NEED HELP A ball swung in a conical pendulum (circular motion?) question.

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Homework Help Overview

The problem involves a conical pendulum where a ball of mass 0.30 kg is swung in a circular motion with a string length of 95 cm and an angle of 22 degrees with the vertical. The poster seeks to determine the ball's speed and the tension in the string.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to establish equations based on a free body diagram, questioning the correctness of their approach. Participants discuss the need to resolve the components of forces acting on the ball, particularly focusing on the tension and gravitational forces.

Discussion Status

Participants are actively engaging with the original poster's attempts, offering insights into the relationships between the forces involved. There is a mix of clarifying questions and suggestions regarding the use of trigonometric functions to analyze the forces. The discussion is ongoing, with no clear consensus reached yet.

Contextual Notes

Some participants note the age of the original post, indicating a potential lack of urgency in the discussion. There is an emphasis on ensuring the correct identification of forces and their components in the context of circular motion.

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Homework Statement



A .30kg ball is swung in a conical pendulum whose length is 95cm. If the string makes an angle of 22 degrees with the vertical, what are (a) the balls speed and (b) the tension in the string

Homework Equations





The Attempt at a Solution



I drew a freebody diagram. do i make an x and y equation. X: ma = -mg
Y: 0 = Fn-mg + Ft

-Ft = Fn-mg I need help to know if that's right? If so what's the next step?

Any help would be greatly appreciated! Thanks
 
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To find x and y components of weight of the ball and tension in the string , you have to use angle 22 degrees. Think about it.
-Ft = Fn-mg
How did you get this one?
 
It was part of my free body diagram I came up with, I assume I did it wrong. mg would still be there right? Would I use a cos20 and sin20 in some equations?
 
Yes. Ft *cos22 balances mg and Ft*sin22 provides centripetal force.
 
Hi man you still need help?
 
It sounds like it must be circular motion. They are asking for the speed of the ball. If the trajectory were anything other than a circle, the speed would be constantly changing, as well as the angle.

What is Fn in your equation? Is it a normal force? There should only be two forces acting. Gravity and Tension. Try to find the centripetal force that causes this circular motion with your force diagram.
 
Hey guys, the original post is two years old. Check the date before you start putting a lot of work into this.
 

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