Calendar: 1876-1877 Page 602

602 ENGINEERING AND APPLIED SCIENCES III -Mechanics SECOND AND THIRD YEARS Find the distance of the centre of gravity of trapezium with two sides parallel from the longest of the two parallel sides trapezium whose parallel sides are and feet and the other sides each equal to feet is placed with its base on an inclined plane find the elevation of the plane when the tra- pezium is just on the point of falling over State the laws of friction and define the limiting angle of friction weight of 123 lbs is placed on an inclined plane 25 feet long and feet high the coefficient of friction is ך- find the force required to drag it down the plane when the force acts parallel to the plane horizontally ABCDE is regular five-sided figure and forces re- presented by the lines AC AD and Ε act at the point find their resultant Or 3a regular five-sided figure ABCDE with hinges at the corners is pulled by forces at the hinges towards the middle point of the line AC draw diagram in which the forces necessary for equilibrium are represented by lines in the diagram if one of the forces be given find the vtlues of all the others sin 18 y1 In the first system of pulleys there is one moveable pulley turning on rough axle find the mechanical advantage when weight is raised by means of it Find the weight raised by force of 10 lbs the radius of the pulley being inches of the axis inches and the limiting angle of friction the angle whose sine is Explain what is meant by the line of resistance in struc- ture rectangular wall of brickwork has to support the pres- sure of water which reaches to the top of the wall find the equation to the line of resistance and find the greatest height to which such wall can be carried when its thickness is feet heavy body on horizontal plane has an upward vertical