# We all have done this!

The situation in the question has been experimented my most of us in our childhood, but no one probably thought of this!

There is a thread of mass $$M$$ and length $$L$$ is stretched on a smooth horizontal surface with constant forces acting on either sides of the rope. A sudden movement causes the rope to form a circular loop traveling traveling from one end of the rope, with constant velocity $$v$$.

If:

• $$v$$ is the velocity of the loop.
• $$\ell$$ is the angular momentum of the moving loop about the centre of the loop.
• $$KE$$ is the Kinetic Energy of the loop.

Evaluate $$\large |v| + |\ell| + |KE|$$. Give your answer to 3 decimal places.

Details

• Take $$M = 5kg,~ L = 3m,~F = 7N$$
• Radius of the loop, $$R = 10 cm$$
• There is no gravitational field.

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