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20Nov2018

Leaving Certificate Examination 1960 Honours Applied Mathematics

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Question 1

A mass of quicklatex.com-20b2359777f6479b766141ee1eb47708_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds gm. is supported at quicklatex.com-5b090119e833ac90162777d07e3fe243_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds by two light strings quicklatex.com-10d7b3f9c2cfee3c3af0d6b6e9a1886f_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds, quicklatex.com-883c66734b6c9076472fde380fcb458b_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds which are attached to fixed pegs at quicklatex.com-cba4133f939edee31a8ce51d790a9cd0_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds, quicklatex.com-eaf6d3ddf3d9ff0d18eb3da055c8c94a_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds, respectively, the straight line quicklatex.com-bb11fdb4c82e898ea8147471416d775f_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds being horizontal. If quicklatex.com-6b7ce82f896b1d5f8c039484927bf2a9_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds ins., quicklatex.com-c5aadde3fa106283b8d37c679f338575_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds ins., quicklatex.com-33ca6f73df33a337faa659a4c8705d47_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds ins., find the tensions in the strings.

Question 2

Explain the terms “limiting friction”, “coefficient of friction.” A uniform ladder of weight quicklatex.com-054ef36c6e54f65ccdd586c0869b4fb0_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds rests with one end in contact with a rough horizontal plane (coefficient of friction quicklatex.com-9eabd0f498fa801f90598db3c2567e20_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds) and the other end in contact with rough vertical wall. The ladder makes an angle quicklatex.com-f4556c675a8adb436b6672da60c64f73_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds with the horizontal. When a man of weight quicklatex.com-1822293624fe9e0669aebc26eaa4f957_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds is one-third the way up the ladder, the ladder is on the point of slipping. Find the coefficient of friction between the ladder and the wall.

Question 3

State the theorem of the Triangle of Forces and its converse. The perpendicular bisectors of the sides of a triangle are the lines of action of three forces. Each force acts outwards and is proportional in magnitude to the length of the side to which it is perpendicular. Prove that the three forces are in equilibrium.

Question 4

quicklatex.com-0bc2407dfe67fc49000363238a97afd0_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds is a quadrilateral lamina. quicklatex.com-8ae14e8f233d352221c32ac7218bc020_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds and quicklatex.com-221b4d27b1ce269522fa463d759ad631_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds. Find the perpendicular distance from quicklatex.com-371fe833e9a89e2790fc66adb618b944_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds of the centre of gravity of quicklatex.com-0bc2407dfe67fc49000363238a97afd0_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds.

If quicklatex.com-05d30bc5e19b413cea824383c6bce148_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds is a point on quicklatex.com-7eb8f30e99944d2a38f0872981ee6aa3_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds such that the centre of gravity of quicklatex.com-c20839cdfe264084c2793f2c77ad78ca_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds is on quicklatex.com-371fe833e9a89e2790fc66adb618b944_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds, find the perpendicular distance from quicklatex.com-371fe833e9a89e2790fc66adb618b944_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds of the centre of gravity of quicklatex.com-f3249173facea12b4e157808e9deac5e_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds.

Question 5

Derive an expression for the greatest height reached by a projectile in terms of the angle of projection and the initial velocity. A projectile, fired from ground level, just clears a vertical wall which is quicklatex.com-2d7d2a33b9da2d7d50dc3fb3075ecdf9_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds feet from the point of projection and is quicklatex.com-05d9d7dd86897391264c3dd69d86416a_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds feet high, and the greatest height the projectile reaches is quicklatex.com-4fbb80c3d7c3c9bdfaf780287e19f597_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds feet. Show that quicklatex.com-ad3aca0bd56c27e78a35125d2aa02b27_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds{-1}\frac{4}{3}quicklatex.com-549770c6c65688254840e8c711c0fdc9_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds15quicklatex.com-75ae3c3081a898323f88ad37f8bcaeaa_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds2quicklatex.com-3ef5ac0d4464699bd06705956d532da5_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds^2quicklatex.com-515f25db87e9c2628c543d5495b9b044_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds35quicklatex.com-9db0d37455d4596000aeb352102a62fa_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds30quicklatex.com-1a44e2e4ea2e812f221d0f42f8e794ed_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds1quicklatex.com-977e6db0235f2c855d84d9d08fb395ee_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds224quicklatex.com-f9c0a301a0da43cbdd3af085b0d269d6_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds4quicklatex.com-44e1ec89559899b9c857b4336bd0bcf3_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds1quicklatex.com-2c73260f804bc2ef7af81053de5dac49_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds6quicklatex.com-c721ae8b4a2cca3e5cbb154fd7d25dfd_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds^2quicklatex.com-9793d6b40f6483a9a87c3d728892bc1a_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds10quicklatex.com-1c3f8d71f8c2572dfb4563a31811d565_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds70quicklatex.com-92ad568fb9c8a43faf4621c32072a600_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds8quicklatex.com-f6ae93bd48cd7da226c6ecdf935c3a7e_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds74quicklatex.com-f11b3ef54b4e9fd78e731cbf1eb976b8_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds100quicklatex.com-5fe57b49c94208d0da072cd182d938d4_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds40quicklatex.com-7335c99dee1c174ecbb2adca505d8c85_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds4quicklatex.com-0652d80a83ccf86373f00f8c7df4b5f6_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds16quicklatex.com-d969069ce2d9fb725baa8e8c0e3554ab_l3 | Leaving Certificate Examination 1960 Honours Applied Mathematics | Maths Grinds62\frac{1}{2}$ lb.]


Citation:

State Examinations Commission (2018). State Examination Commission. Accessed at: https://www.examinations.ie/?l=en&mc=au&sc=ru

Malone, D and Murray, H. (2016). Archive of Maths State Exams Papers. Accessed at: http://archive.maths.nuim.ie/staff/dmalone/StateExamPapers/

Licence:

“Contains Irish Public Sector Information licensed under a Creative Commons Attribution 4.0 International (CC BY 4.0) licence”.

The EU Directive 2003/98/EC on the re-use of public sector information, its amendment EU Directive 2013/37/EC, its transposed Irish Statutory Instruments S.I. No. 279/2005, S.I No. 103/2008, and S.I. No. 525/2015, and related Circulars issued by the Department of Finance (Circular 32/05), and Department of Public Expenditure and Reform (Circular 16/15 and Circular 12/16).

Note. Circular 12/2016: Licence for Re-Use of Public Sector Information adopts CC-BY as the standard PSI licence, and notes that the open standard licence identified in this Circular supersedes PSI General Licence No: 2005/08/01.

Links:

https://circulars.gov.ie/pdf/circular/per/2016/12.pdf

https://creativecommons.org/licenses/by/4.0/legalcod

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