Can we conserve something?

Classical Mechanics Level 5

A block of mass M rests on a frictionless horizontal table at a distance of \(400\text{ mm}\) from a fixed pin \(O\). The block is attached to the pin \(O\) by an elastic cord of a force constant K and undeformed length \(900\text{ mm}\) .

If the block is set in motion perpendicularly, find the radius of curvature in cm when the block is at 1.2 m

Component of velocity along the string vanishes when length is 1.2m Details and assumptions:

  • \(K=100 \text{ N/m}\).
  • \(M=500\text{ g} \).

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