/3/10 Theoretical Mechanics by Haimin Yao Dot product θ cos AB = B A A B A B B A = ( 29 ( 29 ( 29 ( 29 a a a a B A B A B A B A = = = ( 29 D A B A D B A + = + Commutative law: Multiplication by a scalar: Distributive law:
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10/3/10 Theoretical Mechanics by Haimin Yao Dot product is useful Calculate the component of a vector in a given direction: F 1 F 1 n 1 n Calculate the projection of a vector on a given plane: F 1 F
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10/3/10 Theoretical Mechanics by Haimin Yao Cross product A B θ sin B A B A = × A B B A × - = × ( 29 ( 29 ( 29 ( 29 a a a a B A B A B A B A × = × = × = × ( 29 D A B A D B A × + × = + × Commutative law not valid: Multiplication by a scalar: Distributive law: B A × A B B A ×
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Theo_Mech_Lecture2 - 10/3/10 Review of last lecture In the...

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