Calendar: 1873-1874 Page 558

558 APPLIED SCIENCES to the end is attached weight of 20 lbs find the weight of the bar when weight of lbs hanging at β produces equi- librium Find also the pressure on ABC is an inclined plane the length of Β is 50 ft and of BC 40 ft string passing round fixed pulley at Ώ is attached to weight resting on AB the direction of the string being parallel to the plane the string also passes round fixed pulley and the other end is attached to the lowest of system of pulleys arranged as in tbe figure being fixed pulley weight of 40 lbs is attached at Find assuming the plane to be smooth and the weight of the pulleys to be neglected Find also the vertical height through which is raised when the end Η has been pulled through distance of 20 ft stone falls through space of 400 ft find the velocity acquired and the time taken assuming to be 32 stone is thrown vertically upwards up smooth inclined plane prove that the vertical height to which the stone