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1.A bead slides on a smooth rod which is rotating about one end in a vertical plane with uniform angular velocity Omega .form the equation of motion ? 2.A cylinder of radius a and mass m rolls down an inclined plane making an angle teta with the horizontal .find the equation of motion? 3.A bead is sliding on a uniformily rotating rod in a force free space.find the equation of motion? 4.Derive the lagrange's equations of motion of a particle of mass m in a conservative force field in cylindrical co- ordinates? 5. Using Lagrange's method,show that angular momentum about a vertical axis through the point of support of a spherical pendulum is conserved?
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