Calendar: 1867-1868 Page 490

APPLIED SCIENCES 491 ration at Ascension Also how many beats does the pendulum gain in day at Konigsberg 12 What are the principles from which the motions of elastic bodies after impact are deduced ball whose coefficient of elasticity is and weight lb impinges obliquely on smooth fixed plane in direction making with the perpendicular to the plane an angle whose cosine is Find the work lost by the impact its velocity before impact being 30 feet per second After what time will its vertical velocity be destroyed FIRST YEAR State the principle of Transmission of Force Prove that when two equal forces act on particle their resultant is represented in direction by the diameter of the parallelogram described on the lines representing the forces How may this proposition be extended to the case of unequal forces Two forces of 12 lbs have resultant equal to 16 lbs Find the cosine of the angle between the two forces Define lever and state the principle of the lever Give instances of the three kinds of levers and apply the principle to find the relation between the power and weight in each kind From what property may the centre of gravity of body be found by experiment When is body in stable equilibrium Several planks each 10 feet long are laid one upon another on bench the lowest projects feet over the edge of the bench and each plank projects inches beyond the one below it How many planks may be so laid on before the whole will topple Find the relation between the power and weight on the inclined plane when the power acts horizontally Explain how