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Help with Matrix Multiplication

조회 수: 1 (최근 30일)
Michael
Michael 2011년 11월 16일
I am very confused by this problem, as it seems very vague for me. Not sure where to even start, the problem is this:
Compute the movement of force around the pivot point for a lever. You'll need to use trigonometry to determine the x and y components of both the position vector and the force vector. Recall that the moment force can be calculated as the cross product: Mo = r * F . A force of 200lbf is applied vertically at a position 20 feet along the lever. The lever is positioned at an angle of 60 degrees from the horizontal.
I understand matrix multiplication but I am not sure what this problem is having me find for the r value in the equation. Also is it asking for different angles around the pivot point and where am I getting the values for the position vector and force vector?
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David Young
David Young 2011년 11월 16일
Perhaps it's asking for the moment of the force rather than the "movement"?
To get the values for the position vector and the force vector, it's best to draw a diagram. Then you can just use ordinary trig to get the components.
There doesn't seem to be anything in the question that asks for multiple angles.

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bym
bym 2011년 11월 16일
the r in the equation is the position in x,y,z of the applied force. once you get that you can use
cross(r,f)
to get the moment

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