m 



>nn rod of Im-th I has its ends Attached to 

 nda of a flexible string without weight of length a ; tin* 

 passed <> rjr small wham 



d hang : position of equilibrium 



parts of the string on opixwie flulc* of the peg are inclined 

 to each other at an angle o. Shew that the cocflicu; 

 <-t ween the string and peg is 



- ('-&' 



Vi 



equal and uniform rods moreable 

 about a fixed hinge at A, <7/ a uniform equal in 



length to AB or AC and of its weight, connects the 



ends B and C\ shew that in the position of equilibrium, the 

 ang! rod makes with the is given 



the cqua 



:ig large compared w ith u 



.vy uniform beam has its extremities attached to 

 i passes round the arc of a ron al circle ; 



:>osition of equilibrium the beam be inclined 

 at an angle of 60* to t; .!. an 1 the portion ot 



contact witli an arc of 270*, shew tha 



coefficient of friction is IOL 



A uniform just circumscribes a given smooth 



.icted by a force varying as the distance to 

 .thin th -ion at any point, sup- 



posing it to vanish at : nearest to the centre of force, 



and shew force at the greatest distance 



^ whole pressure on circle 



I t:.c .-:rm ' 



