# Calendar: 1896-1897 Page 709

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FACULTY OF SC1ENCK CX1X Apply this to the case of an equilateral triangle revolving round line through its vertex parallel 10 its hasp Find the magnitude and direction of the smallest force which will draw mass of 200 lbs down plane inclined at 30 to the horizon where the limiting angle of friction is 45 Find the equation to the line of resistance in wall with its slope inwards which is built round reservoir wall density of the material 22 foot thick at the top and feet at the bottom is built round reservoir find the depth in order that the line of resistance may cut the base foot within the outside of the wall when the reservoir is full mil Draw diagram of forces for roof of the form indicated where the pitch of the roof is 30ר and the weight is uniformly distributed over the roof and 11 ml the stresses on the several pieces Find the moment of inertia of thin circular lamina about diameter in the central plane of the lamina hence lind the moment of inertia of cylinder about diameter of one end 10 Two rods in all respects equal arc fastened together at one end by hinge and are inclined at equal angles on opposite sides of vertical spindle round which they revolve find where the resultant of the effective forces cuts the spindle and find the relation between the rate of revolu- tion and the inclination of the rods lor steady motion γ

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