( Ixxx ) 
I 
AGRICULTURAL EDUCATION. 
Examination Papers, 1875. 
EXAMINATION IN MECHANICS AND NATUKAL 
PHILOSOPHY. 
Maximum Number op Marks, 200. Pass Number, 100. 
Tuesday, April 13th, from 10 a.m. till 1 p.m. 
1. What is meant by tlie resolution of a force? Show (by con- 
struction or otherwise) how a force can be resolved into two others 
along assigned lines drawn through a point in its line of action. 
Let A and B be two points, to which are fastened the ends of 
threads AC and EC, the former inclined to the vertical through C at 
an angle of 30^, the latter at an angle of 60° on the other side of the 
vertical ; it is known that A C cannot be subjected with safety, to a 
tension of more than 30 lbs., while EC is much stronger ; what is the 
greatest weight that can be safely hung from C ? 
2. What is in general the relation between two forces which are in 
equilibrium on a weightless lever capable of turning freely round a 
hxed fulcrum ? 
If the lever is in a horizontal position, and the forces respectively 
arc of 5 units acting vertically upward, and of 3 units acting verti- 
cally downward, show by a diagram how the forces must act relatively 
to the fulcrum, and ascertain the amount and direction of the pressure 
on the fulcrum. 
3. Two iron rods (of equal uniform section) APE and CPD, G ft. 
and 8 ft. long respectively, lie across one another so that the angle 
APC is 45" ; PB and PD are each 2 ft. long ; find the centre of 
gravity of the two rods. 
4. What is meant by the horse-power of a steam-engine ? 
If a plough worked by an engine of 20 horse-power cuts four 
furrows 1000 yards long in G min., what is the average force exerted 
by each ploughshare against the soil ? 
5. What is meant by the accclerative effect of a force ? 
When the accclerative effect of gravity at a certain place is said to 
be 32*2, what is meant by this statement, and what units of time and 
distance does it presuppose ? 
6. A body (P) moves in a circle whoso radius is three times that of 
a circle iu which another body (Q) is moving ; the bodies have equal 
