19Oct2018

### Leaving Certificate Examination 1952 Honours Applied Mathematics

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Question 1 A light string hangs from two fixed points , which are in the same horizontal line. The string carries a weight of lb. at and weight of lb. at . The angles , , are , , , respectively. Find, graphically or otherwise, the value of . Question 2 A uniform ladder, of... Read More

18Oct2018

### Leaving Certificate Examination 1951 Honours Applied Mathematics

Question 1 Two pegs and are at the same height above the ground, and are feet apart. One end of an inextensible string feet in length is attached to , and the other end is attached to . A lb. weight is suspended from the string at a point feet from and feet from .... Read More

17Oct2018

### Leaving Certificate Examination 1950 Honours Applied Mathematics

Question 1 If the velocities of two bodies and are known, indicate by means of a diagram, or otherwise, how the velocity of relative to may be found. When a man is travelling due east at miles per hour, the wind appears to blow from the north, but when he is travelling north east at... Read More

16Oct2018

### Leaving Certificate Examination 1949 Honours Applied Mathematics

Question 1 is a triangle in which cm., cm., and cm. Forces of , , lb. wt. act along the sides , , , respectively. Find the magnitude of their resultant and find how far from it cuts and the angle it makes with . Question 2 (a) Three coplanar forces , , act along... Read More

5Oct2018

### Leaving Certificate Examination 1948 Honours Applied Mathematics

Question 1 A liner proceeding on a course North of East appears to be moving N.E. as seen from a tug moving at knots in an easterly direction. Find the speed of the liner. How much must the tug increase its speed so that the liner will now appear to be moving due North? Question... Read More

4Oct2018

### Leaving Certificate Examination 1947 Honours Applied Mathematics

Question 1 A body moving in a straight line travels distances , , of ft., ft., ft. respectively in three successive intervals of secs., secs., and secs. Show that these facts are not inconsistent with the hypothesis that the body is moving with uniform retardation. On this hypothesis that the body is moving with uniform... Read More

3Oct2018

### Leaving Certificate Examination 1946 Honours Applied Mathematics

Question 1 A train travelling at feet per second is brought to rest, its speed after secs. being given by the table : secs. ft./sec. Draw the velocity-time graph. Find, approximately, (i) how far the train travelled in the secs., (ii) the retardation when . Question 2 A gate weighing lb. has its centre of... Read More

2Oct2018

### Leaving Certificate Examination 1945 Honours Applied Mathematics

Question 1 The velocities of two points and being known in magnitude and direction, explain with the aid of a diagram how to find the velocity of relative to . A ship sailing north at miles per hour observes a ship miles to the north-east which is sailing west at the rate of miles per... Read More

1Oct2018

### Leaving Certificate Examination 1944 Honours Applied Mathematics

Question 1 is a steel rod, the portion being straight and of length feet and the portion being curved. The whole rod lies in one plane. The end is hinged to the floor and a load of cwt. is suspended from by a rope which is feet from which is kept vertical by applying a... Read More

28Sep2018

### Leaving Certificate Examination 1943 Honours Applied Mathematics

Question 1 Two ships and are miles apart, being due west of and steaming due East at miles per hour. is steaming due North at miles per hour. When will they be nearest one another and what will be their distance apart at that time? Question 2 A particle slides down a smooth inclined plane... Read More