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A point mass m under no external forces is attached to a weightless cord fixed to...

A point mass m under no external forces is attached to a weightless cord fixed to a cylinder of radius R (which is also fixed). Initially, the cord is completely wound up so that the mass touches the cylinder. A radially directed impulse is now given to the mass, which starts unwinding.

(a) Find the Lagrangian in terms of the coordinate ϕ.

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Answer #1

Since lagrangian = T-V

And it is given that no force is acting this implies that potential energy V =0 and hence the lagrangian contains only T term.

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