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Help with Matrix Multiplication

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Michael
Michael 2011 年 11 月 16 日
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 2011 年 11 月 16 日
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 2011 年 11 月 16 日
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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