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

AI Thread Summary
To calculate the second mass in a static equilibrium problem involving a meter stick supported by a string, the tension in the string and the weights of the objects must be considered. The initial calculation incorrectly omitted the mass of the stick, which is 0.105 kg. The correct equation for the sum of forces should include this mass, leading to a revised calculation. The tension of 21.2 N must balance the weights of both the hanging object and the stick, along with the second mass. Including all forces will yield the accurate value for the second mass required for equilibrium.
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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