Motion Along a Curved Path


by p_o_o_k_i
Tags: curved, motion, path
p_o_o_k_i
p_o_o_k_i is offline
#1
Oct9-06, 03:41 PM
P: 4
hey guys! this question is a complete mind boggler to me =[

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 vo, and there is a coefficient of kinetic friction uk. the experiment is perfomred in a spaceraft drifting in space. Find the speed of the bead at any subsequent time t.




my work:
i'm assuming that because it's in space, it experiences a drag force? And it requires some sort of integration? And there is centripetal acceleration.
And that's all i know.

It'd be so great if I could get some help! Thanks so much in advance!
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OlderDan
OlderDan is offline
#2
Oct9-06, 04:03 PM
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P: 3,033
Quote Quote by p_o_o_k_i
hey guys! this question is a complete mind boggler to me =[

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 vo, and there is a coefficient of kinetic friction uk. the experiment is perfomred in a spaceraft drifting in space. Find the speed of the bead at any subsequent time t.




my work:
i'm assuming that because it's in space, it experiences a drag force? And it requires some sort of integration? And there is centripetal acceleration.
And that's all i know.

It'd be so great if I could get some help! Thanks so much in advance!
The only "drag" in the problem is from the friction between the bead and the wire. The frictional force is proportional to the normal force, which is the force the wire exerts on the bead to make it follow the circular path. Since the bead slows down, that force will not be constant, so you probably will need to do some calculus.
p_o_o_k_i
p_o_o_k_i is offline
#3
Oct9-06, 05:07 PM
P: 4
thanks so much! at least now i have a idea where to start! =]


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