# Tension from string upon a rock

• littlkj5
In summary, the question is asking about the ratio of tensions in a string with two 3 kg masses attached at different radii while being rotated at 2 revolutions per second. The hint suggests using proportions to solve for the centripetal forces on the masses. The masses are tied to the same string at each of the two radii.
littlkj5

## Homework Statement

Two 3 kg masses are attached to a string at r1=.5m and r2=1.5m from where the string is held in your hand. You swing them around together at 2 revolutions per second, each of them. The tension holding mass 2 (the distant part of the string) is what fraction of the tension near your hand?

No Idea.

## The Attempt at a Solution

No idea how to figure this problem out.

Welcome to PF.

Are the blocks tied together in some way?

Thanks.

That is all the information I received on the question.
A hint that was given was:[Hint: you can work in proportions without having to numerically solve for either of the centripetal forces required on the two masses]

I read it more carefully. Apparently it is tied to the same string at each of the 2 radii.

What is the force of a single mass at some radius rotating in a circle?

## 1. What is tension from string upon a rock?

Tension from string upon a rock is the force exerted by a string on a rock when the string is pulled tight. This force is directed away from the rock and is caused by the tension in the string.

## 2. How is tension from string upon a rock calculated?

Tension from string upon a rock can be calculated using the formula T = F * sin(θ), where T is the tension, F is the force applied to the string, and θ is the angle between the string and the rock.

## 3. What factors affect tension from string upon a rock?

The tension from string upon a rock is affected by the magnitude of the force applied to the string, the angle between the string and the rock, and the properties of the string such as its length, thickness, and elasticity.

## 4. How does tension from string upon a rock impact the motion of the rock?

The tension from string upon a rock can cause the rock to accelerate in the direction of the tension if the force is greater than the weight of the rock. It can also keep the rock in place if the tension is equal to the weight of the rock.

## 5. Can tension from string upon a rock be used to lift the rock?

Yes, tension from string upon a rock can be used to lift the rock if the force applied to the string is greater than the weight of the rock. This can be seen in situations such as rock climbing, where climbers use ropes to lift themselves up.

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