Calendar: 1866-1867 Page 466

468 GENERAL LITERATURE AND SCIENCE II -jHtcfianiHl anil p&roiStattai particle at the centre of regular hexagon is urged to the six angular points by forces equivalent to lbs respectively Determine tbe magnitude and direction of the resultant From square whose diagonals intersect in the triangle aob is cut out Find the centre of gravity of the remainder triangle whose sides are respectively and feet long is suspended by the angular point where the sides and in- tersect Find at what angle the side is inclined to the horizon heavy beam ab is hinged at from β weight is suspended string bcp attached to β passes over pully and weight ρ acts at ρ if inclination of the beam to the horizon find the inclination of the string to the beam in case of equilibrium In the isosceles wedge compare the pressure on the base with that on the sides The specific gravities of man water and cork being 1Ί2 and 24 what must be the weight of cork jacket that may make man weighing 150 lbs just float Find the path range greatest altitude and time of flight of projectile with given angle and velocity Find the altitude when half the time of flight has elapsed weight of 10 lbs attached to string feet long is made to describe circle round one extremity of the string as centre Find the force which stretches the string circle is just immersed in fluid divide it by another circle touching it internally at the surface in two parts that the pres- sures upon them shall be as η 10 cubical vessel has one vertical side opening by hinges on vertical'edge if the vessel be filled with water where must single force act to keep the side shut and what is the force 11 ship with its cargo weighing 100 tons is observed to draw the same number of feet at sea that it draws in fresh water when 100 tons of cargo have been discharged Compare the specific gravities of sea and fresh water 12 Explain the action of the siphon and the common pump