Calendar: 1893-1894 Page 849

FACULTY OF SCIENCE CXXVII Hence deduce formula of reduction for -- cos η 19 Find the volume generated by the revolution about the is of χ of 4- ו "י and prove that it is equal to the volume of right circular cylinder of radius such that the area of section through the axis is equal to that of circle of radius 20 Find the equation of curve such that the length of the tangent to it measured from the point of contact to the of χ is constant 21 Find two functions of χ such that each is the differential coefficient of the other Solve the equation dy ο ay x6 dx 22 heavy particle is attracted to fixed point by force equal to gravity find the equation of curve on which the particle will rest in any position FIRST YEAR Define density and specific gravity pointing out the essential difference between them block of wood inches long inches broad and If inch thick has mass of lb express its density in lbs per cubic foot Determine also its specific gravity What is meant by the pressure at point rectangle 11 cm by 60 cm is just immersed with its diagonal vertical in fluid whose specific gravity is '8 determine the whole pressure on each side of it due to the weight of the fluid Describe some experiment to show that when solid is weighed in fluid there is an apparent loss of weight equal