Calendar: 1865-1866 Page 530

532 GENERAL LITERATURE AND SCIENCE VI department of General ILtterature an& Science MATHEMATICS SENIOR SCHOLARSHIP -iHtrfjatu'isi anti StpDroStattif Find the resultant of any number of forces acting upon point forces in one plane Let the forces be three and Ρ the angle between Ρ and 90 and that between and Ρ 30 find the magnitude of the resultant and its direction Find the ratio between the power and weight in single' moveable pulley when the strings are not parallel Show that the distance of the centre of gravity of half hexagon inscribed in circle from the centre --- radius J3 AC CB are two heavy uniform bars hinged at ACB 90 Ρ and are two weights suspended respectively from and Β if the system be suspended from find the distance of below the horizontal line through stone falling describes 322 feet in the 2" after the 4th and 515-2 feet in the 2" after the 6th find the acceleration in feet If be the length the breadth and the depth of wooden box without lid show that the depth of its centre of ab be -f- ca Srav c-ab 2be 2ea When Ρ and balance on bent lever and slight dis- placement takes place show that Ρ P's virtual velocity W's virtual velocity If particle descend curve by the action of gravity the