Calculate minimum speed of an object in circular motion

AI Thread Summary
To calculate the minimum speed (vmin) of an object in circular motion at point z without breaking the string, a force diagram should be drawn to identify the forces acting on the object. The key forces to consider are tension (T) and weight (w), which must be balanced to maintain circular motion. Since both forces act in the same direction at point z, it's crucial to express vmin in terms of these variables. The calculation of tension (T) is also necessary, particularly if the motion is horizontal. Understanding these relationships is essential for solving the problem effectively.
johnarma
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Homework Statement



Picture of my object
http://img147.imageshack.us/my.php?image=circlekz1.png
How do i calculate the least amount of speed ( aka vmin) an object has at point z without breaking the string or making it go slack. I also need to show how I got it.

There should be little to no numbers used. This is mostly variables and in putting vmin on one side and showing how i got there.

Homework Equations





The Attempt at a Solution

 
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johnarma said:

Homework Statement



Picture of my object
http://img147.imageshack.us/my.php?image=circlekz1.png
How do i calculate the least amount of speed ( aka vmin) an object has at point z without breaking the string or making it go slack. I also need to show how I got it.

There should be little to no numbers used. This is mostly variables and in putting vmin on one side and showing how i got there.

Homework Equations



The Attempt at a Solution


Welcome to PF.

Draw a force diagram and identify what forces at z need to be in balance to satisfy the minimum speed.
 
the only 2 forces are t and w but those are going in the same direction, there is no force in an opposing direction!
 
johnarma said:
the only 2 forces are t and w but those are going in the same direction, there is no force in an opposing direction!

And what again is the "T"?

How do you calculate T if it was horizontal?
 

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