VMI'IJ 



In tl: t 1! , \iii- Example! t ho ordinary Uw of attraction is 

 to bo assumed, unless the contrary be stated. 



1. A 1 i* generated by the revolution of a sector of a 



10 of iu bounding nulii ; tin-l the attraction on a 



particle at the centre. trap Bin 9 ft. 



in of a hemispherical bowl consists of matter 



with a force varying directly a* t! ce; shew 



will rest when placed anywhere on the concave 



. in tin* f.>nn of a parabola is placed with its axis 



al and vertex downwards ; a heavy particle is placed in 



and a n : .rce acts along the ordinate upon 



: he law of force that it may sustain the par- 



ny position. 



>n of a cylinder of uniform density is bounded 

 by a spherical surface, the radius ot s greater than that 



ot' th r, anl the centre coincides with the middle point 



of the base ; attraction on a particle at this poi: 



Result. 27rpa -- - ; where a is the radius of the cylinder 

 radius of the spli 



c resultant attraction of a spherical segment on 

 a particle at its vertex. 



where a is the radius of the sphere and k the height of the 



6. io resultant attraction of a spherical segment on 



a particle at the centre of its base. 



3 \ a ~ n ) 



T.S. 



