How Can Torque Determine the Weight of an Unknown Object?

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Torque can be used to determine the weight of an unknown object by balancing moments around a pivot point. In this scenario, a 10.0 m pole weighing 20.0 N has its center of gravity located 2.00 m from one end, with an unknown weight hung at the opposite end. The pole balances 2.00 m from the unknown weight, allowing for the application of the torque equation T = F * R. By setting the torques equal (T1 = T2), the equation F1 R1 = F2 R2 can be used to solve for the unknown weight. The calculations lead to the conclusion that the weight of the unknown object can be determined through these principles of torque and balance.
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1. Homework Statement
Torque is used to determine the weight of an object. A 10.0 m long pole weighing 20.0 N has its center of gravity 2.00 m from one end. An object of unknown weight is hung at the end opposite the center of gravity. With the object hanging at this end, the pole now balances 2.00 m from the unknown weight. What is the weight of the unknown weight? 2. Homework Equations
T = F * R3. The Attempt at a Solution
T = 20 * 2
= 40 ?
 
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T_1=T_2

F_1 R_1=F_2 R_2

Solve for F_2
 

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