Solution-Question 1 in cylindrical coordinates ds2 drho2

Question 1 in cylindrical coordinates ds2 drho2 p2dphi2

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Reference no: EM13370188

Question 1: In cylindrical coordinates (ds)² = (dΡ)² + p²(dΦ)²+ (dz)². Find the non-zero Christoffel symbols and the equations, of the geodesic, for the two dimensional case of move-ment on the surface of a cylinder of radius Ρ = R.

Question 2: The motion of an object of mass m in two dimensions, in the presence of a gravita¬tional field may be determined from the Lagrangian

L = 1/2m (x² + y²) - mgy

Consider the transformation given by

x' = x + α ± βt

y' = y

where α and β are constants. For this system

(a) Show that the transformation is an invariance transformation by finding the function A.

(b) Find the related infinitesimal invariance transformation and calculate SA.

Reference no: EM13370188

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Question 1 in cylindrical coordinates ds2 drho2 p2dphi2

Reference no: EM13370188

Reference no: EM13370188

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