Woolwich Mathematical Papers for Admission Into the Royal Military Academy for the Years, 1880-1890 (Paperback)

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1891 Excerpt: ...and explain the units of reference in that equation. A body weighing 36 lbs. is moved by a constant pressure, which generates in it a velocity of 8 feet per second, find the statical measure of that pressure. 7. A ball is projected vertically upwards with a velocity of r60 feet per second, when it has reached its greatest height it is met in direct impact by an equal ball which has fallen through 64 feet; find the times from the instant of impact in which the balls reach the ground, the elasticity between them being . 8. Assuming the expression for the time of a small oscillation of a pendulum in a circular arc, calculate to two decimal places the length of a second's pendulum in inches. A simple pendulum beating seconds is lengthened by-fa of an inch; find the number of seconds it will lose in 24 hours. 9. A string 4 feet long can just support a weight of 9 lbs. without breaking, a weight of 8 lbs. fixed to one end of the string describes a circle uniformly round the other end, which is fixed on a smooth horizontal table; determine the greatest number of revolutions the revolving weight can make in a minute so as just not to break the string. 10. Determine the time of a small oscillation in a cycloid. 1 r. Show how to find the work accumulated in a moving body. A bullet with an initial velocity of 1500 feet strikes a target 1200 yards distant with a velocity of 900 feet in a second, the range of the bullet being assumed to be horizontal; compare the mean resistance of the air with the weight of the bullet. MATHEMATICAL EXAMINATION PAPERS FOR ADMISSION INTO llogal UtilitarD taiwmg, WiaaMich, July, 1886. PRELIMINARY EXAMINATION. I. EUCLID (books I.--IV. And VI.) Ordinary abbreviations may be employed; but the method of proof must be geometrical. Great ...