MI8CBLULMKOU8 EXAMPLM. 



MI \XEOU8 EXAMPLES. 



I. 1: *>ne nnn of a common balance be longer than the 

 other, *)i< \v tii.it the real weight of any body in the geoi; 

 cal mean between iu apparent weighta at weighed first in one 

 scale and tiien in the 



3. The arms of a false balance are unequal, and one of 



die scales is loaded; a body whose true weight is yiln. ap- 



pears to weigh II' 1L. when placed in one scale, and W Ibs. 



> placed in the other scale; find the ratio of the arms 



and the v ah which the scale is loaded. 



p . -/' WW'-P* 



ffajsjm. ^,_ jj. ; p-r\v~- 



3. A triangular lamina ABC, whose weight is W, is SUA- 

 d by a string fastened at 6'; find the weight v 



inu-t L<- attach.- 1 at />' tii.it tin- vertical tia^i^'h C may Li.-n.xl 



the angle A < 



4. Two equal weights are suspended by a string passing 

 freely over three tacks, whi an isosceles triangle whose 



base is horizontal ; find the vertical angle when the pressure 

 on each tack is equal to one of the weights. Ruwu. 120*. 



i ni form heavy rod, at a given point of which a 

 is attached, is sustained at one end; deter: 



ic force which applied at the other end will 

 keep it horizontal is least. 



/'arc two horizontal levers without weight ; 

 r tulcn I D of one lever rests o: 



a rod without weight suspended by 



two equal parallel strings from the poi that 



P at A will balance a weight \V placed anywhere 

 on the rod //A", provided 



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W~ Alt' 



