Calendar: 1884-1885 Page 694

688 CLOTHWORKERS SCIENCE EXHIBITION mass of lbs hanging vertically is attached to mass of 10 lbs placed on horizontal table feet high and at distance of feet from the edge by means of string feet long passing over pulley at the edge of the table determine the motion giving the complete paths of the two masses State the parallelogram of forces and prove it as far as the magnitude of the resultant is concerned mass is kept at rest on plane inclined at an angle of 30 to the horizon by force of lbs acting at an angle of 30 to the plane find the mass and the pressure on the plane body is projected up rough incline from the bottom it comes to rest and runs down again and runs along an equally rough horizontal plane at the bottom shew how to find by geometry or otherwise the distance it will go up the plane and also the distance it will go along the horizontal plane before it comes to rest When two forces which are not parallel act on body shew that the moment of their resultant about any point is equal to the sum of the moments of the two forces about the same point Deduce the principle of the lever The arms of bent lever CB are and feet and force of lbs acts at an angle of 60 to the first at find the force which acting at Β at 30 to the second arm will keep it at rest In the third system of pulleys there are four moveable pulleys and one fixed pulley each inches in diameter the power is force equal to the weight of lbs find the weight supported and find to what point of the supporting red it should be attached IV vtic Define stable-unstable-neutral equilibrium Shew that cylinder if placed on its flat end will be in stable equilibrium but if placed on its curved surface in neutral equilibrium