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Two masses one pulley and one spring

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A mass point  M1 runs, without friction along an horizontal axis parallel to the  x one, drawn towards the point Q on its axis, by a spring of elastic constant K. On the other side, A is connected to a thread of negligible weight which, after being passed into the throat of a pulley, located in C at a distance d from the origin and rotating around its axis in C, is supporting a mass point M2 at the end B  (counterweight). Study the motion of the system. Suppose further that the wire does not creeping on the pulley.

M.S..jpg

two masses one spring system 1.jpg

two masses one spring system 2.jpg

I would be grateful to anyone who would point me to imperfections or mistakes.

I thank you all.


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