5. Describe shortly an Atwood's machine, working out the formulæ for finding the acceleration and the tension of the string, and show how the apparatus may be used to find g.

If the masses be each 200 grammes and the rider 15 grammes, find the acceleration and the tension of the string.

6. Find, in terms of the magnitude and direction of the initial velocity, the range on the horizontal plane through the point of projection for an unresisted projectile.

Find the velocity at any point of the path and the level from which it must fall freely in order to acquire this velocity.

7. Show how to find the magnitude and direction of the resultant of any number of forces in one plane acting on a particle.

Find the magnitude of the resultant of forces P, 6P, and 9P, when the second force makes 60° with each of the others.

8. Define a couple and its moment. Prove that two couples in one plane with equal and opposite moments will balance each other.

A thin ring, weighing 200 grammes and of 8 cm. diameter, rests in equilibrium in an inclined position round a vertical post whose circular cross-section has a diameter of 4 cm. The highest point of the ring is caught on a slight projection from the post. Find the reaction between the post and the lowest point of the ring.

9. Define the centre of gravity of a body. If a body be suspended by a string, prove that the centre of gravity is in the same line as the string.

Find the centre of gravity of a plane uniform lamina in the shape of a triangle.

10. Define the mechanical advantage of a lever or other "mechanical power." Find it for a smooth screw in terms of the arm of the "power" and the "step" or interval between successive threads of the screw.

Find the advantage in the case of a system of two movable pulleys, each of the weight raised, when all the strings are fastened to the supporting beam.

11. State the laws of statical friction. If a body be placed on a plane which is slowly tilted until it begins to slide down, find the relation between the inclination at which this takes place and the coefficient of friction between the body and the plane.

A mass of 20 kilogrammes is pushed up a rough inclined plane by a force parallel to the plane. If the coefficient of friction be, and if the base of the plane measure 3 mètres and the height 2, find the work done.

12. Define pressure at a point in a fluid. Prove the law of variation of pressure with the depth in a heavy liquid. A U-tube contains mercury. Sufficient water is poured into one arm to fill 5 cm. of the tube. Find the difference of level between the top of the water and the top of the mercury in the other arm, the specific gravity of mercury being 13.6.

13. Find the magnitude of the resultant pressure of a liquid on a solid wholly or partially immersed in it.

A body whose weight is 500 grammes and whose volume is 450 cubic centimetres is held completely immersed in a liquid of specific gravity 2 by means of a string. Find the tension of the string.

14. Define specific gravity, and show how to find it for a solid lighter than water.

A Nicholson's hydrometer can be sunk in water to the fixed mark by 25 grammes in the upper pan or by 30 grammes in the lower. Find the specific gravity of the weights.

15. Explain the action of the common pump.

Find the difference between the pressures on the upper and the lower surfaces of the piston, if it be 6 mètres above the surface of the water in the well and 5 mètre below the spout.

PRELIMINARY EXAMINATION PAPERS
IN MEDICINE-1900-1901.

ENGLISH.

SATURDAY, 29TH SEPTEMBER 1899, 9 A.M. to 12 NOON. (Eight, and not more than eight, questions are to be answered. 1 and 2 must be answered, with either 3 or 4 and either 5 or 6. The remaining four may be any questions not already answered.) 1. Write an essay, of from two to three pages, on one of the following subjects:

(1) Progress in the Nineteenth Century.

(2) If you wished to emigrate, what country would you choose, and why?

(3) Any one of Shakespeare's plays.

2. Paraphrase:—

On the Death of Sheridan.

The flash of wit, the bright intelligence,
The beam of song, the blaze of eloquence,
Set with their sun, but still have left behind
The enduring produce of immortal mind;
Fruits of a genial morn, and glorious noon,
A deathless part of him who died too soon.
But small that portion of the wondrous whole,
These sparkling segments of that circling soul,
Which all embraced, and lightened over all,
To cheer, to pierce, to please, or to appal.
From the charmed council to the festive board,
Of human feelings the unbounded lord;

In whose acclaim the loftiest voices vied,

The praised, the proud, who made his praise their pride.
When the loud cry of trampled Hindustan
Arose to Heaven in her appeal from man,
His was the thunder, his the avenging rod,
The wrath, the delegated voice of God!

Which shook the nations through his lips, and blazed
Till vanquished senates trembled as they praised.

3. Give some account of four of the following: Boadicea, Dunstan, Becket, Duke Humphrey, Sir Philip Sidney, Strafford, Prior, Marlborough, Lord Chesterfield, Chatham, Wellington,

Sir Robert Peel.

