# Calendar: 1867-1868 Page 489

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490 APPLIED SCIENCES and sin φ 14 find the power required to raise 27 tons cwt 16 lbs when there is one moveable pulley stone wall whose section is trapezium with one side vertical is subject to the pressure of water on its vertical face the height of the wall is 12 feet its thickness feet at the top and 11 feet at the bottom Find the equation to the line of resistance the wall being twice as heavy as its own bulk of water Define line of resistance and line of pressure In an arch composed of series of blocks what conditions must they fulfil for equilibrium Find the form of the line of resistance in the case of the straight arch the load being uniformly scattered horizontally What is work and how is it measured Find the horse-power of an engine required to draw train of 120 tons at 30 miles an hour up an incline of in 300 the frictional resistance being lbs ton What is energy Express the energy of the train in oot- pounds and find the distance it would go up the incline if left to itself If this train is on curve of two miles' radius find the inclina- tion of the roadway so that there may be no tendency to run off the rails Explain the meaning of the equation 2ע F2 Fs showing how it is obtained and stating the laws on which it is founded 10 submarine telegraph cable consists of copper wire 165 inches in diameter covered with gutta-percha to diameter of 46 inches and sheathed with 18 steel wires 12 inches in diameter Find the weight of mile of this cable in air and in sea-water the specific gravities being- Copper 89 Gutta-percha Steel 7-9 Sea-water 1-03 11 The length of the seconds' pendulum at Kbnigsberg is 3915 inches and at Ascension is 39Ό24 inches pendulum which vibrates seconds at Ascension is taken to Konigsberg where the acceleration of falling body is 322 Find the accele-

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