# Find the tension in each of the cords

• darshanpatelh
In summary, to find the tension in each of the cords suspending a 10 kg mass from a ceiling at angles of 30 and 45 degrees, you can use the sums of forces equations in the x and y directions and solve for the two unknown tensions using a system of equations.
darshanpatelh
tension problem...please help!

## Homework Statement

A mass of 10 kg is suspended from a ceiling by teo cords that make angles of 30 deg an 45 deg with the ceiling. Find the tension in each of the cords?

## Homework Equations

something like t1 cos(30) = t2cos(45)

## The Attempt at a Solution

something like t1 cos(30) = t2cos(45)
please help me with this
thankyou

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What do you know about the net force in the x and y directions?

I would start by writing a sums of forces equation for the x direction and a sums of forces equation for the y direction. From here, see what you can algebraically manipulate to get what you want.

get 2 equations, sum of forces in x, sum of forces in y.

and solve for your 2 unknown tensions by system of equations

## What is the concept of tension?

Tension is the force applied to an object in a direction away from its natural position or resting point.

## How do I find the tension in a cord or rope?

To find the tension in a cord or rope, you need to know the mass of the object being supported, the angle of the cord, and the acceleration due to gravity. You can then use the formula T = mgcosθ to calculate the tension.

## What factors affect the tension in a cord?

The tension in a cord is affected by the mass of the object being supported, the angle of the cord, and the acceleration due to gravity. Additionally, the material and thickness of the cord can also affect the tension.

## Why is it important to know the tension in a cord?

Knowing the tension in a cord is important for understanding the stability and safety of structures or objects that are being supported by the cord. It can also be used to determine the strength and durability of the cord itself.

## Can the tension in a cord ever be greater than the weight of the object it is supporting?

Yes, the tension in a cord can be greater than the weight of the object it is supporting. This can happen when the angle of the cord is less than 90 degrees, causing the tension to increase in order to support the weight of the object.

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