Calendar: 1873-1874 Page 557

APPLIED SCIENCES 557 the position of equilibrium and the pressures on the point and against the wall 11 body falls in the same time down two inclined planes drawn respectively from two given points in the same vertical to any assumed point on surface Find the form of the surface 12 Define Moment of Inertia '' If rectangular bar oscillates about an axis perpendicular to its length determine the motion and prove the relation between the positions of the axes of suspension and of oscillation and show that the bar will oscillate in the same period if these axes be interchanged How has this property been employed to determine the length of the second's pendulum FIRST YEAR Prove the parallelogram of forces as far as the magnitude of the resultant is concerned The resultant of Ρ and is 16 lbs when their directions con- tain an angle of 60 and 20 lbs when they contain an angle of find Ρ and IB is straight rod 16 ft long point ft from the rod rests on peg at and is kept horizontal by peg placed over it at Β weight of 20 lbs is hung at find the pressure on the peg 1st neglecting the weight of the rod 2nd supposing the rod to be uniform and weighing lbs Find the centre of gravity of triangular lamma BCD is rectangular lamma of wood AB 12 inches and AD inches in length triangular piece DOC is cut out such that OB inches find the distance of the centre of gra- vity of the remainder from DC AB Β יי uniform bar feet long turns on fulcrum ft from