
This problem is very similar to the problems that we looked at in lecture on Monday. The basic steps:
- Attach observer/xyz to dumbbell.
- The angular velocity (omega) of the observer has two components: Omega about the FIXED Z axis, and omega_P about the MOVING z axis: omega = Omega*K + omega_P*k
- The angular acceleration (alpha) is simply the time derivative of the omega vector: alpha = Omega_dot*K + Omega*K_dot + omega_P_dot*k + omega_P*k_dot . The first three terms on the RHS of this equation are zero. For the fourth term use: k_dot = omega x k
- For both parts you will need to convert the K over to i and k to get all components in terms of the same unit vectors. Let us know if you have any question on this conversion.
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