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## Homework Statement

This is a question from statics course.

Collar A is connected to a 50lb load on a frictionless horizontal rod. Determine magnitude of P to maintain equilibrium when x=4.5.

Im confused on the concept of Tension

I originally got the answer 11.25 lb like the images below but my solution manual is different.

The solution manual says:

tan alpha= 20/4.5 = 77.3 degrees

sum of F sub X=0

-P + T cos 77.3

P= 50lb (cos 77.3)

= 10.98lb (answer manual)

Is this because the tension in the rope is equivalent to the mass of the hanging weight? Is there a way to solve for 10.98lb using method like the one below ...i.e. adding the vector components and solving for the unknowns? confused. Thanks!

but this one below is what makes sense to me.

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[Broken]

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## Homework Equations

sum of x =0

tan=o/a

## The Attempt at a Solution

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