Question

A roulette ball weighing 3.75 g moves at 10 rad/sec when first spun around the track. The coefficient of friction between the ball and track is 0.01. The distance from the center of the table to the ball’s track is 242 mm. You want to find how long it will take for the ball to reach 3 rad/s (the point when it rolls down into one of the numbered slots). Follow the steps below to guide you:

a) Draw your FBD and define your coordinate system.

b) Calculate M, Hf, and Ho symbolically and with vectors (i.e. compute your cross-products).

c) Calculate the normal force on the roulette ball.

d) Find how long it takes for the ball to reach 3 rad/s (the point when it rolls down into one of the numbered slots).

Answer 1

Normal force = 0.0367 N

Time taken = 17.28 seconds