Question
Question: If you can change location of the point A on the wall and hence the orientation of the string OA wit...
If you can change location of the point A on the wall and hence the orientation of the string OA without altering the orientation of the string OB as shown in figure -II. What angle should the string OA make with the wall so that a minimum tension is developed in it?
Solution
In this question, as the suspended object is in equilibrium, then all the forces acting on it is balanced. We need to equate both the horizontal and the vertical components of the forces working on the body, then simultaneously solving those equations will give us our desired result.
Complete step by step answer:
From the given diagram, we get that all the forces are balanced;
Let us consider the tension acting on the string OA is TOA , and the tension working on the string OB is TOB.
Equating the horizontal forces acting on the junction point;