length of the rod bea2 + b2, and if the upper end slide on a smooth vertical wire through the centre of the ellipse, in the position of equilibrium 2 ✓r(2a − r) 3. Investigate an expression for the acceleration of a particle describing a circle with uniform speed. Two heavy particles connected by a string passing through a smooth fixed ring describe horizontal circles in equal times. Show that the circles lie in the same horizontal plane. 4. Prove that the path of a projectile is a parabola. Particles are projected from a point A so as to pass through another point B. Show that the locus of the foci of the parabolas described is a hyperbola whose foci are A and B. 5. A particle is projected from a distance a with velocity V directly towards a centre of attractive force varying as the distance. Find the time of describing any space. 6. Define a fluid, and prove that in a fluid in equilibrium the pressure at any point is the same in all directions. Show that if in any substance the stress at every point across three planes not parallel to the same line be always normal and the same for all three, the substance is a fluid. 7. Find the depth of the centre of pressure of a triangular lamina completely immersed in a heavy homogeneous liquid with its corners at given depths. Find also the depth of its centre of pressure when the pressure of the atmosphere is taken into account. 8. Find the linear magnification of a small body at right angles to the axis of a spherical reflector; and show that the linear magnification of a small body along the axis is the square of this. 9. Define the principal points and principal foci of a thick lens, and determine their positions. 10. Define mean solar time and apparent solar time, and find approximately the times of the year at which they agree. LAW SCHOLARSHIP-FIRST YEAR. ENGLISH LAW. Examiner.-PROFESSOR CAMPION. REAL PROPERTY. 1. Define the following: 'Base Fee,' 'Quasi estate tail,' and state in what manner is the latter disentailed-1st, when the estate is one in possession; 2nd, when it is in remainder. 2. Give an example of the doctrine of Cypres' in the devise of real estate, and state the legal principle on which it is based. 3. Describe the nature of the estate formerly, and at present, created by a devise in the following terms: 'To A B, and if he die without issue to C D.' State the legal principle of construction before the Wills Act (on this point). 4. Distinguish 'An executory interest' from a Contingent Remainder'; and state the statutory modifications of the original rules for the validity of the latter. 5. State the statutory powers now vested in a tenant for life under a settlement' of real estate. How, and under what control, exercised? 6. State some of the leading changes in the law of Descent,' and give an example of the Amending Statute 22 & 23 Ch. 35 (where there is a total failure of heirs of the purchaser). 7. A woman when she married had the following properties: general personal estate,' 'leasehold for years,' A fee-simple.' State the relative rights of husband and wife in the above-1st, if married before the Act of 1882; 2nd, if married after that Act. 8. Is there any exception to the rule that the power of alienation incident to an estate in fee cannot be prevented or restrained? 9. What is the true test by which to determine whether a devise or grant violates the rule against perpetuity'? 10. The author describes the modern mode of barring Dower' by a trust term. On what principle of legal construction had it that operation and effect? 11. State the elements required to constitute a tenancy by curtesy.' 12. State the statutory alterations in the law of 'Dower.' A man dies possessed of a freehold estate held for lives renewable for ever. Is his widow entitled to Dower? JURISPRUDENCE. Examiner.-PROFESSOR BASTABLE. Explain 1. All law is the command of the Sovereign.' this statement, and consider how far it is borne out by the history of law. 2. Examine Austin's doctrine respecting the relation of custom to law. 6 3. What does Pollock mean by determining rules'? Give examples, and show the importance of this part of a legal system. 4. How does Maine account for the Roman horror of intestacy? 5. Discuss the theory that contract has arisen out of conveyance. 6. Show that the terms, fiduciea, pignus, hypotheca, mark distinct stages in the development of the law of security. 7. Discuss the question whether the House of Lords is bound by its own decisions. 8. State the various elements that make up the concep- 9. Give the substance of Austin's remarks on the distinc- LAW SCHOLARSHIP-SECOND YEAR. ENGLISH LAW. Examiner.-PROFESSOR CAMPION. CONTRACTS. 1. State the characteristics of a contract by specialty' 2. Give examples of apparent exceptions to the rule, 'that 3. When an agent contracts with a third party, without 6 4. As regards right and liability, distinguish a 'partner- 5. State some of the five classes of the fourth section of 6. Distinguish a consideration executory' from a con- 7. When illegality of contract is set up, what is the distinction between the following ?— (a) When a man undertakes or promises two things, one legal, the other illegal. (b) Where the consideration of the contract is partly illegal and partly legal. PERSONAL PROPERTY. 8. To what qualification is the legal right of Stoppage in transitu' subject? State the extended statutory remedy in an action of 'Trover.' 9. Define the class of personal property designated 'a Chose in action,' and state the present qualified right to assign it (by statute). 10. Explain the term 'Emblements,' and the present statutory remedy by way of substitution for such (in certain cases). 11. By what two modes may the absolute interest in personal property be transferred to a party without any consideration (and without deed) ? 12. When a specified sum is agreed to be recoverable on a breach of contract, what is the criterion by which to determine whether that sum is a Penalty' or 'Liquidated damages'? State the result of the former. JURISPRUDENCE AND ROMAN LAW. Examiner-PROFESSOR BASTABLE. 1. Explain the following:-(a) heres solus et necessarius, (b) jus rerum, (c) lex Junia Norbana, (d) tutela legitima, (e) testamentum inofficiosum. 2. Enumerate the 'classical jurists,' and give some account of their contributions to Roman Law. 3. Trace the gradual weakening of the patria potestas in respect to control over (a) person, (b) property. |