# Determine the magnitude of the tension in the clotheline

• stateofdogma
In summary, the conversation discusses a problem involving a clotheline attached to two poles 10 m apart with a pulley and a weight of 294N. Using the given information, the tension in the clotheline is calculated by setting up a right triangle and using the Pythagorean theorem. The correct answer is 1800N, which is half of the calculated answer. The conversation also briefly mentions a separate problem involving burger patties and the force exerted on each other. The solution involves calculating the acceleration and multiplying it by the mass of one patty.
stateofdogma

## Homework Statement

a single clotheline is attached to two poles 10 m apart. A pulley with a mass of 294N/Fg rolls down to the middle of the line. the middle is 0.4 m below each end. Determine the magnitude of the tension in the clotheline.

## The Attempt at a Solution

I have made a right angle triangle and then used the ratios 0.4 and 5 m to find the force of the adjacent side of the triangle. then i use the given 294N and the adjacent 3675N in the pythagorean theorem. i get 3686.74N but the answer is 1800N rounded. which is half of my answer.

Hi stateofdogma, welcome to PF.
Since the pulley is free to move on the cloth line, tension in the two segments of the cloth line must be the same. It θ is the angle between the vertical and the segment, then
2*T*cosθ = mg.
Here cosθ = 0.4/5. mg is given. find T.

Thanks for the homework help.

this is a question which i figured out on my second try. two burger patties, in contact with each other are being pushed across a grill. the masses are 113g and 139g, a force of 0.0538N is used on the larger patty. I figured out the acceleration was 0.213m/s^2 by dividing the force by the masses. But the second part asks for the magnitude of the force exerted by each of the burger on the other. the answer is the acceleration multiplied by the 113g which is 0.0241N. the problem is i don't understand why

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## What is tension?

Tension is a type of force that is created when an object is being pulled or stretched in opposite directions.

## How is the magnitude of tension measured?

The magnitude of tension is typically measured in units of force, such as Newtons or pounds, using a tension or force gauge.

## What factors affect the magnitude of tension in a clothesline?

The magnitude of tension in a clothesline can be affected by several factors, including the weight of the clothes, the distance between the two anchor points, the type and strength of the material used for the clothesline, and any external forces such as wind or gravity.

## How can the magnitude of tension be calculated?

To calculate the magnitude of tension in a clothesline, you will need to know the weight of the clothes and the distance between the two anchor points. You can then use the formula T = mg, where T is the tension, m is the mass of the clothes, and g is the acceleration due to gravity (9.8 m/s^2).

## Why is it important to determine the magnitude of tension in a clothesline?

Knowing the magnitude of tension in a clothesline is important because it can help determine the maximum weight that the clothesline can hold without breaking or becoming too stretched. It can also help prevent the clothesline from sagging too much, which can cause the clothes to drag on the ground or become tangled.

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