Question

5) [ 20 pts ] Consider that you are playing a game of marble run with some friends, and a small marble comes out of the track, rolls across the

table with constant speed, and falls off the edge.Just at the edge, as the marble rolls off the table, you measure the speed of the marble to be 1m/s. Note that after leaving the table, you can neglect any effect of air resistance on the motion of the particle. Assuming t = 0 at point O shown in the figure, please find the ( a ) moment and ( b ) angular momentum of this marble at t = 0.3 seconds relative to the origin point at O. Note that the mass of a standard glass marble is 6 grams, and since it is small you can accurately treat it as a point particle for the purpose of this problem. (Hint: even though a central force is acting on the marble, the angular momentum here is not necessarily conserved since the origin is not at the center of the earth!)

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