A bead in circular motion in space

AI Thread Summary
The discussion revolves around analyzing the motion of a bead of mass m on a circular wire in a spacecraft, considering its initial speed v0 and the effects of kinetic friction. The user attempts to derive the bead's speed over time using the equation fk = m*a and expresses uncertainty about their approach. They seek clarification on the normal reaction force acting on the bead and how it relates to the frictional force. Understanding these forces is crucial for accurately determining the bead's speed at any time t. The conversation highlights the importance of applying physics principles in a microgravity environment.
Lisa...
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Consider a bead of mass m that is free to move on a thin, circular wire of radius r. The bead is given an initial speed v0 and there is a coefficient of kinetic friction us. The experiment is performed in a spacecraft drifting in space. Find the speed of the bead at any subsequent time t.

I did the following:

fk= m*a= m * dv/dt

v(t)= v0 - m * dv/dt

But I bet that is not the answer... Could somebody please help?
 
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What is the Normal reaction on the bead? From that can you find the frictional force?
 
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