Torque multiple choice question needing explanation

AI Thread Summary
When two equal forces act on a hinged object, the torque produced depends on both the distance from the pivot and the angle at which the force is applied. The equation T = r x F indicates that torque is a vector quantity, meaning direction matters. The initial assumption that greater distance always results in greater torque is incorrect without considering the angle of the forces. The correct answer to the question is false, as torque can be equal despite differing distances if the angle compensates. Understanding torque as a vector cross-product clarifies this concept.
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Homework Statement



If two forces of equal magnitude act on an object that is hinged at a pivot, the force acting farther from the pivot must produce the greater torque about the pivot.

a. False
b. unable to decide without knowing shape of object
c. True

Homework Equations



T=rxF


The Attempt at a Solution



My logic told me that a greater distance r from the point of rotation equals a greater torque. The above equation makes this obvious. So I selected true and got marked incorrect, the answer is false. I feel that I was right or the question is misleading at best. Anyone care to weigh in?

thanks.
 
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The expression "r x F" is not simply "distance multiplied times force". Do you see what the difference is?
 
uh, Obviously not. Does it have to do with it being a vector cross-product equation?
 
I think I get it now. Thank you for your generous and abundant guidance.
 
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