25
Nov
2018

### Leaving Certificate Examination 1965 Honours Applied Mathematics

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Question 1 Two pegs are fixed at points and in the same horizontal line. One end of a light string is attached to and the other end to . When masses of and lb. are attached to points and , respectively, on the string, the and . Find the tension, in lb. wt., in each... Read More

24
Nov
2018

### Leaving Certificate Examination 1964 Honours Applied Mathematics

Question 1 A uniform ladder has a length of feet and weighs lbs. The end leans against a vertical rough wall (coefficient of friction ) and the other end is on rough horizontal ground (coefficient of friction ) at a distance of feet from the wall. A block weighing lbs. is placed on the ground... Read More

23
Nov
2018

### Leaving Certificate Examination 1963 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 . When two masses are attached to the string, one at a point and the other at a point , the angles , , are , , , respectively.... Read More

22
Nov
2018

### Leaving Certificate Examination 1962 Honours Applied Mathematics

Question 1 A uniform ladder is put leaning against a rough vertical wall (coefficient of friction ), the bottom of the ladder being on a rough horizontal plane (coefficient of friction ). What is the least angle the ladder can make with the plane without slipping? Question 2 is quadrilateral lamina in which , ,... Read More

21
Nov
2018

### Leaving Certificate Examination 1961 Honours Applied Mathematics

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

20
Nov
2018

### 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

19
Nov
2018

### 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

15
Nov
2018

### 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

14
Nov
2018

### 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

14
Nov
2018

### 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