This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1915 edition. Excerpt: ... this value of tl in (41), 29 where sl is the distance the body will rise. Putting s = 0 in (41), and solving for t, 9 that is, the time of the ascent equals the time of the descent. To find the velocity with which a body, initially at rest, reaches the earth if it falls from a point at a distance h ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1915 edition. Excerpt: ... this value of tl in (41), 29 where sl is the distance the body will rise. Putting s = 0 in (41), and solving for t, 9 that is, the time of the ascent equals the time of the descent. To find the velocity with which a body, initially at rest, reaches the earth if it falls from a point at a distance h above the surface of the earth, we substitute s--0, v0 = 0, s0 = h, and k = g in (39). Therefore v = 2gh (42) 149. The quantity g is determined by observation. We shall adopt for its value g = 32.2 feet per second per second. It is difficult to measure the acceleration produced by gravity from direct observations of a body falling freely, because either the distance fallen must be very great or the time of falling # very small. These difficulties may be obviated somewhat by using Atwood's Machine. The principle of this device is as follows: Two bodies whose weights are respectively TFt and W2, W2, are connected by a weightless string which passes over a pulley P which turns without friction. The tension is therefore the same in all parts of the string. The acceleration of W, downward will be the same as the acceleration of W2 upward. Let T = tension of the string"; a = acceleration of W2 positive upward. The equations of motion of W2 and TFi are respectively T-W2 = a; 9 Wl-T = a; TP,"-W2.: a =--!. q; Wl + W, Having obtained the value of a by observation, we can calculate g. Substituting in equations (37) and (38), we can find at any time the velocity of the bodies and the space through which they have moved. Take as the origin the initial position of W, and suppose the bodies start from rest, then v = at, s = 1 at, v1 = 2 as. The student may find s and v at any time t, supposing that (a) W is projected upward with a velocity...
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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