Can a vector and its torque cross product be parallel?

[Laurencio]

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[LowlyPion]

Welcome to PF.

Your diagram is a little confusing because the visualization of the moment arms is inconsistent.

The red is shown shorter when in fact it's moment arm is longer 3/2 > 4/5.

If it is in equilibrium then 2*4/5 = x*3/2 ==> x = 16/15

 

[Laurencio]

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[LowlyPion]

I'd go with the numbers as the schematic is merely a visual aid.

 

[Laurencio]

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