Homework 6
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. )