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Question 2: (5 points)
A marble is rolling with a constant speed v on a circular
path around a banked track, whose cross-section is
shown in the figure below. The angle of the banked track
is 0, and the distance from the marble to the axis of
rotation is R. Find an expression for v (the magnitude of
tangential velocity vector shown) in terms of R, g, and 0.
****
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Transcribed Image Text:Question 2: (5 points) A marble is rolling with a constant speed v on a circular path around a banked track, whose cross-section is shown in the figure below. The angle of the banked track is 0, and the distance from the marble to the axis of rotation is R. Find an expression for v (the magnitude of tangential velocity vector shown) in terms of R, g, and 0. ****
Expert Solution
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Step 1

Since the ball is rolling we can neglect friction.

 let m be the mass of the ball.

N is the normal force from surface.