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# Leaving Certificate Examination Honours Applied Mathematics (1925-1970)

Question 1 A mass of $21$ gm. is supported at $O$ by two light strings $OA$, $OB$ which are attached to fixed...
Question 1 A uniform rod $XY$, which weighs $12$ lbs., is supported by two strings $XZ$, $YZ$, attached to a fixed peg...
Question 1 $ABC$ is a triangle in which $BC=5$ cm., $\angle BCA=30^\circ$, and $\cos ABC = \frac{3}{5}$. Forces of $10$, $8$, $6$...
Question 1 If three co-planar non-parallel forces acting on a rigid body are in equilibrium, prove that their lines of action are...
Question 1 A warship is travelling on a course $30^\circ$ East of North. To an observer on a liner travelling due East...
Question 1 $A$ and $D$ are two fixed pegs in the same horizontal line. One end of a light string is attached...
Question 1 $A$ and $B$ are the ends of a uniform bar which is $8$ inches in length and which weighs $5$...
Question 1 The ends of a light inextensible string $5$ feet long are attached to two pegs which are $4$ feet apart...
Question 1 A light string $ABCD$ hangs from two fixed points $A$, $D$ which are in the same horizontal line. The string...
Question 1 Two pegs $A$ and $B$ are at the same height above the ground, and are $7$ feet apart. One end...