Homework 10

The motion of the collar on the beam CD is controlled by a motor at A. When the distance between the collar and point D is , which follows a normal distribution of  due to the uncertainty in measurement, the collar moves upward at a velocity of . The length of  also follows a normal distribution of . At this instant the allowable velocity of a point on the cable as it is drawn to the motor is , use FOSM method to find the probability of the system. Assume that  and are independent.

(Ans. )