Calendar: 1885-1886 Page 699

APPLIED SCIENCES 691 FIRST YEAR State the three laws of motion Give an example of each and show how the first and third laws may be ap- proximately proved by means of Attwoods machine From point in smooth plane which rises 15 feet in 100 body is projected with velocity of 483 feet per second after how many seconds will it come to rest What is the vertical height and horizontal space passed over during that interval smooth plane is inclined at 30 to the horizon and is 3864 feet long weight of lbs hanging vertically over the top draws by means of weightless string weight of lbs up the plane Find the time this weight takes to pass from the bottom to the top of the plane and also the velocity it has at the top If at this instant the string is cut find the position of the highest point reached by the weight From heavy plate whose shape is that of an equilateral triangle square is cut all the corners of which lie in the sides of the triangle Find the distance of the centre of gravity of the remainder from the vertex of the triangle when the length of the sides of the triangle is If lb ft 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 mass of 48 lbs is tied on string 21 inches long at point inch from the middle of the string and the two ends of the string are attached to two points 15 inches apart in the horizontal line find the tensions onthem and their inclinations to the horizon Find the position of the centre of gravity of triangular area and show that it coincides with the centre of gravity of three equal weights placed at the angles of the triangle uniform bent lever weighing ounces with arms feet and feet long turns on fulcrum at the bend the