Calendar: 1887-1888 Page 712

716 CLOTHWORKEES' SCIENCE EXHIBITIONS IV -jHerfmmcii Enunciate the proposition known as the Triangle of Forces and shew how it may be deduced from the Parallelogram of Forces Apply the Triangle of Forces" to find the relation between the Power Weight and Pressure on smooth inclined plane when the Power acts parallel to the plane Define "Neutral Equilibrium "Centre of Mass short circular cylinder of wood has hemispherical end when placed with its curved end on smooth table it rests in any position in which it is placed determine the position of the centre of mass man in the act of being weighed in balance of the ordinary kind pushes with walking stick the beam of the balance at point between the part of suspension of the scale-pan in which he is and the fulcrum determine whether any effect will be produced on his apparent weight Suppose there are pulleys in the third system each weighing pound and that the Power is pounds find the Weight body is projected so that the vertical part of the velocity of projection is 80 feet per second and the horizontal part 60 feet per second draw diagram which will shew the position of the body at any time Find also the range time of flight and highest point attained Enunciate the Third Law of Motion Find the pro- portion of the weights in Atwood's machine in order that the heavier body may fall through foot in second man jumps suddenly off platform with 20 pound weight in his hand find the pressure of the weight on his hand while he is in the air rectangular box open at the top is made of sheet iron half an inch thick cubic foot of the iron weighs 490 pounds The internal dimensions of the box are 36 inches in length 24 inches in width and 12 inches in depth Find what weight placed in the box will just sink it Find also