Homework 9
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. 
)
