went there the next day. He could hardly believe his eyes when he saw him in such a condition. He told his children that they must talk only when they are spoken to. He was greatly amused at being asked such questions. GERMAN (SECOND PAPER). I. Translate into English : (a) So waren ste nach und nach auf einen freien Plaz gelangt, der zur Vorstadt hinführte, wo am Ende vieler kleiner Buden ein größeres Brettergebäude in die Augen fiel, das sie kaum erblickten, als ein ohrzerreißendes Gebrüll ihnen entgegen tönte. Die Fütterungsstunde der dort zur Schau stehenden wilden Tiere schien herangekommen; der Löwe ließ seine Wald- und Wüstenstimme auf's Kräftigste hören, die Pferde schauderten und man konnte der Bemerkung nicht entgehen, wie in dem friedlichen Wesen und Wirken der gebildeten Welt der König der Einöde sich so furchtbar verkündige. Zur Bude näher gelangt, durften ste die bunten kolossalen Gemälde nicht übersehen, die mit heftigen Farben und kräftigen Bildern jene fremden Tiere darstellten, welche der friedliche Staatsbürger zu schauen unüberwindliche Lust empfinden sollte. Der grimmig ungeheure Tiger sprang auf einen Mohren los, im Begriff, ihn zu zerreißen; ein Löwe stand ernsthaft majestätisch, als wenn er keine Beute seiner würdig vor sich sehe; andere wunderliche bunte Geschöpfe verdienten neben diesen mächtigen weniger Aufmerksamkeit. Es ist wunderbar," sagte der Fürst,,, daß der Mensch durch Schreckliches immer aufgeregt sein will. Drinnen liegt der Tiger ganz ruhig in seinem Kerker, und hier muß er grimmig auf einen. Mohren losfahren, damit man glaube dergleichen inwendig ebenfalls zu sehen. Die guten Menschen wollen eingeschüchtert sein. um hinterdrein erst recht zu fühlen, wie schön und löblich es sei, frei Athem zu holen." Goethe. (b) Die Führer des Lebens. Trägt mit gigantischem Arm über die Tiefe dich hin. II. GRAMMAR. 1. When is of rendered in German by the genitive case? When is it omitted, and when is it rendered by von? Give examples. 2. Explain the difference between sich and selbst, and between wer and welcher. Give instances. 3. How can you ascertain the gender of German nouns (a) by their endings, (b) by their meaning? 4. What influence is exercised on the order of words in German by the following words :—weil, sondern, bis, freilich ? Form one sentence for each case. 5. Give the meaning and the past participle of the following verbs-widerstehen, übergehen, unterhalten, beauftragen. Mark carefully those verbs which admit of two different meanings and two different formations of their past participles. III. PHILOLOGY AND LITERATURE. (Only ONE of the following questions is to be attempted.) 1. Give the derivation and meaning of-Gesicht, Herzog, höflich, Mädchen, Gedächtnis, Mitgift, Erinnerung, eigensinnig, Gunst, wichtig. 2. Explain fully how in the course of the development of the German language Sie-originally the third person plural-came to be used instead of Du and Ihr. 3. Contrast the literary genius of Schiller and Goethe, and describe what you have read of either of them. 4. Say what you know of the influence exercised by the literature of France on that of Germany until the end of the eighteenth century. DYNAMICS. [Take g=32 foot-second units.] 1. State and prove the proposition known as the "Triangle of Velocities." A, B, C, D, are four given points. Give a geometrical construction for the point P such that the resultant of the four velocities represented by PA, PB, PC, PD shall be zero. 2. Distinguish between mass and weight. Show clearly how it has been established by experiment that at a given place on the earth's surface the weights of different bodies are proportional to their masses. A cage, containing a mass of 100 lb., is being raised vertically from the bottom of a mine, and ascends the first 100 feet in 35 seconds with uniform acceleration. What pressure will be exerted between the cage and the mass it contains? 