Uniform circular motion question

In summary, The ball of mass m is attached to a vertical rod by two strings and rotates at a constant angular velocity. The force exerted by each string on the ball can be found using Newton's second law and is dependent on ω, m, g, R, and . The minimum angular velocity, ωmin, at which the lower string barely remains taut can also be determined by using the relationship between a, g, T1, and T2.]
  • #1
meowers
2
0
A ball of mass m is attached by two strings to a vertical rod. as shown above. The entire system rotates at constant angular velocity about the axis of the rod.
a)Assuming ω is large enough to keep both strings taut, find the force each string exerts on the ball in terms of ω, m, g, R, and .
b)Find the minimum angular velocity, ωmin for which the lower string barely remains taut.

I have absolutely no idea where to start with this problem.
 
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  • #2
hi meowers! welcome to pf! :wink:

apply good ol' Newton's second law twice, in the horizontal and vertical directions, to find the relationship between a g T1 and T2 …

what do you get? :smile:​
[
 

1. What is uniform circular motion?

Uniform circular motion is a type of motion in which an object moves in a circular path at a constant speed. This means that the object covers equal distances in equal amounts of time.

2. What is the difference between uniform circular motion and non-uniform circular motion?

In uniform circular motion, the speed of the object remains constant, while in non-uniform circular motion, the speed changes throughout the motion. This means that in uniform circular motion, the object moves at a steady pace, while in non-uniform circular motion, the object speeds up or slows down at different points in the motion.

3. What causes an object to undergo uniform circular motion?

An object undergoes uniform circular motion when there is a constant force acting on it towards the center of the circular path. This force is known as the centripetal force and it keeps the object moving in a circular path.

4. How is uniform circular motion related to acceleration?

In uniform circular motion, even though the speed remains constant, the direction of the velocity constantly changes. This results in a change in the velocity, and according to Newton's second law of motion, a change in velocity causes acceleration. Therefore, an object undergoing uniform circular motion experiences acceleration towards the center of the circle.

5. Can an object undergo uniform circular motion without a centripetal force?

No, an object cannot undergo uniform circular motion without a centripetal force. As mentioned earlier, the centripetal force is necessary to keep the object moving in a circular path. Without this force, the object would continue moving in a straight line with a constant speed, rather than a circular path.

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