Torque multiple choice question needing explanation

[wolk]

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.

 

[Redbelly98]

Welcome to Physics Forums.

The expression "r x F" is not simply "distance multiplied times force". Do you see what the difference is?

 

[wolk]

uh, Obviously not. Does it have to do with it being a vector cross-product equation?

 

[wolk]

I think I get it now. Thank you for your generous and abundant guidance.

 

[Nickie]

I would agree with your logic and explanation that a greater distance from the point of rotation does indeed result in a greater torque, as shown by the equation T=rxF. However, in this case, the question is specifically asking about two forces of equal magnitude acting on the object. In this scenario, the distance from the pivot point is the same for both forces, therefore the torque produced by each force would be equal. So, in this particular case, the statement is false. It is important to pay attention to the specific conditions and variables given in a question before determining the correct answer.