a) Obtain Lagrange's equation of motion by any method for conservative system.
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The Lagrangian is L = T −V = m ˙y2/2−mgy, so eq. (6.22) gives ¨y = −g, which is simply the F = ma equation (divided through by m), as expected.
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The Lagragian is L= T -- V =m which this equation gives a correct answer
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