3. A force of P poundals acts on a mass of m lb., which is initially at rest, and moves it through a space of s feet. What is then the momentum of the mass, and what its kinetic energy? State clearly in what units your results are expressed. A force equal to the weight of 3 tons acts for of a second on a mass initially at rest. If the momentum thus generated were communicated to a stationary mass of 1 cwt., with what velocity would this mass begin to move? 4. Show by the principle of Conservation of Energy, or otherwise, that the greatest height that can be reached by a body projected with a velocity v in a direction making an angle i with the horizon is v2sin2i A mass of 10 lb. is placed on a smooth plane inclined to the horizon at an angle of 30°, and is connected by a string passing over a smooth weightless pulley at the top of the plane with a mass of 8 lb. which hangs vertically. If the system start from S rest, find the velocity of either mass when the smaller mass has fallen through a distance of 24 feet. 5. Apply the Second Law of Motion to deduce the "Parallelogram of Forces" from the "Parallelogram of Velocities." A uniform sphere, weight W, is placed on a smooth plane inclined to the horizon at an angle i, and is supported by a horizontal string attached to a point on its surface. Show in a diagram the forces which keep the sphere at rest, and prove that the tension of the string is W tan i. 6. Show that a system of forces acting on a rigid body in one plane can in general be reduced to a single force and a couple. Deduce the conditions of equilibrium. A uniform ladder is placed in a plane perpendicular to a rough vertical wall with its upper end in contact with the wall, and the lower end on a rough horizontal plane. Being given that the wall and the horizontal plane are equally rough, and that the ladder cannot rest inclined to the vertical at a greater angle than 45°, find the coefficient of friction between the ladder and the wall or horizontal plane. 7. Show how to find the centre of gravity of a body made up of two parts whose masses and centres of gravity are given. A piece of paper, uniform in thickness and material, is in the form of a square ABCD; O is the centre of the square, and E, F are the mid-points of the sides AB, AD respectively. The paper is folded across the line EF so that the point A coincides with the point O. Find the centre of gravity of the paper when so folded. 8. Distinguish between the total pressure and the resultant pressure of a liquid on a curved surface. Give (without proof) the formula for the total pressure on any plane surface exposed to the pressure of a liquid. A cube, whose volume is 1000 cubic centimetres and weight 800 grammes, floats in water with four of its edges vertical. Find the pressure on the horizontal face of the cube which is in contact with the water, and the pressure on each of the vertical faces. What is the resultant pressure of the water on the cube? 9. State clearly what experiments you would make in order to determine the specific gravity of a solid less dense than water, e.g., a piece of cork; and construct a formula by which you would calculate the specific gravity of the solid from the results of the experiments. A solid weighs a grammes in water and b grammes in a liquid of specific gravity s. Find the mass of the solid in grammes and its volume in cubic centimetres. 10. State Boyle's Law, and show how it is verified by experiment in the case of common air for pressures greater than atmospheric pressure. Why is it necessary to proceed slowly in carrying out the experiment? A hollow cylinder, 10 feet high, is closed at one end but open at the other. It is held with its axis vertical and open end downwards, and is then lowered into water until the lower end is 29 feet below the surface of the water, when half the quantity of air in it is allowed to escape. Assuming that the height of the water barometer is 33 feet, find to what height the water will rise inside the cylinder. PRELIMINARY EXAMINATION PAPERS MARCH-APRIL 1896. ENGLISH (FIRST PAPER). (Not more than Five questions to be answered. Questions 1, 2, and 6 must be attempted by all.) 1. Write an Essay, from two to three pages long, on one of the following subjects: (a) French and English national characteristics as represented by Shakespeare in Henry V. (b) The Historical Novel with special reference to The Fair Maid of Perth. (c) The influence of the geography of the British Islands on their history. 2. Paraphrase:— The Poet to his dead Friend. Dost thou look back on what has been, As some divinely gifted man, Whose life in low estate began Who breaks his birth's invidious bar, |