OP FORCES OXE FLAKE. 



ince of which from the rail U -- th of the length 



<*)uilibrium. 



Ile*ult. The rod makes an angle of W with the hotboa. 

 :C is a triangular lamina; J/- are the 



idea, and forcee represented br the 

 are applied to the 

 rr.-ultnnt will pass through the 

 centre of described about the triangle. 



' ' are two equal beama connected by a hinge 

 a string joining * // an* : 



is fixed vertically, and a sphere of pven weight and radio* 

 is supported between the two beams: find the pressure of the 

 re on each beam, and the tension of the string. 



Au elliptic lamina is acted on at the extremities of pain 



i jugate diameters by forces in its own plane taxiing 



irds, and normal to its edge: shew that there will be 



rcc at the end of every diameter be 



rtional to the conjugate dinm 



8. A heavy sphere hanps from a peg by a string whose 



length U equal to the radius, and it rests against another 



peg vertically below the former, the. distance between the 



two being equal to the dianv id the tension of the 



cssure on the lower peg. 



and the pressure to half the weight of the sphere. 



Two equal rods without weight are connected at their 



'.y a piu which allows free motion in a vertical 



; ; tin -y >n a horizontal plane, and their upper 



i carries a weight. 



..ill 're At half way between the pin and 

 rends of the rods. 



ular discs with smooth edges, placed on 



tli.-ir Hat rides in the corner between two smooth vertical 



I at a given angle, touch each other in UM 



straight line bisecting the angle. Find the radius of the least 



disc whirl, may be pressed between them without 



to separate. 



