1-5. For the system shown, assume that the end of the cord at  is pulled down with a speed of .

(1)  determine the speed of block.

(2)   If , what is the probability that the velocity of the block greater than 1.5 m/s ?

Solution

(1)   

 

The time derivatives of the equations are

Eliminating , we obtain

 

So we have

                                                                                                  Ans.

 

(2)  When

                    

               

                                                                                Ans.