How Do You Calculate the Second Mass in a Static Equilibrium Problem?

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SUMMARY

The discussion focuses on calculating the second mass in a static equilibrium problem involving a meter stick and two hanging weights. The meter stick weighs 0.105 kg and is supported at its 40 cm mark by a string with a tension of 21.2 N. The first mass is 0.665 kg, and the second mass must be calculated to maintain both translational and rotational equilibrium. The correct calculation includes the weight of the meter stick, which was initially overlooked, leading to an incorrect result of 1.47786 kg.

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jfri14
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Homework Statement


A 0.105 kg meter stick is supported at its
40 cm mark by a string attached to the ceiling.
A 0.665 kg object hangs vertically from the
7.17 cm mark. A second mass is attached
at another mark to keep it horizontal and in
rotational and translational equilibrium.

If the tension in the string attached to the
ceiling is 21.2 N, find the value of the second
mass. Answer in units of kg.


Homework Equations


The acceleration of gravity is 9.8 m/s2
Sum of Forces= 0
Sum of Torques =0


The Attempt at a Solution



Since the sum of the forces =0
21.2N - 0.665kg*9.8m/s2 - x*9.8m/s2 = 0
1.47786 kg

I'm not sure why this isn't right or how to fix it
 
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jfri14 said:

The Attempt at a Solution



Since the sum of the forces =0
21.2N - 0.665kg*9.8m/s2 - x*9.8m/s2 = 0
1.47786 kg
You left out the mass of the stick itself.
 
Got it, thanks so much!
 

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