. Advertisement .

..3..

. Advertisement .

..4..

The following article will add knowledge about “** Find an expression for T_{1}, the tension in cable 1, that does not depend on T_{2}**“. Let’s not forget to look at the content!

## Question

A chandelier with mass is attached to the ceiling of a large concert hall by two cables. Because the ceiling is covered with intricate architectural decorations (notindicated in the figure, which uses a humbler depiction), the workers who hung the chandelier couldn’t attach the cables to the ceiling directly above the chandelier.Instead, they attached the cables to the ceiling near the walls. Cable 1 has tension and makes an angle θ_{1} of with the ceiling. Cable 2 has tension and makes an angle θ_{2} ofwith the ceiling.

Find an expression for T_{1}, the tension in cable 1, that does not depend on T_{2}.

## Answer “Find an expression for T_{1}, the tension in cable 1, that does not depend on T_{2}”.

### Balancing of Forces:

If a body has reached equilibrium, then the sum of all forces and torque exerted on it is equal to 0.

......... ADVERTISEMENT .........

..8..

**Answer and Explanation:**

A chandelier of mass m is attached by two cables to the ceiling in a large concert hall. Cable 1 has tension T_{1} and makes an angle θ_{1} with the ceiling. Cable 2 has a tension T_{2} and makes an angle θ_{2} with the ceiling.

......... ADVERTISEMENT .........

..8..

The diagram shows the angles created by the two cables as well as tension when the chandelier of weight *W* was hung from them.

Now, balancing force along the X direction

......... ADVERTISEMENT .........

..8..

Similarly, balancing force along the Y direction

......... ADVERTISEMENT .........

..8..

......... ADVERTISEMENT .........

..8..

=> Value is independent of T_{2} (Answer)

## Last words

Above is the solution of **“Find an expression for T_{1}, the tension in cable 1, that does not depend on T_{2}“**. If you have good solutions or comments, please leave a message.

## Leave a comment