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PRELIMINARY GENERAL EXAMINATION.- Midsummer, 1868.
THURSDAY, June 18th.- Afternoon, 4 to 5}.
1. Translate into English:
Und schwört den Städten seinen Bürgereid;
Freiburg ist eine fich're Burg der Freien;
Zum kriegerischen Heer,—es bricht die Macht
Ein harmlos Volk von Hirten zu bekriegen.
Wird mancher Paß durch blutige Entscheidung.
Es hebt die Freiheit stegend ihre Fahne.
Kein Ort der Freiheit sei dem andern fremd-
[Schiller's ,, Wilhelm Tell," 2te Scene, 4 ter Aufzug. II. Grammatical Questions on the above passage. [N.B.—The following questions may be answered in German or English.] 1. Write the gender, case, number, nominative and genitive singular and nominative plural, of all the substantives in paragraphs 1 and 2.
2. Indicate the mood, tense, person, and number of all the verbs in paragraphs 3 and 4, and give the third person of the present and imperfect and the past participle of all.
3. Conjugate the verb zusammenhalten.
4. Write down all the prepositions in the above passages, and indicate the cases they govern. 5. When is in German the subjunctive mood used ?
PRELIMINARY GENERAL EXAMINATION.-Midsummer, 1868.
THURSDAY, June 18th.--Afternoon, 2) to 4.
1. Define the following terms:--force, equilibrium, resultant, rigid body.
What three elements determine a force ?
2. Enunciate the “ Parallelogram of Forces," and prove it so far as the magnitude of the resultant is concerned.
(i.) Two forces act on a particle in directions inclined at a right angle to one another; their resultant is 13 lbs., and one of the forces is 12 lbs.: find the other force.
(ii.) Two forces of 14 lbs. and 16 lbs. respectively act on a particle at an angle of 60°; find the magnitude of
the resultant. Only 3. Define the terms "vertical direction, " " horizontal plane," "weight," "centre of gravity.”
4. Find the centre of gravity of a parallelogram consisting of a lamina of uniform density and thickness.
5. When a body can turn freely about a fixed point, it will rest with its centre of gravity either vertically above or vertically below the fixed point.
6. Explain the different kinds of lovers, and give examples of each.
Ex.: A uniform bar, 19 inches long, weighs 48 lbs., and has two weights of 12 lbs. and 16 lbs. respectively suspended from its ends; find the position of the fulcrum when the bar rests in equilibrium.
7. The chief requisite of a good Balance is “ sensibility." Define this term fully, and state the two conditions of sensibility of a balance.
8. Shew how to find the true weight of a body by a false (or unjust) balance.
Ex.: The apparent weights of a body placed in the scales of a false balance are 2 lbs. and 3lbs. respectively:
find the true weight. 9. State the laws of Statical Friction.
Explain the terms : “coefficient of friction,” “perfectly rough," "angle of friction," or "angle of repose."
10. Enunciate Newton's First and Second Laws of Motion,
11. A body is projected vertically upwards, in a vacuum, with a velocity of 640 feet per second : how high will it rise, and after what interval will it return to the point of projection ?-N.B. Take
= 32 feet. 12. A body is projected at an angle of 30° to the horizon with a velocity of 1024 feet per second; find its range and time of flight on a horizontal plane passing through the point of projection.