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When s = 0, the spring on the firing mechanism is unstretched. If the arm is pulled back
Chapter 14, Problem 14-81(choose chapter or problem)
When s = 0, the spring on the firing mechanism is unstretched. If the arm is pulled back such that s = 100 mm and released, determine the maximum angle \(\theta\) the ball will travel without leaving the circular track. Assume all surfaces of contact to be smooth. Neglect the mass of the spring and the size of the ball.
Questions & Answers
QUESTION:
When s = 0, the spring on the firing mechanism is unstretched. If the arm is pulled back such that s = 100 mm and released, determine the maximum angle \(\theta\) the ball will travel without leaving the circular track. Assume all surfaces of contact to be smooth. Neglect the mass of the spring and the size of the ball.
Step 1 of 4
Consider the following figure showing the ball at angle \theta on the track:
Here, N is the normal force acting on the ball, \({F_c}\) is the centrifugal force acting on the ball, and mg is the weight of the ball.
Here since at the maximum angle the ball is on the verge of separation from the track so the reaction for acting on the ball will be zero hence,
N = 0