Calendar: 1868-1869 Page 503

APPLIED SCIENCES φ with the wall and meeting the surface in with as centre and AC as radius describe circle cutting AB in then the pressure is the same as that of liquid of the same specific gravity as tbe earth and whose depth is BD 10 What is meant by the energy" of body and Β are two balls whose relative elasticity 18 and the mass of is double that of if they move in opposite direc- tions the velocity of Β being double that of find the velocities after impact also find the loss of energy 11 Weights Ρ and are placed upon two inclined planes two cords attached to the weights pass over the summits of the planes and then descending vertically are both attached to weight descends vertically and draws up Ρ and find the acceleration and the tension of each string 12 When body describes an arc of vertical circle show that the change in velocity between any two points is the same as if the body fell vertically through the same height pendulum which should beat seconds is found to lose 15 seconds day Determine the quantity by which its length should be increased or diminished FIRST YEAR Explain clearly how forces may be properly represented by straight lines What advantage is obtained by so representing them State the parallelogram of forces and assuming it for the direction show its truth for the magnitude of the resultant Two forces of lbs and lbs act at an angle of 60 find their resultant What is lever When two parallel forces act on straight lever find the con- ditions which must be satisfied in order that the lever may remain in equilibrium If the forces at the ends of the arms of horizontal lever