Calendar: 1864-1865 Page 558

560 APPLIED SCIENCES JUNIOR SCHOLARSHIP -natural Jl tlo£opI Prove that when two equal forces act on particle their resultant is represented in direction by the diameter of the rhombus described on the lines representing the forces Prove the parallelogram of forces with respect to the magnitude of the resultant Two forces of lbs have resultant equal to 12 lbs Find the cosine of the angle between the forces What are the properties of the Centre of Gravity From what property may the centre of gravity of body be found by experiment From what property may the distance of the centre of gravity of any number of weights from given plane be calculated statue weighing 10 cwt is placed on pedestal weighing tons supported by base weighing tons The centre of gravity of the statue is 10 feet from the ground that of the pedestal feet and that of the base foot Find the height of the centre of gravity of the whole What is work and how is it measured If man of 150 lbs can ascend hill 1760 feet high in an hour what is his per- formance expressed in horse-power What must be the horse power of blowing engine to supply 100 cubic feet of air per second at ressure of one pound per square inch If he the space described by body in time under the action of constant force whose accelerating effect show that ft body is thrown upwards with velocity of 24 feet per second find its height after one second VI If train begins to ascendjan incline of in 100 with velocity of 60 feet per second find how far it will go friction being lbs per ton If after coming to rest it be allowed to descend the incline how far will it run along the horizontal plane