Circular motion: ring on string

• Faiq
In summary, the conversation discusses a problem involving finding the constant of half with the tangent of an angle and determining the total force acting on a ring in the y-axis. The solution is found by calculating ##T(1+\cos{a})-mg## and posting one's work.
Faiq

F = mw^2r
[/B]

The Attempt at a Solution

For part a, I can't get the constant of half with the tan a
I am getting tan a = w^2l/g

Delta2
Post your work. What force do you use to compensate ##mg## ?

Faiq said:
For part a, I can't get the constant of half with the tan a
I am getting tan a = w^2l/g
Show how you got that.

Think carefully what is the total force acting in the y-axis on the ring. Its not ##T\cos{a}-mg## as you probably think. It is rather ##T(1+\cos{a})-mg## (why??)

I did it thanks guys

BvU

1. What is circular motion?

Circular motion is the movement of an object along a circular path, where the object maintains a constant distance from a fixed point. This type of motion can be seen in many natural phenomena, such as the orbit of planets around the sun or the rotation of a ferris wheel.

2. How is circular motion related to a ring on a string?

A ring on a string is a simple example of circular motion. When the ring is attached to a string and is swung around, it follows a circular path due to the tension in the string. This tension acts as a centripetal force, keeping the ring moving in a circular motion.

3. What is the difference between centripetal and centrifugal force?

Centripetal force is the force that keeps an object moving in a circular path, while centrifugal force is the apparent outward force experienced by an object in circular motion. In reality, centrifugal force does not actually exist and is only an illusion caused by the inertia of the object.

4. How does the speed of the ring on a string affect its circular motion?

The speed of the ring on a string affects its circular motion in two ways. First, a higher speed will result in a larger radius of the circular path. Second, a higher speed will also result in a stronger centripetal force, which is required to keep the ring moving in a circular motion.

5. What factors can affect the stability of circular motion?

The stability of circular motion can be affected by factors such as the mass of the object, the speed of the object, and the tension in the string. A larger mass or higher speed can make the object more difficult to keep in a circular path, while a higher tension in the string can provide a stronger centripetal force to maintain the circular motion.

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