How Do You Calculate Tension in Strings for a Rotating Ball?

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To calculate the tension in the strings for a rotating ball, one must consider the forces acting on the object, including gravitational force and centripetal force. The mass of the object is 4.05 kg, and it rotates at a constant speed of 6.50 m/s. The tension in the upper and lower strings can be determined using Newton's second law and the equations for circular motion. The discussion highlights the importance of breaking down the forces into components and applying the correct formulas to find the tensions. Understanding these principles is crucial for solving the problem effectively.
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Homework Statement


A 4.05 kg object is attached to a vertical rod by two strings as in Figure P6.11. The object rotates in a horizontal circle at constant speed 6.50 m/s.
http://www.webassign.net/pse/p6-11.gif

(a) Find the tension in the upper string.
(b) Find the tension in the lower string.

I have no idea where to begin. Any thoughts?
 
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Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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