104 



MISCELLANEOUS EXAM 



( J. /, can turn in a hori- 



1 plane about its middle point. .A :,d a stri: 



tied which passes over a iixed pully, vertically alx>ve that 

 at a distance I IP-IM it, and is thru lastcn.-d to a 

 weight. I n tunir.l through an angle 0, 



and kept at rest in that position by a hnri/mital l-nre /' pet- 

 pendieular to the rod through its other end. Trove t'.. 

 will be a maximum if 



4 e 



10. Prove that a system of forces can be reduced in an 

 infinite number of ways to a pair of equal forces, whose : 

 tions make any assigned anirle with one another; and find 

 the distance between these forces when the angle is given. 





