A 1820N uniform boom is suppoted by a cable. The boom is pivoted at the bottom, and a 1100N object hangs from its end.
The boom has a length L=13 m and is at an angle of 48 degree above the horizontal. At support cable is attached to the boom at a distance of .77L from the foot of the boom and its tension is perpendicular to the boom.
Find the tension in the cable holding up the boom.
The Attempt at a Solution
1100N * L * cos(48)
+ 1820N* 0.5L * cos(48)
- T * 0.77L
Since L is not relevant in this equation you can just cancel it out.
I got answer to be
which of course is wrong.
Could you please them me what I am doing wrong.