How Do You Calculate the Tension in a Cable Supporting a Boom at an Angle?

[katiegerster]

Homework Statement

2. A mass M=169 kg is suspended from the end of a uniform boom.The boom (mass=90.0 kg, length=3.60 m) is at an angle θ=68.0 deg from the vertical, and is supported at its mid-point by a horizontal cable and by a pivot at its base. Calculate the tension in the horizontal cable.

Homework Equations

T=mg
T=ma

The Attempt at a Solution

i am not sure how to solve for tension when given an angle. i know i need to use sin(68) somewhere in the problem i am just confused as to where

 

[voko]

This is again a static equilibrium problem. You need a review, I am afraid.

 

[haruspex]

Can you draw the diagram confidently, showing all the forces? What are all the forces (magnitude, direction, line of action - use symbols for unknowns as necessary)? Do you know how to resolve a force at an angle into X and Y components? Can you then write the various force and torque equilibrium equations?