Earthquakes and other earth movements earthquakesother00miln Year: 1886 54 EARTHQUAICES. Assuming that the displacement of an earth particle at C equals C B, and at Cj equals c^ 6j, and at C^ equals Cg 62, &c., and let these displacements cb, c^ h^, c^b^, &c., for the sake of argument, vary inversely as r, r^ r^, &c. 1^'. y> â A\X\ Fig. 9. The question is to determine where the horizontal component c A of these normal motions is a maximum. First observe that the triangle 0 c c is similar to a, b, c. Also r = -T -^, and therefore the normal component sm 6 c, 61 at Cj is equal to C â^â,
Earthquakes and other earth movements earthquakesother00miln Year: 1886 54 EARTHQUAICES. Assuming that the displacement of an earth particle at C equals C B, and at Cj equals c^ 6j, and at C^ equals Cg 62, &c., and let these displacements cb, c^ h^, c^b^, &c., for the sake of argument, vary inversely as r, r^ r^, &c. 1^'. y> â A\X\ Fig. 9. The question is to determine where the horizontal component c A of these normal motions is a maximum. First observe that the triangle 0 c c is similar to a, b, c. Also r = -T -^, and therefore the normal component sm 6 c, 61 at Cj is equal to C â^â, Also Cj a, = Cj 6,, cos 0. . c, a = c sin 6 cos 6 h c sin 20 h 2 and sin 2^ is greatest when 2(9 = 90° or ^ = 45°. That is to say, the horizontal component reaches a maximum where the angle of emergence equals 45°. This question has been discussed on the assumption that the amplitude of an earth particle varies inversely as its distance from the origin of the shock. Should we, however, assume that this amplitude varies inversely as the square of the distance from the origin, we are led to the result that the area of greatest disturbance is nearer to the point where the angle of emergence is 56° 44' 9'.
Size: 1456px × 1374px
Photo credit: © Bookend / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: archive, book, drawing, historical, history, illustration, image, page, picture, print, reference, vintage
