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Theo_Mech_Lecture3

# Theo_Mech_Lecture3 - Review of Last lecture Dot product and...

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10/3/10 Theoretical Mechanics by Haimin Yao Dot product and cross product Cartesian coordinate system Equilibrium condition of a particle Moment of a force, moment of a couple Resultant of a force and couple Review of Last lecture 11

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Click to edit Master subtitle style 10/3/10 Theoretical Mechanics Lecture No.3 By Dr. Haimin Yao Sep. 19, 2010 22
10/3/10 Theoretical Mechanics by Haimin Yao Reduction of distributed loading x z PR O d p ( x ) x z O L 33

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10/3/10 Theoretical Mechanics by Haimin Yao Equivalent Force Magnitude of resultant force of distributed loading ( 29 dx x p P L R = 0 Location of the resultant force (equal moments) = O RO M M Moment of resultant force Moment of distributed loading ( 29 = dx x xp d P L R 0 ( 29 ( 29 ( 29 dx x p dx x xp P dx x xp d L L R L = = 0 0 0 44
10/3/10 Theoretical Mechanics by Haimin Yao example N 160 60 2 0 2 = = dx x P R Obj105 p ( x )=60 x 2N/ m x z O 2 m 55 p ( x )=60 x 2N/ m x z O 2 m d

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10/3/10 Theoretical Mechanics by Haimin Yao Weight and the center of gravity Gravitational forces can be reduced
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