Calendar: 1870-1871 Page 531

APPLIED SCIENCES 531 Show that the centre of gravity of uniform equilateral triangle from which an inscribed square has been removed is at distance from the base equal to side V3 lever turns on rough axis of given radius explain the principle of its action and find the relation between the power and weight on it Explain the principle of the method of finding the strains in framework called the method of sections When can the strains be absolutely determined Find the strains in the several pieces of the roof Β Cm the form of an equilateral triangle where AD are all equals and the angle Η 15 Explain what is meant by the line of resistance in structure rectangular wall of brickwork has to support the pressure of earth sp which reaches to the top of the wall find the equation to the line of resistance and determine the greatest height to which such wall can be carried when its thickness is ft Prove the truth of the principle of virtual velocities in the case of body in the state bordering on motion up an inclined plane At what rate would locomotive engine working at 60-horse power draw train up an inclined plane having rise of in 100 supposing the train and engine to weigh 60 tons and the friction to be lbs ton