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Classical Mechanics Level 5

In the new ideal isolated system, there is a thin, uniform, heavy, string going around three pulleys as shown above.

If the pulley suddenly due to some reason slips out of the pulleys, how can its further motion be described?

Details and Assumptions

  • Neglect gravity.

  • Air resistance is to be ignored.

  • The string is inelastic.

This Question is Original
It will form some shape according to the forces acting at the point of slipping. It will form an ellipse that keeps on inter-changing its major and minor axis. It will be in the same shape as it was initially, due to some reason which can't be explained here! It will form a circle, so that it will have least energy.

Kishore S. Shenoy by Kishore S. Shenoy , 22, India

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1 solution

Abhijeet Verma
Jul 27, 2016

The foce which keeps the chains in the shape is tension, which will still remain, thus the chain will remain in the same shape.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Yes, force is due to the velocity of the chain and has nothing to do with radius of curvature of chain. And since there is no external force, there is no change of velocity and thus force remains and so shape remains.

I've seen this problem before, not actually original.

Kushal Patankar - 4 years, 3 months ago

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