4. Give some account of four of the following: Offa's Dyke, Battle of Brunanburgh, Battle of Sluys, Barons' Wars, Wat Tyler's Insurrection, Statute of Præmunire, Petition of Right, Triple Alliance, Quo Warranto, Septennial Act, Trial of Hastings, Catholic Emancipation.

5. Give the locality, and some circumstances connected with each, of six of the following: Norfolk Island, the Limpopo, Plevna, Ismail, Lake Baikal, the Simplon, Merv, New Orleans, Callao, Badajoz, Manilla, the Seychelles.

6. Enumerate in geographical order the chief headlands, rivermouths, and important coast towns of South America.

Or,

State what have been the territorial modifications of the Turkish Empire during the present century.

7. Re-write, so as to correct and improve them, the following sentences, giving reasons for any changes you may make :

(a) The book you sent me and which I value very much,

gives me a different impression of America than what I formerly believed.

(b) The chairman thought that their primary duty should be to ask what was reasonable and fair and accept as much less as they possibly could.

(c) This is one of the most wonderful preparations that has been seen in modern times for the entire restoration of dimness or partial loss of sight.

(d) Entering one of the largest huts, preparations for an ample supper were promptly begun, and were very welcome for every one of us were hungry.

8. Give a general analysis of the following sentence, and parse the words in italics :

On the whole while the Essay on Criticism' may be readily allowed to be superior in execution, as it certainly is in compass, to any work of a similar nature in English poetry, it can hardly be said either to redeem the class of didactic poems on æsthetics from the neglect into which they have fallen, or to make us regret that the critical ability of our own day should prefer to follow the path marked out by Dryden when he chose to discourse of poetry in his own vigorous and flexible prose. 9. (a) Give the derivation of eight of the following words: Clinic, manual, anæmic, diagnosis, pulmonary, catarrh, palsy, dyspepsia, homeopathy, candle, abridge, butcher, enemy, husband, liniment, lettuce.

Or,

(b) Give equivalents from the Latin for five of the following, adding the derivations of these equivalents: Knowledge, knave, gainsay, blessing, food, busy, wisdom, unfeeling, huge, handiwork.

10. Make sentences illustrating the various uses of "that," and explain the grammatical import of each. Distinguish the gerund from the participle in -ing, with examples.

11. Give some account of one of the following: Spenser's 'Shepherd's Calendar'; Bacon's Essays'; Dryden's 'Absalom and Achitophel'; Coleridge's 'Ancient Mariner'; Shelley's 'Adonais'; Carlyle's 'Sartor Resartus.'

12. What is meant by: A sovereign international state; the sudd of the Nile; symbolism in literature; res judicata; a cavalry screen; the Devil's Advocate?

ENGLISH.

SATURDAY, 30TH MARCH 1901, 9 A.M. to 12 NOON.

(Eight, and not more than eight, questions are to be answered. 1 and 2 must be answered, with either 3 or 4 and either 5 or 6. The remaining four may be any questions not already

answered.)

1. Write an essay, of from two to three pages, on one of the following subjects:

(1) On the special difficulties and advantages attending the
adoption of Military Conscription in this country.
(2) Compulsory vaccination.

(3) On the distinctive qualities of Byron and Shelley as
poets.

2. Paraphrase :

There lies the port; the vessel puffs her sail :

There gloom the dark broad seas. My mariners,

Souls that have toiled, and wrought and thought with

me

That ever with a frolic welcome took

The thunder and the sunshine, and opposed

Free hearts, free foreheads-you and I are old;

Old age hath yet his honour and his toil,
Death closes all but something ere the end,
Some work of noble note, may yet be done,
Not unbecoming men that strove with Gods.
The lights begin to twinkle from the rocks:

The long day wanes: the slow moon climbs: the deep
Moans round with many voices. Come, my friends,
'Tis not too late to seek a newer world.

Push off, and, sitting well in order, smite

The sounding furrows; for my purpose holds
To sail beyond the sunset, and the baths

Of all the western stars, until I die.

3. Give some account of any four of the following: Bede, Anselm, Simon de Montfort, Wicliff, Bacon, Drake, Titus Oates, Dr Johnson, Clive, Rockingham, Nelson, Lord Palmerston.

4. Give some account of any four of the following: Battle of Hastings, Aids and Scutages, The "Mad" Parliament, The Black Death, Treaty of Troyes, Cade's Rebellion, Battle of Barnet, The Spanish Armada, Ship-money, American War of Independence, The Factory Acts, Indian Mutiny.