Senior Examination Papers, 1877. xciii 
8. Write a short paper on tho comparative fertilising value of 
Nitrogen in the form of Dried Blood, Shoddy, Rape-cake, Leather- 
refuse, Sulpliatc of Ammonia, and Nitrate of Soda, 
0. Describe a good method of analysing Dissolved Bones, and the 
manner in which the money value of Dissolved Bones and Mineral 
Superphosphate may be ascertained. 
EXAMINATION IN MECHANICS AND NATURAL 
PHILOSOPHY. 
Maximum Number of Marks, 200. Pass Number, 100. 
Thursday, April 19th, from 10 a.m. till lp.m. 
1. Explain a method of finding the centre of gravity of a body, 
which consists of two parts, whose weights and centres of gravity 
(severally) are known. When men raise a long ladder from a hori- 
zontal to a vertical position, one of them will stand upon the lowest 
rung, and hold on. How does his doing so help the others ? 
2. What are the rectangular components of a force ? A string is 
tied by one end to a point on the ground, and pulled with a force of 
lOOlbs. ; the string is observed to be inclined at an angle of 22° 30' 
to the horizon ; what force is exerted by the pull on the point in a 
vertical, and what in a horizontal direction ? 
3. A block of stone 4ft. square and 10ft. high stands on a horizontal 
plane ; it is pulled at top by a force whose direction bisects two of 
its parallel horizontal edges ; for what amount will the force be just 
on the point of making the block topple over ; and what will be the 
magnitude and direction of the total pressure on the ground ? The 
specific gravity of the stone is 2.75. 
4. Show how to find the relation between the power and the weight 
in a single movable pulley, when the parts of the rope supporting 
the pulley are inclined to each other at a given angle. 
If the angle is 135°, and the weight 2 cwts., what is the power ? 
5. What is a foot-pound? When does an agent work with one- 
horse power ? 
A body weighing 1000 lbs. is drawn along a horizontal plane by 
an agent working at the rate of 11,000 foot-pounds a minute, it is 
found to move uniformly at the rate of 2h miles an hour ; what is the 
friction per lb. between the body and the plane ? 
6. Write down the formulas connecting the distance described, and 
the velocity acquired, in a given time by a body whose motion is 
uniformly accelerated. Explain these formulas, without giving a 
formal proof of them. 
