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A thin rod (uniform density and thickness) has mass M and length L. It is attach

ID: 1979831 • Letter: A

Question

A thin rod (uniform density and thickness) has mass M and length L. It is attached to the floor at a fixed location by a frictionless hinge. The rod starts at rest, balanced vertically on its hinge end. Use the hinge as the pivot (rotational axis) for ALL of the following questions

Question: What is the Final Angular Veloctiy of the rod just before it hits the floor? Wf = ______?

(Hint: Use conservation of energy) Express final answer in terms of variables L, M, g and mathematical consants and use simplest anlgebraic forms)

Explanation / Answer

Q1: C. unstable equilibrium, otherwise it wouldn't be so difficult to balance Q2: A. zero, otherwise it wouldn't be in equilibrium Q3: A, B, C, & D... not E because rotational inertia is purely a property of mass and shape, and the axis never changed nor did the distribution of mass Q4: A. in to the page. Use the right-hand rule (see picture of girl on bicycle) http://img43.imageshack.us/img43/8656/rh…

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