Calendar: 1886-1887 Page 699

APPLIED SCIENCES 701 Find the area of the surface and the volume of the solid generated by the complete revolution of right-angled triangle having two sides each ft in length about its hypothenuse Draw diagram of forces for and find the strains on the pieces of the roof ABC where the pitch of the roof ie 45 and where AF and FB are each inclined at an angle of 15 to the rafter AB The whole roof weighs 800 lbs mass of lb is attached by string feet in length to fixed point about which it is made to describe vertical circle under the action of gravity If the velocity of the body at the highest point of the circle be 16 feet per second find the tension of the string when the mass is at the top and when it is at the bottom of its path 10 Prove that the moment of inertia of thin circular lamina about an axis through its centre and perpendicular to the lamina is -p -4 where ρ is the density the thickness and the radius of the lamina Shew that the moment of inertia about the axes through the centre perpendicular to the lamina is double the moment of inertia about diameter of the circle FIRST YEAR stone projected vertically upwards reached the ground again in seconds What was its height above the ground at the end of the first second