19 Oct 2018

Leaving Certificate Examination 1952 Honours Applied Mathematics

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Question 1 A light string $ABCD$ hangs from two fixed points $A$, $D$ which are in the same horizontal line. The string carries a weight of $10$ lb. at $B$ and weight of $W$ lb. at $C$. The angles $DAB$, $ABC$, $BCD$ are $45^\circ$, $150^\circ$, $120^\circ$, respectively. Find, graphically or otherwise, the value of $W$....
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16 Oct 2018

Leaving Certificate Examination 1949 Honours Applied Mathematics

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Question 1 $ABC$ is a triangle in which $AB=8$ cm., $BC=10$ cm., and $CA=11$ cm. Forces of $4$, $5$, $5$ lb. wt. act along the sides $AB$, $CA$, $CB$, respectively. Find the magnitude of their resultant and find how far from $C$ it cuts $CA$ and the angle it makes with $CA$. Question 2 (a)...
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4 Oct 2018

Leaving Certificate Examination 1947 Honours Applied Mathematics

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Question 1 A body moving in a straight line travels distances $AB$, $BC$, $CD$ of $104$ ft., $264$ ft., $240$ ft. respectively in three successive intervals of $2$ secs., $6$ secs., and $8$ secs. Show that these facts are not inconsistent with the hypothesis that the body is moving with uniform retardation. On this hypothesis...
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3 Oct 2018

Leaving Certificate Examination 1946 Honours Applied Mathematics

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Question 1 A train travelling at $44$ feet per second is brought to rest, its speed after $t$ secs. being given by the table : $t$ secs. $0$ $5$ $15$ $25$ $35$ $40$ $50$ $v$ ft./sec. $44$ $36$ $24$ $14.5$ $8$ $5$ $0$ Draw the velocity-time graph. Find, approximately, (i) how far the train travelled...
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2 Oct 2018

Leaving Certificate Examination 1945 Honours Applied Mathematics

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Question 1 The velocities of two points $A$ and $B$ being known in magnitude and direction, explain with the aid of a diagram how to find the velocity of $B$ relative to $A$. A ship $A$ sailing north at $20$ miles per hour observes a ship $B$ $10$ miles to the north-east which is sailing...
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