- #1
StaticWaffles
- 8
- 0
Homework Statement
A rod of negligible mass is supported by a hinge at the wall by a horizontal wire fastened at a 30 degree angle one-third of the way along the rod. A weight of 12 N hangs from the left end of the rod.
a) Find the tension (T) in the horizontal wire. (T = 62.2 N)
b) Find the magnitude and direction of the force that the hinge exerts on the end of the rod. (FH = 63 N, 11 degrees NW)
Homework Equations
Sum of the Torques clockwise = Sum of the torques counterclockwise (ETcw = ETccw)
Basic trig like sin, cos and tan.
The Attempt at a Solution
I solved a) already.
(Tcos60*1/3d) = (12cos30*d)
(T*0.1666666) = (10.39230485)
T= 62.3 N
(Here is a picture of the diagram; it's not very clear)
http://twitpic.com/bzeo8w
The angle the wire makes with the rod is 30 and the angle the weight makes with the rod is 60.
Question b) however I am completely stuck on, it would be great if someone could explain how to do it step by step.
http://twitpic.com/bzeo9g
I tried to find FHy and FHx however nothing made sense to me and I've spent three hours on this.