Problem on motion of a mass on a frictionless surface
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A solid cube of side 2a and mass M is sliding on a frictionless surface with uniform velocity v as in figure (a) (in attached file). It hits a small obstacle at the end of the table, which causes the cube to tilt as in figure (b) (in attached file). Find the minimum value of v such that the cube falls off the table. Note that the moment of inertia of the cube about an axis along one of its edges is 8Ma^2/3. (Hint: The cube undergoes an inelastic collision at the edge.)
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A solid cube of side 2a and mass M is sliding on a frictionless surface with uniform velocity v as in figure (a) below. It hits a ...
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