|Apr17-11, 12:18 AM||#1|
Gyroscopic motion question?
1. The problem statement, all variables and given/known data
an apparatus consists of bicycle wheels A and B (assume I=mR^2) connected by a long rod with a pivot point at point C. wheel A is .8m away from pivot point, weight 3 kg, and has radius .4m. Wheel B is .8m from pivot point, weighs 2kg, and has radius .5m. Wheel B is spinning at 10 rad/sec clockwise as seen from A, and the entire thing precesses as seen prom above with a period of 2 sec. What is the angular velocity (and direction) of wheel A?
2. Relevant equations
I=mR^2, torque, J
3. The attempt at a solution
After finding the net torque on the system l2m2 (in the out direction) -l1m1 (in the out direction), i plugged numbers in and got 10.78 (out direction) for the net torque.
Then, as derived, it can be seen that J=torque/pi, so you get J=3.43 (out direction). which also equals I_A(omega)_A + I_B(omega)_B which I plugged everything into and got that the angular velocity of A is 3.27 rad/sec in what I'm guessing the counter clockwise direction as seen from B? Am I doing this right? and did I get the right answer?
Thanks in advance!
|gyroscope, gyroscopic motion, torque|
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