How Do You Calculate the Mass of an Asymmetrical Ruler in Equilibrium?

AI Thread Summary
To calculate the mass of an asymmetrical ruler in equilibrium, first identify the forces acting on the ruler, including the weight of the ruler itself and the additional mass placed on it. The torque equation, τ = rFSinθ, is essential for determining the torques about the balance point, which is at the 41.3 cm mark. The torques created by the ruler's weight and the added mass must balance for the ruler to be in equilibrium. By setting the sum of clockwise torques equal to the sum of anticlockwise torques, the mass of the ruler can be calculated. This approach ensures a comprehensive understanding of the forces and torques involved in the system.
Jedijawad
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Homework Statement



Suppose the ruler in procedure 3 is asymmetrical, balancing at the 60.2 cm mark. The ruler is now supported at the 41.3 cm mark, and a mass of 364 g is placed at the 26.2 cm mark. Find the mass of the ruler. The ruler is 1.00 m long.


Homework Equations



Torque=τ=rFSinθ

The Attempt at a Solution

 
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What are the forces acting on the ruler? How large is each and what is its torque about the balance point (discriminating clockwise from anticlockwise)?
 

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