Angular Velocity, Fractional Loss, Kinetic Energy and Minimum Value
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A uniform solid cube of edge 2a is sliding with velocity v on a smooth horizontal table when its leading edge is suddenly brought to rest by a small ridge on the table. Which dynamical variables are conserved (a) before impact, (b) during impact, and (c) after impact? Find the angular velocity immediately after impact, and the fractional loss of kinetic energy. Determine the minimum value of v for which the cube topples over rather than falling back.
Full solution please. No skipped steps.
Notes needed can be viewed at this link:
http://books.google.com/books?id=0a8dk0eDxgEC&lpg=PP1&dq=kibble%20classical%20mechanics&pg=PA197#v=onepage&q=&f=false
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