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

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SUMMARY

The discussion centers on the forces involved in circular motion for a bead sliding along a string attached to a rotating pole. The problem involves calculating the tension in the string and the speed of the bead at point B. Key equations used include F=ma and a=v^2/r, with the participant breaking down forces into horizontal and vertical components to analyze the system. The forces acting on the bead include gravitational force and tension from the strings, which must be resolved to understand the dynamics at play.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with circular motion concepts
  • Ability to resolve forces into components
  • Knowledge of basic trigonometry for angle calculations
NEXT STEPS
  • Study the principles of circular motion in physics
  • Learn how to resolve forces into horizontal and vertical components
  • Explore the concept of tension in strings and its applications
  • Investigate the relationship between speed, radius, and acceleration in circular motion
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Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for practical examples of force analysis in rotational systems.

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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. there's normal force, right?
 

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