4.10 by Paul is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

# 4.10

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4.10 by Paul is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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When finding the velocity at point O, could we have instead used the velocity at E (v) and the position vector from E to O? Thanks

Yes! would work fine!

This is the exact same problem from the 11th edition

How do we know the angular velocity vector is in the negative k direction and not positive?

At the onset of the problem we don't

knowanything about the direction of the angular velocity. What I did in this problem (and other planar rotation problems) isassumea direction of rotation, and let the numbers tell me if I'm right or wrong. In this problem there are no numbers, but if you can see based on the math that the actual direction of the angular velocity of the body will be dependent on the quantities for and .