Calendar: 1899-1900 Page 774

CXXU FACULTY OF SCIENCE Shew that the of the larger segment of circle of radius inches cut off by chord equal to the radius is distant 1638 inches from the centre wall of brickwork feet thick at the top and feet thick at the bottom supports the pressure of water reaching to its top how high may it be so that it shall not be over- thrown body of mass 10 lbs is attached by string feet long to fixed point and is set swinging round in horizontal circle so that the string always makes an angle 30 with the vertical Find the time of complete revolution and the tension of the string 10 Shew that the moment of inertia of uniform rod of length and mass about its middle point is fyml2 What is the moment about any other point Shew that if the rod is 12 inches long and is hung from any point of itself and allowed to execute small oscillations that point of suspension for which the oscillations will be most rapid is distant 3464 inches from the middle of the rod 11 Find the stresses in the parts of uniformly loaded roof of the annexed design ABC being an equilateral triangle and AD ΑΈ inclined at 45 to the horizon BF CG being at right angles to AD ΑΈ and the whole weight being 000 lbs 5985