Physics

To find the tension in the rope making a 60° angle with the horizontal, we can use the equilibrium conditions for the suspended mass.

 

Given:

Mass () = 25 kg

Weight of the mass () =

Tension in the rope at 45° ()

Tension in the rope at 60° ()

 

Step 1: Resolve the tensions into vertical and horizontal components

1. For (45°):

Horizontal component:

Vertical component:

 

2. For (60°):

Horizontal component:

Vertical component:

 

Step 2: Write the equilibrium equations

The vertical forces must balance the weight of the mass:

Substituting the vertical components:

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