A mass M is suspended by a rope from a rigid support at A as shown in figure. Another rope is tied at the end B, and it is pulled horizontally with a force F. If the rope AB makes an angle θ with the vertical in equilibrium, then the tension in the string AB is:
Let us see the Free body Diagram of the arrangement
For Equilibrium, T Cos θ = Mg and T Sin θ = F ;
As, T Sin θ = F ; T= F/ Sinθ
A flexible chain of weight W hangs between two fixed points A and B at the same level. The inclination of the chain with the horizontal at the two points of support is θ. What is the tension of the chain at the endpoint?
For Equilibrium in vertical direction
2T sin θ = W ⇒ T = W/(2 sin θ) = (W cosec θ) / 2
A block of mass 10 kg is suspended through two light spring balances as shown in figure
Always remember that spring balance measure Tension in the string in form of kg-wt. As tension in the string is 10 kg-wt.
Reading of Both the scales will read 10 kg