Calendar: 1877-1878 Page 606

604 ENGINEERING AND APPLIED SCIENCES string the velocity acquired and the space passed over in seconds In the last example find the acceleration when the pulley is rough and turns on rough axis which is Jth of the diameter of the pulley the limiting angle of friction being 30 Define the line of resistance stone wall whose section is trapezium with one side vertical is subject to tbe pressure of water on its vertical face the height of the wall is 12 ft its thickness ft at the top and 11 ft at the bottom If the wall be twice as heavy as its own bulk of water find the equation to tbe line of resistance and find where it cuts the base What is meant by the energy of moving body mass of lbs is tied to string and rests on rough horizontal table to the other end of the string is tied mass of Ρ lbs which bangs vertically over the edge of the table find the motion neglecting the weight of the string and its friction against the edge of the table Find the least force required to draw weight of 120 lbs up rough plane sin φ 27 which is inclined at an angle of 30 to the horizon and find the pressure on the plane If tbe force ceases to act and the body runs down 500 ft to the bottom how far will it run along the horizontal plane at the bottom Prove that tbe moment of inertia of body about any axis is equal to tbe moment of inertia of tbe body about parallel axis through its centre of gravity together with the moment of inertia of the whole mass supposed to be collected at the centre of gravity Find the moment of inertia of circular disc about tangent to the disc pulley inches in radius turns round horizontal axis and has fine string wrapped round it to one end of which weight equal to the weight of tbe pulley is attached find the angular velocity acquired when the weight has descended through 10 ft EIRST YEAR Shew how to find tbe magnitude and the line of action of the resultant of two concurrent parallel forces weight of