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## Homework Statement

The system in the Figure is in equilibrium. A mass M1 = 230.0 kg hangs from the end of a uniform strut which is held at an angle θ = 48.0° with respect to the horizontal. The cable supporting the strut is at angle α = 29.7° with respect to the horizontal. The strut has a mass of 54.0 kg.

A. Find the magnitude of the tension T in the cable.

B. Find the magnitude of the horizontal component of the force exerted on the strut by the hinge?

C. Find the magnitude of the vertical component of the force exerted on the strut by the hinge?

My visual of how i set it up (sorry is messy did in paint)

## Homework Equations

[tex]\sum[/tex]Fx = 0

[tex]\sum[/tex]Fy = 0

H-T = 0

V- Ws - W = 0

(I called point A the bottom left forgot to label sorry)

[tex]\sum[/tex]TA = T

_{t}T -X

_{s}W

_{s}-X

_{w}W =0

cos phi = X

_{s}/.5L

X

_{s}= L/2 cos phi

X

_{w}= L cos phi

X

_{t}= L sin phi

## The Attempt at a Solution

i got all these equations but im not really sure how to apply this since we have only done vertical and horizontal struts nothing with 2 different angles.