Finding tension force and and components of a uniform boom

AI Thread Summary
To solve for the tension in the support cable and the components of the reaction force on the boom, a diagram is essential to visualize the forces acting on the system. The problem involves a 1200-N uniform boom at a 55° angle, supported by a cable at a 25° angle, with a 2000-N weight hanging from the top. Key equations include torque and the sum of forces in both horizontal and vertical directions, which must equal zero for equilibrium. Understanding that the cable's tension acts along its length is crucial for accurate calculations. Properly drawing the forces will aid in applying these equations effectively.
kurispice
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Homework Statement



A 1200-N uniform boom at ∅=55° to the horizontal is supported by a cable at an angle θ=25.0° to the horizontal. The boom is pivoted at the bottom and an object of weight 2 000 N hangs from its top.
Find (a) the tension in the support cable and (b) the horizontal and vertical components of the reaction force exerted by the pivot boom.

Homework Equations



\tau=Fd
ƩF_{}x=0
ƩF_{}y=0

The Attempt at a Solution



What I did was start by drawing a diagram of the picture but I don't know how to draw in the force. Your help is appreciated!
 
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welcome to pf!

hi kurispice! welcome to pf! :smile:
kurispice said:
A 1200-N uniform boom at ∅=55° to the horizontal is supported by a cable at an angle θ=25.0° to the horizontal. The boom is pivoted at the bottom and an object of weight 2 000 N hangs from its top.
…
… I don't know how to draw in the force.

"cable" (like "rope" or "string", but unlike "beam" "boom" etc) means that the force must be along the cable :wink:
 

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