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. 
)
