A marble of radius R and mass m rolls without slipping in a bowl with radius...

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A marble of radius R and mass m rolls without slipping in a bowl with radius of curvature 5R. (a) Show that the total energy of the system can be written as: Note that E=13mR202-4mg R cos 0. NOTE: Remember that that the potential energy depends on the position of the center of mass of the object. (b) Differentitate the expression for energy, and then find the period of motion for small displace- ments from equilibrium. 0 5R A marble of radius R and mass m rolls without slipping in a bowl with radius of curvature 5R. (a) Show that the total energy of the system can be written as: Note that E=13mR202-4mg R cos 0. NOTE: Remember that that the potential energy depends on the position of the center of mass of the object. (b) Differentitate the expression for energy, and then find the period of motion for small displace- ments from equilibrium. 0 5R