A mass M is hung with a light inextensible string as shown in figure. Find the tension of the horizontal string.

Step-by-step solution

Let T₁ be the tension in the horizontal string, T₂ be the tension in the slanted string, and T₃ be the tension in the vertical string. For the mass M in equilibrium, the tension in the vertical string is: T₃ = Mg Considering the equilibrium of the knot O, we can resolve the forces in the horizontal and vertical directions. Balancing the forces in the vertical direction: T₂ 45^ = T₃ = Mg Balancing the forces in the horizontal direction: T₁ = T₂ 45^ Dividing the vertical force equation by the horizontal force equatio