Calendar: 1883-1884 Page 655

APPLIED SCIENCES 651 that the space described by falling bodies varies with the square of the time of falling Two weights of and 10 ounces connected by thread hang over pulley Find the tension of the string when they are in motion and find the space described in seconds plane rises in and piece of wood is projected up it with velocity of 60 ft per second find how far up the plane it will go if the plane is smooth if the plane is rough the weight of wood to be lbs and the coefficient of friction to be Define the term 'centre of gravity cylinder 50 ft long balances on log put under it at 30 ft from one end and it also balances on the log put under its centre when weight of 50 lbs is placed at one end and 120 lbs at the other find the weight of the cylinder Find the power necessary to sustain weight of 120 lbs with three movable pulleys and one fixed pulley arranged according to the third system the weights of the pulleys being each ozs find also where the weight should be attached if each pulley is inches in diameter Two spheres of the same material whose weights are ozs and 27 ozs rest against one another and are supported by strings attached to given point their centres are in the same horizontal plane Find the tensions of the strings and the position of equilibrium How many turns must be given to screw formed upon cylinder whose length is 32 inches and radius 3£ inches in order that power of lbs may overcome resistance of 64 lbs Prove that the pressure at depth ζ in fluid of density ρ is gpz The side AB of triangle is in the surface of liquid and point is taken in such that the pressures on BAD and BDC are equal find the ratio of AD to DO 10 Find the resultant pressure and also the centre of pressure of an equilateral triangle Β 0ך which is immersed vertically in water and has its base AB which is 10 inches long in the surface of the liquid