ANSWERS. 



Page 17. 



(i) Join the point P to the instantaneous centre (7; the direction 

 ' of motion is perpendicular to CP. 



(3) See Art. 29. 



(4) See Art. 29. With O as origin and a parallel to /as axis of y y 

 _the fixed centrode is (y 2 cxy=a 2 (x 2 +y 2 ), where a is the radius of the 



circle about <9, and c the distance of O from /. 



(6) The fixed centrode is a circle passing through O', O" ; the body 

 centrode is a circle of twice the radius. The path of any point in the 

 fixed plane is in general a limacon of Pascal. 



(8) Consider the initial and final positions of the point of intersec- 

 tion of / and /j. 



Page 28. 



(i) 24 miles; E. 35 S. 



(3) V3- 



(4) 10.7 miles; E. 14! S. 



(6) 2 a cos (<*/2). 



(7) (a) 120; () i6o 4 8'.6. 



(10) Inclination to vertical: (a) n.3j (<) 2i.8; (<r) 45; 

 (d) 6 7 . 4 . 



(n) iojft.j "=2471. 



175 



