Agricultural Education — Examination Papers, 1875. Ixxxi 
mnsscs and movo with equal uniform velocities in their respective 
circles ; if F is the force acting on P, and / that acting on Q, find the 
relation between F and /, and state exactly how these forces act. 
7. A wooden ball is tied by a thread to the bottom of a vessel ; 
water is poured in till the ball floats but is completely under water ; 
why miist the thread be vertical when the ball is at rest ? 
If the tension of the thread is one-third the weight of tlic ball, 
what is the specific gravity of the ball ? 
8. Explain the action of a common syphon. If the out-flow is to 
be rapid, why must there be a considerable difference in the lengths 
of the legs of the instrument ? 
9. If a pound of water at 40' F. is mixed with a pound of water at 
15C° F., what is the temperature of the mixture '? If a pound of 
mercury at 40' F. is shaken up with a pound of water at 156° F., 
would the resulting temperature be the same as in the former case or 
not? 
What general principle is illustrated by these two cases? 
What is meant by the specific heat of a substance ? 
EXAMINATION IN MENSURATION AND 
SURVEYING. 
Maximum Number op Mabks, 100. Pass Number, 50. 
Tuesday, April 13th, from 2 p.m. till 5 p.m. 
1. A rectangular piece of ground is a ';iuartcr of a mile long and a 
furlong wide ; a border of uniform width is trenched round it so as 
to leave an imbroken area of 10 acres in the middle ; what are the 
length and breadth of this area ? 
2. How many gallons of water can be held in a jDipe a mile long 
and 4 in. in internal diameter ? 
3. How many cubic yards of earth must be dug out in forming a 
ditch 1000 yds. long, 4 ft. deep, and 6 ft. wide at top, and 3 ft. wide 
at bottom ? 
4. A hollow sphere 2 in. thick weighs 218 lbs., when filled with 
the same material as itself it weighs 343 lbs. ; what is its external 
diameter ? and what the specific gravity of the material ? 
5. If a road is inclined at the rate of 3 ft. vertical to 25 ft. horizon- 
tal ; determine its slope in degrees, minutes, and seconds. 
6. A base AB is measured and found to be 725 ft. long ; a distant 
point P is observed and it is found that the angles PAB and PBA are 
respectively 57° 18' and 115° 42' ; determine both by calculation and 
construction, (1) the distances PA and PB ; (2) the perpendicular 
distance of P from the line AB ; (3) the point where the perpendicular 
cuts AB or AB produced ; (4) the area of the triangle ABC. 
