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Unformatted text preview: yindeemark (rry82) Homework 12 chelikowsky (59005) 1 This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Assume: A bullet of mass m and cube of mass M undergo an inelastic collision, where m M . Note: The moment of inertia of this cube (with edges of length 2 a and mass M ) about an axis along one of its edges is 8 M a 2 3 . A solid cube is resting on a horizontal sur- face. The cube is constrained to rotate about an axis at its bottom right edge (due to a small obstacle on the table). A bullet with speed v min is shot at the left-hand face at a height of 4 3 a . The bullet gets embedded in the cube. 2 a M mvectorv min 4 3 a M g Find the minimum value of v min required to tip the cube so that it falls its right-hand face. 1. v min = m M radicalbigg 5 g a parenleftBig 2 1 parenrightBig 2. v min = M m radicalbigg 3 g a parenleftBig 2 1 parenrightBig 3. v min = m M radicalbigg 2 g a parenleftBig 2 1 parenrightBig 4. v min = m M radicalbigg 3 g a parenleftBig 5 1 parenrightBig 5. v min = m M radicalbigg 3 g a parenleftBig 3 1 parenrightBig 002 10.0 points If you walk along the top of a fence, why does holding your arms out help you to balance? 1. Your momentum is decreased. 2. Your rotational inertia is decreased. 3. Your rotational inertia is increased. 4. Your momentum is increased....
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