RollingCoin
Oct25-09, 07:56 PM
1. The problem statement, all variables and given/known data
See the attached picture for the questions and information. This is actually due today and I haven't gotten all the answers - but it would be good to know how to do everything for when final exams come around. I particularly find (c), (d), (f), and (g) the most difficult.
2. Relevant equations
\dot{\psi} = Precession rate
\dot{\theta} = Nutation rate
p = Spin
Angular momentum:
H_{x}=I_{x}\omega_{x}=I_{o}\dot{\theta}
H_{y}=I_{y}\omega_{y}=I_{o}\dot{\psi}sin\theta
H_{z}=I_{z}\omega_{z}=I\dot{\psi}cos\theta+p
Forced Precession:
M_{x}=\dot{\psi}sin\theta[I(\dot{\psi}cos\theta+p)-I_{o}(\dot{\psi}cos\theta)]
Free Precession:
\dot{\psi}=\frac{Ip}{(I_{o}-I)cos\theta}
See the attached picture for the questions and information. This is actually due today and I haven't gotten all the answers - but it would be good to know how to do everything for when final exams come around. I particularly find (c), (d), (f), and (g) the most difficult.
2. Relevant equations
\dot{\psi} = Precession rate
\dot{\theta} = Nutation rate
p = Spin
Angular momentum:
H_{x}=I_{x}\omega_{x}=I_{o}\dot{\theta}
H_{y}=I_{y}\omega_{y}=I_{o}\dot{\psi}sin\theta
H_{z}=I_{z}\omega_{z}=I\dot{\psi}cos\theta+p
Forced Precession:
M_{x}=\dot{\psi}sin\theta[I(\dot{\psi}cos\theta+p)-I_{o}(\dot{\psi}cos\theta)]
Free Precession:
\dot{\psi}=\frac{Ip}{(I_{o}-I)cos\theta}