A bead slides without friction in a wire that is rotating with an angular velocity ω in the force free space. Write down the Lagrange’s equation of motion and show that the radial velocity and acceleration are given as dr/dt=(ω^2r^2 + C)^1/2 C = constant and ̈r = ω^2r − g sin ωt.

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A bead slides without friction in a wire that is rotating with an angular velocity ω in the force free
space. Write down the Lagrange’s equation of motion and show that the radial velocity and acceleration
are given as

dr/dt=(ω^2r^2 + C)^1/2

C = constant and ̈r = ω^2r − g sin ωt.

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