Suggestion:
- Here the angular velocity of the dumbbell has two components: Omega about the fixed Z-axis and omega_p about the moving z-axis.
- Form the omega vector from these two components.
- To find alpha, differentiate omega with respect to time. In doing so, recall that dK/dt = 0 and dk/dt = omega x k.
5 comments:
I am having trouble writing K in its vector components. Do you write it in terms of k and i or k and j? Or, am I completely wrong?
From the diagram of the problem, it looks like K lies in the i-k (x-z) plane. Therefore, K should be written in terms of i and k.
Thanks. I did that the first time and I didn't get the right answer. I did it again and it worked.
are the jaws moving at a constant angular velocity? Is that why the term "omega_p_dot*k" is zero?
Unfortunately, the author failed to tell us about the rate of change of omega_p. Without this information, you cannot solve the problem.
When I wrote up the solution (that will be used for grading this problem), I used omega_p = constant and therefore omega_p_dot = 0.
Thanks for reminding me of this. I will make a post on this.
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