Homework 7
A cam system is shown in the figure, in which the cam rotates
with a clockwise angular velocity of 
at the instant 
. The angular
acceleration of the cam follows a normal distribution of 
. The surface of the cam
has a shape of a limacon defined by 
. Determine the distribution of 
, which is the
acceleration of the follower rod AB. If the allowable acceleration is 
, the system
fails when the magnitude of is larger than that of 
. Find the
probability of failure of the system.
(Ans. 
)
