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  Item Reference: KCLCAL-1876-1877-604

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604 ENGINEERING AND APPLIED SCIENCES FIRST YEAR Define the resultant of any number of forces If three forces acting at point are in equilibrium prove that each of these forces is equal to the resultant of the other two and opposite in direction efine the term Centre of Gravity pole 60 ft long balances on log put under it 35 ft from one end and it also balances on the log put under its centre when weight of SO lbs is placed at one end and one of 160 lbs at the other find tbe weight of the pole Find the power necessary to sustain weight of 100 lbs with three movable pulleys and one fixed pulley arranged ac- cording to the third system tbe weight of the pulleys being each ozs find also where the weight should be attached if each pulley is in in diameter screw is made to revolve by force of lbs applied at the end of lever 35 ft long if the distance between the threads be in what pressure can be produced balloon has oeen ascending vertically at uniform rate for 4J sees and stone let fall from it reaches the ground in sees find the velocity of the balloon and the height from which the stone is let fall Describe Atwood's machine and shew how it may be used to prove that the velocity acquired by falling bodies varies with the time of falling and that the space described varies with the square of the time Two weights of 15J ozs and 16 ozs connected by thread hang over pulley motion continues for sees when the string breaks To what height will the lighter weight ascend and how far will the heavier weight fall in sees after the breaking of the string plane rises in and block of wood projected up it with velocity of 60 ft per second find how far up the plane it will go 1st supposing the plane to be smooth 2nd supposing tbe plane to be rough the weight of the wood to be 10 lbs and the coefficient of friction to be
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