Calendar: 1877-1878 Page 607

ENGINEERING AND APPLIED SCIENCES 605 100 lbs is slung from pole which rests on the shoulders of two men and The distance between the points where the pole presses their shoulders is 10 feet and the point where the weight is slung is feet from the point where the pole presses on A's shoulder Find the weight borne by each the weight of the pole being neglected uniform lever 10 feet long balances about point foot from one end when loaded at that end with 50 lbs Find the weight of the lever Four pulleys each weighing lbs are arranged accord- ing to the first system according to the third system Find what power must be employed in each case to balance weight of 600 lbs stone is thrown horizontally from the top of tower 64 feet in height and at the same instant another stone is thrown up vertically with velocity of 96 feet per second find the number of seconds that elapse after the first stone has reached the ground before the second reaches the ground Also find at what angle the first stone strikes the ground When particle moves under the action of constant force show that the space described is equal to the product of the mean velocity and the time The velocity of body increases from 40 to 73 feet per second in seconds find the space described and the acceleration State the third law of motion Apply it to find the acceleration aDd tension of the string when weight descending vertically draws another weight up smooth inclined plane Find the acceleration and the tension when the weights are equal and the plane inclined at an angle of 30 to the horizon In the third system of pulleys there is one fixed and one moveable pulley and the power Ρ is not sufficient to keep the weight at rest find the accelerations and the tensions of the strings Find the position of the centre of gravity of plane triangle and show that it coincides with that of three equal weights placed at the angles of the triangle