Calendar: 1871-1872 Page 535

APPLIED SCIENCES 535 100 lbs per cubic foot will the wall stand wben the reservoir is two-thirds full of water supposing the adhesion of the cement perfect What is meant by the principles of virtual velocities Apply the principles of virtual velocities to determine the position of equilibrium of two spheres of uniform density resting upon two smooth inclined planes State exactly what is meant by the work accumulated in or vis viva of moving point railway truck weighs 12 tons and is drawn from rest by horse through distance of 50 feet and is then moving at the rate of three miles per hour if the resistances are lbs per ton how many units of work must the horse have done on the truck If two bodies projected at the same instant from different points in the same horizontal plane have at any instant equal elevations show that their elevations are equal at every instant 10 The centres of oscillation and suspension of compound pendulum are reciprocal prove this and show how you would determine by such pendulum the accelerating force of gravity at any point on the surface of the earth 11 Define moment of inertia 'radius of gyration Find the moment of inertia of cylinder about line through its centre at right angles tb its axis the length of the cylinder being and the radius of its base FIRST YEAR Enunciate and prove the parallelogram of forces Two forces of and 33 lbs act upon point at an angle of 60 required the resultant rod Β weighs 10 lbs and is found to balance about point feet distant from weight of lbs is fastened to about what point will the rod now balance Define centre of gravity Show how to find the centre of gravity of triangular lamina Five pulleys each weighing lbs are arranged according to the first system what weight will be supported by power of 20 lbs