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Q.2

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

The three ropes in are tied to a small, very light ring. Two of the ropes are anchored to walls at right angles, and the third rope pulls as shown. What are and , the magnitudes of the tension forces in the first two ropes?

Magnitude of the tension=

Magnitude of the tension =

See the step by step solution

Step by Step Solution

Step 1 : Tension : 

The pulling force transferred axially by a string, cable, chain, or similar item, or by each end of a rod, truss member, or similar three-dimensional object is known as tension.

Step 2 : Magnitude of the tension  :

The figure depicts a light ring attached by three ropes, two of which are fixed to the walls at right angles.

Using Newton's second law for equilibrium condition in the horizontal direction,

Resolving the components of tension in the ropes in x-direction,

The tension in the first rope =

The tension in the third rope =

The angle made by the third rope with the positive x-axis =

Substitute for and for ,

Hence, the magnitude of the tension is .

Step 3 : Magnitude of the tension  : 

The figure depicts a light ring attached by three ropes, two of which are fixed to the walls at right angles.

Using Newton's second law for equilibrium condition,

Resolving the components of tension in the ropes in y-direction,

Tension in the second rope =.

Substitute for and for ,

Hence, magnitude of the tension is .

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