1-5. A
block that has a normally distributed weight N is
held in place on an incline by a rope as shown. If the yield stress of the
rope also follows a normal distribution
MPa,
what is the minimum diameter that the rope must have so that the block will not
break free if the probability of failure must be less than 10-4?
Assume
and
are
independent variables and
. Neglect friction.
(Ans.
mm)