A ball (the yellow one) is bouncing inside a semicircular sheet, the semicircular sheet sets on two wheels. The ball has a mass of m, located at the center of the ball, and mass moment of inertial about center O equal to bo The semicircular sheet has mass moment of inertia about center O equal to so. Note that the sheets mass will not be dansidered in the solution for sake of easiness. R The sheet is always touching the two wheels. When it rotate it will not slip on the wheels. A harmonic moment is applied to the sheet to make it oscillate, and hence the ball will bounce. Use Lagrange's equation to determine the equation of motion of the system