Calendar: 1867-1868 Page 488

APPLIED SCIENCE8 489 VII Itepartnunt of t&e &pplktf primes The Mathematical Papers are the same in each case as those given for the Department of General Literature and Science -natural βί ίΐο $0ρί SECOKD YEAR Find the distance of the centre of gravity of trapezium with two sides parallel from one of the parallel sides trapezium whose parallel sides are and feet and the other sides each equal to feet is placed on an inclined plane find the elevation of the plane when the trapezium is just on the point of falling over The framework ABODE has weight at and is supported by vertical forces Ρ and at Β and the angles ADD and ACE are each 15 and the pieces Η Τ Κ Μ are all equal each being 15 feet long Draw the diagram of forces If the tension on Τ be 12 lbs find the forces in all the pieces and the forces and How may the weights of AB and be taken into account State the laws of Friction and define the limiting angle of resistance weight of cwt 11J lbs is placed on an inclined plane 25 feet long and feet high the coefficient of friction is Find the force required to drag it down the plane when the force acts parallel to the plane horizontally also find the least force which will drag it down the plane Find the relation between the power and the weight on the third system of pulleys the axes being rough neglecting the weights of the pulleys If the radius of each pulley be inches of the axes inches