If two forces acting along chord* of a curb are in- 

 Tersely proportional t <ths of the chori r*tl- 



vill pa>s one or other of the jv 



traight liaea drawn through the citron i tie* of the 



rests on an ellipse acted on by forces 

 'lie axes of s ami y respectively; 

 position of equilibrium. Kxplain th- case in whicn * - 1. 



A particle is placed on the outer surface of a smooth 



fixed sphere and is a< >y a fix of force lying 



ally nl*. 'mi it 



redly as the distance. Shew that the 

 will rest on any part of the sphere if the weight 'of 



le equals the attraction on it by the fixed centre of force 

 i at a distance c from it. 



18. A particle is place.; surface of an ellipsoid in 



force: 

 vill begin to man. 





a? * s* 



point on the surface -| -I- fa + i - I, where 



attracted by a force to the origin will rest in equi- 

 librium. 



BCD is a quadrilateral inscribe.; .clc, and 



inv.Ts.-iv pr-.j. act along 



; U-s in t tiont indicated rs: shew that 



thrir result. mt arts along the strni 



: the diagonals with the intersection of the tan- 





