Calendar: 1864-1865 Page 554

556 APPLIED SCIENCES The rafters have to support weight of 80 lbs for every foot of their length The weight of the tie beam is 10 lbs per foot in length Find the pressure on each wall the tension in the tie beam and the longitudinal pressures in the rafters Find also the moment of bending at the middle of each rafter and of the tie- beam What is work and how is it measured Find the horse- power of an engine required to draw train of 100 tons at 45 miles an hour up an incline of in 300 the frictional resistance being lbs per ton What is energy Express the energy of the train in foot- pounds and find the distance it would go up the incline if left to itself State the relation between the velocity and the time when given force acts on given mass If the engine can bring the train in the last question to its speed in two minutes find its pull in lbs weight VIII If this train is on curve of two miles radius find the centrifugal force in tons weight Show that v2 V2 Fs when force brings mass Μ from velocity to velocity ע in space In what measure is here expressed submarine telegraph cable consists of copper wire 0Ί65 inches diameter covered with gutta percha to diameter of 046 inches and sheathed with 18 steel wires 012 diameter Find the weight of mile of this cable in air and in sea-water the specific gravities being Copper 8-9 Gutta Percha 1-0 Steel 79 Sea water 103 XI cylindrical vessel whose diameter is inches contains lbs of water long solid cylinder whose diameter is inches is placed upright in the vessel What must be its weight that it may reach the bottom 12 right cylinder contains certain quantity of elastic fluid and is closed by piston Show that the whole pressure of the fluid on the curved surface of the cylinder is the same whatever be the position of the piston