Tension of rope attached to basket

In summary, the problem involves two lengths of rope, one 30cm and the other 40cm, attached to a ceiling 50cm apart. The other ends are joined together and attached to a 2kg basket hanging freely. The goal is to determine the tension in each rope using the fact that the acceleration due to gravity is g = 9.8m/s^2. The problem can be solved using vector components and the fact that the net force in the Y and X directions should equal zero. Another important factor to consider is finding the height of the triangular shape formed by the ropes.
  • #1
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Homework Statement



Two lengths of rope, one 30cm long and the other 40cm long, are attached to a
ceiling at a distance of 50cm apart. The other ends of the rope are joined together
and attached to a basket weighing 2kg which hangs freely. Determine the tension in
each rope. (The acceleration due to gravity should be taken as g = 9.8m/s2.)

So it makes a triangular shape. The question needs to be done as an application of a vector but I was sick on the day it was covered in the lecture and never got to make up for it so I am not really sure were to go.

Homework Equations





The Attempt at a Solution

 

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  • #2
this is a static problem. There is no acceleration. so the sum of Force in the Y and in the X direction should cancel eacher other out and equal zero. Go from there. What are the vectorial components of force? How can you relate that to your total net force?
 
  • #3
Another important question, how do you find the hight on this type of triangle. I think you should be able to figure it out.
 

Related to Tension of rope attached to basket

1. What is tension in a rope attached to a basket?

Tension is the force exerted by the rope in order to support the weight of the basket and its contents. It is a pulling force that is transmitted through the rope.

2. How is tension affected by the weight of the basket?

The weight of the basket will determine the amount of tension in the rope. The heavier the basket, the higher the tension in the rope will be in order to support it.

3. What factors can affect the tension in the rope attached to a basket?

The tension in the rope can be affected by the weight of the basket, the length and thickness of the rope, and the angle at which the rope is attached to the basket.

4. Why is it important to consider tension when attaching a rope to a basket?

Considering tension is important because it ensures that the rope is strong enough to support the weight of the basket and its contents. If the tension is too low, the rope may break and cause the basket to fall.

5. How can the tension in the rope be calculated?

The tension in the rope can be calculated using the formula T = mg + ma, where T is the tension, m is the mass of the basket and its contents, g is the acceleration due to gravity, and a is the acceleration of the basket if it is moving.

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