Small bead - Circular loop Problem

AI Thread Summary
The problem involves a small bead fixed on a circular loop of radius R, which is rotating about an axis with constant angular acceleration α. The bead remains in circular motion and does not slide along the loop. The discussion suggests that the solution can be approached as a kinematics problem without the need to analyze forces. The key focus is on determining the acceleration of the bead at a specific time 't'. Understanding the relationship between angular acceleration and linear acceleration is essential for solving this problem.
Albinjijo
Homework Statement
A small bead is fixed on a circular loop of radius R as shown in the figure below. The
loop is rotating about YY axis with constant angular acceleration ‘α’. The loop starts
from rest, then, the bead is in circular motion, then acceleration of the bead at instant
‘t’ is_______.
Relevant Equations
Angular Acceleration equation
Homework Statement: A small bead is fixed on a circular loop of radius R as shown in the figure below. The
loop is rotating about YY axis with constant angular acceleration ‘α’. The loop starts
from rest, then, the bead is in circular motion, then acceleration of the bead at instant
‘t’ is_______.
Homework Equations: Angular Acceleration equation

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MY ATTEMPT

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Albinjijo said:
Homework Statement: A small bead is fixed on a circular loop ...

If I'm interpreting the problem correctly, then the bead cannot slide along the loop. It is fixed at point P. So, I think this is just a kinematics problem. No need to consider forces.
 
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