How Do You Calculate Tension and Compression Forces in Physics?

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To calculate tension and compression forces in physics, the force of gravity is first determined using the mass of 20.4 kg, resulting in a gravitational force of approximately 200 N. The tension in the chain is calculated using trigonometric functions, yielding a vertical component of 534 N. Horizontal resolution gives a compression force of about 495 N. A free body diagram is recommended to visualize the forces involved. The calculations appear correct, providing confidence in the results.
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Find the force of tension in the chain. Determine the force of compression in the support bar. Be sure to include a free body diagram as part of your solution.

Now the only information given is a mass=20.4 kg and the angle 22 degrees.

If anyone could help me with this question, it would be greatly appreciated! THANK YOU SO MUCH in advance!


This is what I attempted to do to find a solution:
Fgravity= mg=20.4*9.8=200N

Then to find the tension I did the following:
Tcos(90-22degrees)-200N=0
0.375*T=200N
T=534N------> this would be our vertical component

Resolving horizontally gives:
x-Tcos(22)=0
x=534N*0.927
x=495N
 
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A figure would be a great help.
 


graph.jpg
 
hopefully your able to see that.. thanks again for taking the time to look at my post!
 
I did not work through your math, but it looks OK. So what is the problem? It looks like you have found your answer.
 
I just wasn't feeling very confident with how I got it, I guess I was just looking for a someone to back me up on it haha thanks!
 

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