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A particle of mass m is constrained to move on the inside surfaceof a cone of half-angle a, under the influence of constantgravitational force. In the cylindrical coordinates (r, phi, z) theconstraint that the particle is moving on the surface of the coneis given by z=r cot a . [do not use lagrangian mothod)a) Find the net force acting on the particle and derive theequation of motion for r and phi using Newton's 2nd law. Show thatthe angular momentum L is a constant of motion. (use a incylindrical coordinateshttp://mathworld.wolfram.com/CylindricalCoordinates.htmlsee eq 72)b) Find the total energy in terms of r, r dot and LMy attempt:a) I found all the forces acting on the particle and set them equalto the forces I get from using the acceleration in cylindricalcoordinatesso, F(in phi direction) = 0 = m (2(r dot)(phi dot) + r (phidoubledot))F(r) = -N cos a = m( (r double dot - r* (phi dot)^2) [N = normalforce]F(z) = -mg + N sin a = m (z double dot)How should I proceed next ? I have to find the equations of motionfor r and phi.And how should I show that L is a constant of motion?b) I have no idea how to do this part!