10 Colorado College Studies. 



(Pv ,, „ dv 



results rrom — , 



rdo' do 



results from - (see page 9), 



r^do r 



rd'v ,, „ fZv 



results rrom — . 



dz' dz 



/^ — axis: 



The equation for the forces acting along z is exactly like 

 that for rectangular co-ordinates. 



Spherical Co-ordiiudcs : 

 X— axis: 



—v'r results from centrifugal force clue to v, 



— rs'ni'Ow- results from centrifugal force clue to lo, 



il^n ,. „ du 



— results from — , 

 dr' dv 



2dH 2 u , 2u 



~ results rrom — intlow (see page 11). 



rdr r'^ r 



d-u du , „ du 



-\- cot — — - results rrom — ( see page 11). 



rhlo' r-do rdo 



_2 dr _ 2 I' . ^ results from same cause that produces 

 rdo r centrifugalforce— ?V, (see also 11, 12). 



d'^u 1, „ du 



results from — , 



r'^ sin '^Od(s'- d<f 



_2jlw results from same cause that produces 



?v/cr centrifugal force — ?*sin '■'^?r. 



F— axis: 



2 uv results from combined action of u and v, 



—r sin cos (* iv' results from centrifugal force due to ic, 



(Vv , ^dv ,. „ dv 11 io\ 



r 1-2 — results from r — - (see pages 11, 12), 



dr dr dr 



— ~-\ results from (see pp. \), 11, 12). 



dr r 



di'v ,, „ dv 



results trom , 



rdo' do 



