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Collars A and B are pinned to the bar that is welded to sphere C A servomotor acting about the pin in collar A applies torque Γ to bar AC with the result that collar A moves downward at a constant

Collars A and B are pinned to the bar that is welded to sphere C. A servomotor acting about the pin in collar A applies torque Γ to bar AC with the result that collar A moves downward at a constant specified speed v. The system rotates freely about the vertical axis, so the precession rate Ω2 is unknown, but the spin rate Ω1 is held at a constant value by another servomotor. The mass m of the sphere is sufficiently large to neglect the inertia of the other parts. Derive a set of equations whose solution would give 2 as a function of time and the corresponding value of Γ.

 

 

 
 
 
 

 

 

Jun 16 2020 View more View Less

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