Homework 8
The surface of a cam is expressed by a logarithmic spiral formula , where is in radians. Due to the uncertainty in the manufacturing process of the cam, the coefficient follows a normal distribution of . The cam rotates at an constant angular velocity of . Determine the distribution of the velocity and the acceleration of the point on the cam that contacts the follower rod AB at the instant . If the allowable acceleration of AB is , find the probability of failure of the system.
(Ans. )