Center Of Mass

Center of Mass Image: http://oregonstate.edu/instruct/exss323/Lecture_06.pdf

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Motion of the Center of Mass ,[object Object],[object Object]

Influences of Body Position ,[object Object],[object Object],[object Object],[object Object],http://oregonstate.edu/instruct/exss323/Lecture_06.pdf

Center of Mass Motion ,[object Object],[object Object],[object Object]

High Jump ,[object Object],[object Object],http://oregonstate.edu/instruct/exss323/Lecture_06.pdf

Center of Mass Equation ,[object Object]

1-D Center of Mass exercise ,[object Object],1 kg 2 kg 4 kg

Center of Mass 3-D ,[object Object]

2-D exercise ,[object Object],1 2 3 121 70 3.4 3 0 140 2.5 2 0 0 1.2 1 y (cm) x (cm) Mass (kg) Particle

Exercise: non-uniform disk ,[object Object],2R R

Non-uniform disk ,[object Object],2R R m NS ? Non-sym m L =m s +m NS 0 Large m s -R Small mass COM Disk

Non-uniform disk ,[object Object],[object Object],2R R

Solid Bodies ,[object Object],[object Object]

Solid Bodies: integrate ,[object Object],[object Object],[object Object]

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