Question

The spring on the firing mechanism below has a spring constant of 1500 N/m and is unstretched when s = 0 m. The arm is pulled back such that s = 0.1 m and released. The ball has a mass of 0.8 kg. The radius of the circular track is 1.5 m. Assume all surfaces of contact to be smooth. Neglect the mass of the spring and the size of the ball.



a) Determine the speed of the ball when ? = 60°, in m/s (7 points)

b) Determine the normal force of the circular track acting on the ball when ? = 60°, in N. (6 points)

c) If we want to keep the ball stay in contact with the track at the top (? = 180°), what is the minimum stretch length of the spring (s, in meters) we need to apply in the beginning? (7 points)

Answer 1

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