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6. A solid cylinder has a mass of M and radius R. If it rolls without slipping on a horizontal surface with a linear

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6. A solid cylinder has a mass of M and radius R. If it rolls without slipping on a horizontal surface with a linear speed of v, how high will it roll up an incline of angle 0? Don't worry about friction. The moment of inertia for a cylinder is (1/2)MR. Express the vertical height in terms of the given variables M, R, v, 0 and g (some might not be used).

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