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I'm not sure if this mechanics question should be in the Maths forum or the physics forum Nevertheless, I apologise first if I have posted in the wrong area

I was wondering if anyone could help me with the following question.

A lamina moves in its own O(x,y) plane. At a certain instant the displacement from one of its points P to another point Q is (-5i+10j). If the velocity of P is (7i-2j) and the velocity of Q has 5 as its x component:

1) What is the angular velocity of the lamina?

2) What is the velocity of Q?

In my notes I have been given the following equation:

[tex]v_Q[/tex] = [tex]v_P[/tex] + [tex]\\omega\\[/tex] + [tex]\\vec{PQ} [/tex]

I've got the information for velocity of P and the displacement but I'm not sure how to express the velocity of Q in vector format? And how to I find the angular velocity? Is it just rearranging the equation for omega?

Please help, thanks!

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# Motion of a lamina

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