Calendar: 1898-1899 Page 756

cxxiv FACULTY OF SCIENCE at the bottom 18 ft Find the distance from the extradoe of the point where the line of resistance cuts the base cubic foot of brickwork weighs 112 lbs cubic foot of water weighs 62 lbs heavy body rests on rough horizontal plane and gradually increasing force is applied to the body in dircc- tiou parallel to the plane Show how to determine whether the initial motion will be one of toppling or of sliding rectangular block 10 inches high and inches thick whose mass is lbs rests on horizontal plane If the coefficient of friction between the block and 1110 plane is 15 tind the least height from the plane at which horizontal force must be applied in order to overturn the block without sliding Find also the magnitude of this horizontal force Show that force acting at any point of body is equivalent to an equal and parallel force acting at some other point together with couple of definite sign and moment Hence show how to find the resultant of any system of forces acting on body Three forces each equal to act along the sides of an equilateral triangle ABC in the directions AB AC BC respectively Find the position and magnitude of the single force to which these three are equivalent Show that the vertical distance of the bob of conical pendulum beneath the point of attachment to the vertical axis about which the pendulum revolves depends only upon the number of revolutions per second of the pendulum about the axis Find the height when the pendulum is revolving at 80 revolutions per minute Draw diagram of forces for the bridge sketched below whose weight is and which is loaded at the joint with an extra load vo' the cross pieces all making an angle of 45 with the horizontal Calculate the stresses in the various pieces