2) A solid homogeneous sphere of radius r and mass m rolls without slip on a...

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2) A solid homogeneous sphere of radius r and mass m rolls without slip on a triangular block of mass m, which can slide on a frictionless floor. Use the horizontal translation of the block (to the right) and the rotation angle of the sphere (down the block) as your generalized coordinates. Derive the equations of motion using both the Newton-Euler approach (F=ma) and Lagrange's equations. Show that the solutions are the same. g m2 m 2) A solid homogeneous sphere of radius r and mass m rolls without slip on a triangular block of mass m, which can slide on a frictionless floor. Use the horizontal translation of the block (to the right) and the rotation angle of the sphere (down the block) as your generalized coordinates. Derive the equations of motion using both the Newton-Euler approach (F=ma) and Lagrange's equations. Show that the solutions are the same. g m2 m