24 Nov 2018

Leaving Certificate Examination 1964 Honours Applied Mathematics

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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...
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22 Nov 2018

Leaving Certificate Examination 1962 Honours Applied Mathematics

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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 , ,...
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20 Nov 2018

Leaving Certificate Examination 1960 Honours Applied Mathematics

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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...
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14 Nov 2018

GNIB Bot

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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...
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14 Nov 2018

Leaving Certificate Examination 1957 Honours Applied Mathematics

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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 ,...
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