Agricultural Education — Examination Papers, 1887. cxxix 
Find, by construction or calculation, how forces of 4 and 3 units 
must act at a point that their resultant may be a force of 2 units. 
3. A uniform rod A B of given weight (100 lbs.) can turn freely 
round a hinge at A ; it rests against a smooth point very near the 
end B ; A B is inclined at an angle of 30'' to the horizon, B being 
higher than A. Show in a diagram how the reactions of the fixed 
point and of the hinge act, and find their magnitudes by construction 
or calculation. 
4. Show in a diagram how to arrange three pulleys into a " system " 
in any one way ; and find, on the usual suppositions, the relation 
between the power and the weight in the system shown in your 
diagram. 
5. Define a foot-pound and a horse-power. 
An engine is required to work with 112 horse-power in order to 
draw a train with a constant velocity of 42 miles an hour ; against 
what resistance does the train move? 
6. A body weighing 50 lbs. moves at the rate of 60 ft. a second ; 
what number of foot-pounds of work is it able to do in virtue of its 
mass and velocity ? (g = 32). If it moves against a constant resist- 
ance of 10 lbs., how far would it move before coming to rest ? 
7. Describe the common siphon, and explain its action. 
Show that it follows from your explanation that water cannot be 
drawn by a siphon from a lower to a higher level. 
8. Define the specific heat of a substance. 
If 3 lbs. of mercury at 100' C are mixed with 1 lb. of ice-cold 
water, and the resulting temperature of the mixture is 9° C, compare 
the specific heat of mercury with that of water, assuming that no heat 
is lost in the process. 
9. Define a crank and a connecting rod. 
If the crank revolves with a constant angular velocity, and one end 
of the connecting rod describes a portion of a straight line passing 
through the centre of the crank ; find, for any given position of the 
crank, the relation between the velocity of that end of the connecting 
rod and the velocity of the end of the crank. 
EXAMINATION IN BOOK-KEEPING. 
Maximum Number of Makks, 200. Pass Numbeb, 100. 
Friday, May lSlJi,from 10 a.m. till 1p.m. 
Journalize and post the following Book-keeping transactions, which 
are supposed to have taken place during the month of January, 1887 ; 
and draw out Trial Balance, Profit and Loss Account, and Balance 
Sheet. 
VOL. XXIII. — S. S. i 
