21Nov2018

### Leaving Certificate Examination 1961 Honours Applied Mathematics

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Question 1 is a triangle in which , , . Forces of , , lb. wt. act along , , , respectively. How far from does the line of action of their resultant cut ?. Find the magnitude of the resultant in lb. wt., correct to one place of decimals, and find the angle which... Read More

20Nov2018

### Leaving Certificate Examination 1960 Honours Applied Mathematics

Question 1 A mass of gm. is supported at by two light strings , which are attached to fixed pegs at , , respectively, the straight line being horizontal. If ins., ins., ins., find the tensions in the strings. Question 2 Explain the terms “limiting friction”, “coefficient of friction.” A uniform ladder of weight rests... Read More

19Nov2018

### Leaving Certificate Examination 1959 Honours Applied Mathematics

Question 1 A uniform rod , which weighs lbs., is supported by two strings , , attached to a fixed peg . If , , , calculate the tensions in the strings. Question 2 is a quadrilateral lamina. cm., cm., and . Find the perpendicular distance of the centre of gravity of the lamina (i)... Read More

15Nov2018

### Leaving Certificate Examination 1958 Honours Applied Mathematics

Question 1 is a triangle in which cm., , and . Forces of , , lb. wt. act along , , , respectively. If their resultant acts along the straight line , cutting in , calculate the length of and the size of the angle . Question 2 Show that the centre of gravity of... Read More

14Nov2018

### GNIB Bot

As a teacher of international students I am aware of the need among my students to visit GNIB (Garda National Immigration Bureau) office to get their visa and GNIB card. When I lived in Dublin I would pass Burgh Quay every morning and would be stunned by the queues. Here is a picture of a... Read More

14Nov2018

### Leaving Certificate Examination 1957 Honours Applied Mathematics

Question 1 If three co-planar non-parallel forces acting on a rigid body are in equilibrium, prove that their lines of action are concurrent and that the forces may be represented in magnitude and direction by the sides of a triangle taken in order. A uniform bar which weighs lb. is supported by two strings ,... Read More

13Nov2018

### Leaving Certificate Examination 1956 Honours Applied Mathematics

Question 1 A warship is travelling on a course East of North. To an observer on a liner travelling due East at knots the warship appears to be moving due North. Find the speed of the warship. In what direction should the warship travel at that speed so that it would appear to the observe... Read More

7Nov2018

### Leaving Certificate Examination 1955 Honours Applied Mathematics

Question 1 and are two fixed pegs in the same horizontal line. One end of a light string is attached to and the other end to . The string carries a weight of lb. at and a weight of lb. at . The angles , , are , , respectively. Find the value of .... Read More

23Oct2018

### Leaving Certificate Examination 1954 Honours Applied Mathematics

Question 1 and are the ends of a uniform bar which is inches in length and which weighs lb. The bar is supported by two strings and attached to a fixed peg . If inches and inches, find the tensions in the strings. What weight attached at would maintain the bar in a horizontal position?... Read More

22Oct2018

### Leaving Certificate Examination 1953 Honours Applied Mathematics

Question 1 The ends of a light inextensible string feet long are attached to two pegs which are feet apart and in the same horizontal line. A mass of lb. is suspended from the string at a point which is feet from one peg and feet from the other. Find the tension in each part... Read More