COSMOS: Complete Online Solutions Manual Organization System
Chapter 4, Solution 66.
Free-Body Diagram:
Note that the bent rod is a three-force body. D is the point where the lines of action of the three
forces intersect.
(a) The requirement B = C means that the force triangle must be isosceles. Therefore θ = φ .
Which leads to the force triangle shown.
From the geometry it follows that
tan θ = 1
2
or θ = 26.6°
θ = 26.565°
(b) From the force triangle:
2B sin θ = P, or with sin θ =
B=C =
Therefore:
P
=
1
2
5
1
5
5P
2
B=
C=
5P
2
5P
2
26.6°
26.6°