ENME664_February_1_2010

ENME664_February_1_2010 - GYROSCOPE r : radius of the disk....

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123 , , : mutually perpendicular unit vectors fixed in reference frame . A aaa , , : mutually perpendicular unit vectors fixed in reference frame . B bbb : radius of the disk. r GYROSCOPE GYROSCOPE P : a point on the periphery of the rotor Three reference frames A , B , and C . (source: Kane, 1961)
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/        A AP O AA d dt vp pp : radius of the disk. r  12 3 13 cos sin sin cos cos s i nc o s s i ns i n  A A r r pa a a a (source: Kane, 1961) GYROSCOPE: Kinematics GYROSCOPE: Kinematics   / 3 ˆˆ ˆ sin sin cos sin cos  PO rr a a
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  / 1 2 ? A PO BC AB d dt b b r : radius of the disk. r (source: Kane, 1961) GYROSCOPE: Kinematics GYROSCOPE: Kinematics   / 32 sin cos   rb b p r   / 12 3 sin sin cos sin cos  r pa a a r Transport Theorem: Example
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/        A AP O AA d dt vp pp : radius of the disk. r (source: Kane, 1961) GYROSCOPE: Kinematics
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ENME664_February_1_2010 - GYROSCOPE r : radius of the disk....

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