Finding weight of a beam using torque & equilibrium?

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SUMMARY

The discussion centers on calculating the weight of a uniform beam in equilibrium, suspended by a cord. The beam has a mass of 28N at one end (2m from the cord) and a mass of 10N at the other end (3m from the cord). The correct calculation for the weight of the beam results in 52N, derived from the torque equilibrium equation Tclockwise = Tanticlockwise, leading to the equation (28×2) + 2.5F = 10×3. The solution confirms that the weight force of the beam is indeed 52N.

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chmergatroyd
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Homework Statement


A uniform beam at equilibrium is suspended by a cord at X which is 2m from one end of the beam and and 3m from the other end. There is a mass of 28N attached to the 2m end and a mass of 10N on the 3m end. Determine the weight force of the beam

Homework Equations


Tclockwise=Tanticlockwise. T=Fd.[/B]

The Attempt at a Solution


(28×2)+2.5F=10×3
56+2.5F=30
2.5F=-26
F=-10.4N
The actual answer is 52N[/B]
 
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Welcome to PF!

Be sure you are clear on which point you are choosing as the origin for calculating the torques. The torques for each force must be determined using the same origin.
 
chmergatroyd said:

Homework Statement


A uniform beam at equilibrium is suspended by a cord at X which is 2m from one end of the beam and and 3m from the other end. There is a mass of 28N attached to the 2m end and a mass of 10N on the 3m end. Determine the weight force of the beam

Homework Equations


Tclockwise=Tanticlockwise. T=Fd.[/B]

The Attempt at a Solution


(28×2)+2.5F=10×3
56+2.5F=30
2.5F=-26
F=-10.4N
The actual answer is 52N[/B
 
T
Thanks I just confirmed it and it turns out to be correct. 🙏🏿
 
chmergatroyd said:

Homework Statement


A uniform beam at equilibrium is suspended by a cord at X which is 2m from one end of the beam and and 3m from the other end. There is a mass of 28N attached to the 2m end and a mass of 10N on the 3m end. Determine the weight force of the beam

Homework Equations


Tclockwise=Tanticlockwise. T=Fd.[/B]

The Attempt at a Solution


(28×2)+2.5F=10×3
56+2.5F=30
2.5F=-26
F=-10.4N
The actual answer is 52N[/B]
How will I get 52N
 
got said:
How will I get 52N
Please post your attempt so that we can guide you.
 
chmergatroyd said:
(28×2)+2.5F=10×3
Where does the 2.5 come from?
 
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got said:
How will I get 52N
You are replying to a 7 year old thread. If you have a new question or want to discuss the old problem, please start a new thread and show your work. Thank you. This old thread is now closed.
 

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