What are the forces involved in circular motion on a rotating pole?

AI Thread Summary
The discussion revolves around a physics problem involving a bead sliding on a string attached to a rotating pole. Key forces at play include gravitational force, tension in the string, and normal force, which need to be analyzed in both horizontal and vertical components. The user is attempting to calculate the tension in the string and the speed of the bead at point B, using relevant equations of motion. A geometric approach is suggested to determine the lengths of the string segments and the angle at point B. The conversation emphasizes the importance of breaking down forces to solve for the unknowns effectively.
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Homework Statement



17. A 100 g bead is free to slide along an 80 cm long piece
of string ABC. The ends of the string are attached to a
vertical pole at A and C, which are 40 cm apart. When
the pole is rotated about its axis, AB becomes
horizontal.
a. Find the tension in the string.
b. Find the speed of the bead at B.

Homework Equations



F=ma
a=v^2/r

The Attempt at a Solution



Using X^2 + (40)^2 = (80 - x )^2, I got 30 and 50 for the lengths of the two parts of the string. Now I am stuck on how to break the Forces into x and y components.
 
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Greetings and welcome! Think about all of the forces on the point B. There's horizontal tension, there's tension up-and-to-the-side, and there's the force of gravity on the bead. Break these forces into their horizontal and vertical components by finding the angle made at point B.
 
Ok, so... All the forces acting on the system are: gravitational force, tension in the 2 strings, which can be broken into their horizontal and vertical components. Theres normal force, right?
 
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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