Calendar: 1886-1887 Page 700

702 applied sciences steam-engine is moving on level road at the rate of 30 miles an hour when the steam is cut off supposing the friction to be equivalent to retarding force of -J of the weight of the train find how long and how far it will move before it stops body weighing 30 lbs falls through the whole length of rough inclined plane the height of which is 30 ft and the base 100 ft At the bottom of the plane the kinetic energy of the body is found to be 300 ft lbs determine the coefficient of friction between the body and the plane rod ft long has weight of lbs at one end lbs at 30 inches from the end lbs at 54 inches 10 lbs at 80 inches and 16 lbs at the other end find at what point the rod must be supported Determine the ratio of the mechanical advantages obtained by arranging movable pullies and fixed pulley according to the third system according to the first system If 10 lbs fathom and minute are the units of mass space and time find the value of the acceleration of the force of gravity and find the unit of force Explain what is meant by the Triangle of Forces and deduce it from the Parallelogram of Forces weight of 65 lbs is kept in equilibrium on an inclined plane by force of 39 lbs parallel to the plane find the elevation of the plane and the pressure on it Define lever Prove the principle of moments for two parallel forces acting on lever An upward force of lbs supports weight of 20 lbs on lever the distance between the forces being inches find the position of the fulcrum and the pressure on it Two equal circular discs each inches in radius with smooth edges placed on their flat sides in the corner between two smooth vertical planes inclined at an angle of 60 touch each other in the line bisecting the angle Find the radius of the least disc which may be pressed between them without