- #1
klandestine
- 16
- 0
I've attached a picture of the problem I am referring to.
The pulley is placed so that the string makes a 45.0-degree angle with the beam. The beam is uniform, 5.00 meters long, and has weight [tex]w_{b}[/tex]. The professor stands 2.00 meters from the pivot point and has weight [tex]w_{p}[/tex].
First, I am asked to find the tension in the string (in terms of [tex]w_{b}[/tex] and [tex]w_{p}[/tex]).
I started off by drawing a free body diagram. At the center of mass (which I found to be ([tex]\frac{5}{2}[/tex][tex]w_{b}[/tex]+2[tex]w_{p}[/tex])/([tex]w_{b}[/tex]+[tex]w_{p}[/tex]), I have a force downward equal to [tex]w_{b}[/tex]+[tex]w_{p}[/tex].
I also labeled both sections of the string as T (the first T vector is pointing straight up, and the second is pointing northwest)
I am unsure about these, but I suppose there is a normal force coming from the wall (horizontal) as well as a force of static friction pointing up.
Also, I am assuming that the pivot point is the point where the beam touches the wall.
So far, do I have the right idea?
The pulley is placed so that the string makes a 45.0-degree angle with the beam. The beam is uniform, 5.00 meters long, and has weight [tex]w_{b}[/tex]. The professor stands 2.00 meters from the pivot point and has weight [tex]w_{p}[/tex].
First, I am asked to find the tension in the string (in terms of [tex]w_{b}[/tex] and [tex]w_{p}[/tex]).
I started off by drawing a free body diagram. At the center of mass (which I found to be ([tex]\frac{5}{2}[/tex][tex]w_{b}[/tex]+2[tex]w_{p}[/tex])/([tex]w_{b}[/tex]+[tex]w_{p}[/tex]), I have a force downward equal to [tex]w_{b}[/tex]+[tex]w_{p}[/tex].
I also labeled both sections of the string as T (the first T vector is pointing straight up, and the second is pointing northwest)
I am unsure about these, but I suppose there is a normal force coming from the wall (horizontal) as well as a force of static friction pointing up.
Also, I am assuming that the pivot point is the point where the beam touches the wall.
So far, do I have the right idea?