Homework H3.E - Fa22

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DISCUSSION and HINTS

Bar OA has two components of rotation:

• One component of Ω about the fixed J-axis.
• The second component of θ_dot about the moving k-axis.

Write out the angular velocity vector ω in terms of the two components described above.

Take a time derivative of ω to get the angular acceleration α of the bar. When taking this derivative, you will need to find the time derivative of the unit vector k. How do you do this? Read back over Section 3.2 of the lecture book. There you will see: k_dot = ω x k, where ω is the total angular velocity vector of bar OA that you found above.

2 thoughts on “Homework H3.E - Fa22”

1. Michael Solmos says:

So for this problem, since the angle is zero can we assume that Y=y, X=x, and Z=z? Or should we wait until plugging in answers to make these substitutions?

2. George West Wehmann says:

Yes, it also states that the axes are aligned with each other in the problem statement.