(Solution) - A solid cube of wood of side 2a and mass M -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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A solid cube of wood of side 2a and mass M is resting on a horizontal surface. The cube is constrained to rotate about an axis AB (Fig. P11.54). A bullet of mass m and speed v is shot at the face opposite ABCD at a height of 4a/3. The bullet becomes embedded in the cube. Find the minimum value of v required to tip the cube so that it falls on face ABCD. Assume m << M.