Why is radius important in tension calculations but not in force components?

[Godawgs94]

A 1130 N uniform boom is supported by a cable perpendicular to the boom, as seen in the figure below.
The boom is hinged at the bottom, and an m = 1870 N weight hangs from its top. Assume the angles to be

= 69.5o and

= 90.0o -

. Find the tension in the supporting cable
Find the x-components of the reaction force exerted on the boom by the hinge (choose to the right as positive).
Find the y-components of the reaction force exerted on the boom by the hinge (choose upwards as positive).

I don't understand why radius is taken into account when calculating tension, but doesn't play a role in calculating the components of force.

 

[axmls]

It would help to see the picture.

 

[Godawgs94]

https://spock.physast.uga.edu/res/brookscole/serway/College_Physics_7ed/Chap08/graphics/serw0822.gifhttps://spock.physast.uga.edu/res/brookscole/serway/College_Physics_7ed/Chap08/graphics/serw0822.gif
sorry, here it is

 

[Godawgs94]

It would help to see the picture.

picture is here

https://spock.physast.uga.edu/res/brookscole/serway/College_Physics_7ed/Chap08/graphics/serw0822.gif

 

[SteamKing]

picture is here

https://spock.physast.uga.edu/res/brookscole/serway/College_Physics_7ed/Chap08/graphics/serw0822.gif

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