A uniform 10.0 kg beam 3.0 m long is hinged to a wall...Physics problem, Equilibrium!?In the diagram below, a uniform 10.0 kg beam 3.0 m long is hinged to a wall and supported by a horizontal rope...

A uniform 10.0 kg beam 3.0 m long is hinged to a wall...Physics problem, Equilibrium!?

In the diagram below, a uniform 10.0 kg beam 3.0 m long is hinged to a wall and supported by a horizontal rope to make a 40º angle with the wall. A 15 kg mass hangs from the end of the beam. What is the tension in the rope?  

Picture of the diagram: http://i47.tinypic.com/xbid69.jpg

Expert Answers
jeew-m eNotes educator| Certified Educator

Take moments to the beam from the point that is hinged.

Let the tension be T

For equlibrium left hand moments= right hand moments

moment due to tension of the rope = moment due to weight

Tsin50*2 = 15*g*3cos50

          T  = 15*g*3cos50/(2*sin50)

              = 185.2 N

 

So the tension of the rope is 185.2N