HELP!!What is the magnitude of the force by the pin on the beam?
A uniform 120-lb beam is supported in a horizontal position by a pin and cable as shown in the figure***. What is the magnitude of the force by the pin on the beam?
The answer is 75 lb. How was this determined?
***This is the link to the figure:
http://www.scribd.com/doc/18103178/Serway-Physic-Chapter-12
It is problem number 7, and it is on the right hand side (scroll down).
The center of gravity of the beam is at the midpoint, but the cable is supporting it from the far end.
This gives the cable a 2:1 mechanical advantage, meaning that if the cable were vertical instead of angled, the tension would be 60 lbs.
Accounting for the angle, we get:
60 / cos(37) = 75.128
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