Calculating Tension of Rope with Parallel Forces

In summary, the conversation discusses a problem involving parallel forces and finding the tension of a rope attached to a meterstick with two weights. The solution involves converting weights to Newtons and finding the center of gravity of the system. It is also mentioned that a previous calculation error was made but has since been corrected.
  • #1
schang
3
0
[SOLVED] parallel forces

A uniform 2.50-N meterstick is hung from the ceiling by a single rope. A 500.0-g mass is hung at the 25.0-cm mark and a 650.0-g mass at the 70.0-cm mark. (a) what is the tension of the rope? (b) where is the rope attached to the meterstick?Well, first I converted all the weights into Newtons and then added 1.25 N at the 50 cm mark to account for the mass of the meterstick. But...

How can I find the tension of the rope if I don't know where it is? Even if I place the pivot point at the rope, I can't calculate the torques of the other forces because I don't have the torque arms...
 
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  • #2
Hello,

If the system is in equilibrium (the meter stick isn't tipping over to one side) then you do know where the rope is-- it must be at the center of gravity of the meter stick+weights system. You don't need to have the torque arms to calculate the force gravity is imparting on the weights.

Do you know how to calculate where this is on the stick? Also, what was the reasoning behind adding 1.25 N, as opposed to 2.50 N?
 
  • #3
oh my mistake, i did that on my work, i don't know why i wrote that.
i've got it now, thanks!
 

FAQ: Calculating Tension of Rope with Parallel Forces

What is tension?

Tension is a force that is transmitted through a rope, string, or cable when it is pulled tight by forces acting from opposite ends.

How do you calculate tension in a rope with parallel forces?

To calculate the tension in a rope with parallel forces, you need to add up all the forces acting on the rope in the same direction and then divide by the number of ropes. This will give you the tension in each individual rope.

What are parallel forces?

Parallel forces are two or more forces that are acting in the same direction, either pushing or pulling on an object.

What is the difference between tension and weight?

Tension is a force that is transmitted through a rope or cable, while weight is a force that is caused by the gravitational pull of the Earth on an object. Tension can act in any direction, while weight always acts downwards.

How does the angle of the ropes affect the tension?

The angle of the ropes can affect the tension by increasing or decreasing the amount of force needed to keep the ropes in place. The smaller the angle, the greater the tension needed to hold the ropes in place. This is because the force acting on the ropes is spread out over a larger area, increasing the overall tension.

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