Objects in equilibrium hinged platform with cable problem

1. The problem statement, all variables and given/known data
A hinged platform flagpole weighing 500 newtons is supported in the horizontal position by a cable as shown in figure 4.35. Find the tension in the cable and the horizontal and vertical forces at the hinge. Angle ø = 30°

2. Relevant equations
∑F=0
∑T=0
T= F* the lever arm

3. The attempt at a solution
What I did was created the three equations R cos θ -T cos 30=0 for the X forces
where R is the resultant force of the wall acting on the hinge of the beam and T is the tension in the wire. The equation for the Y forces was R sin θ + T sin θ -500=0. Then I made the equation T sin 30 (x) -500 (1/2)(x)=0 for the sum of the torques is zero. My problem is I have four unknowns and only three equations meaning I can’t substitute. What do I do now? The correct answer is T = 500 N and Rx= 433 N Ry= 250 N

http://ift.tt/1lZ63zh

Leave a comment

Your email address will not be published.


*


Show Buttons
Hide Buttons