# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a353770 Showing 1-1 of 1 %I A353770 #6 May 07 2022 09:41:12 %S A353770 4,1,9,7,5,7,3,3,9,8,8,7,1,0,6,2,9,1,8,7,3,7,4,7,6,8,7,2,0,0,8,1,3,9, %T A353770 0,9,6,0,5,8,5,6,1,0,2,7,6,1,7,7,2,6,6,1,3,8,7,8,2,7,5,6,1,7,1,2,7,6, %U A353770 5,7,4,5,1,0,4,7,7,6,7,5,7,6,6,1,4,8,8,7,0,3,0,2,5,9,9,8,8,7,0,6,4,5,9,7,1 %N A353770 Decimal expansion of the gravitational acceleration generated at a vertex by a unit-mass cube with edge length 2 in units where the gravitational constant is G = 1. %C A353770 The absolute value of the gravitational attraction force between a homogeneous cube with mass M and edge length 2*s and a test particle with mass m located at the cube's vertex is c*G*M*m/s^2, where G is the gravitational constant (A070058) and c is this constant. %C A353770 The vertices are the positions where the gravitational field that is generated by the cube on its surface attains its minimum absolute value. %H A353770 Murray S. Klamkin, Extreme Gravitational Attraction, Problem 92-5, SIAM Review, Vol. 34, No. 1 (1992), pp. 120-121; Solution, by Carl C. Grosjean, ibid., Vol. 38, No. 3 (1996), pp. 515-520. %H A353770 J. A. Lira, If the Earth were a cube, what would be the value of the acceleration of gravity at the center of each face?, Physics Education, Vol. 53, No. 6 (2018), 065013. %H A353770 Eric Weisstein's World of Physics, Cube Gravitational Force. %H A353770 Eric Weisstein's World of Physics, Polyhedron Gravitational Force. %F A353770 Equals (sqrt(3)/2)*(Pi/12 + log(sqrt(2) + 1) - log(sqrt(3) + 2)/2). %e A353770 0.41975733988710629187374768720081390960585610276177... %t A353770 RealDigits[(Sqrt[3]/2)*(Pi/12 + Log[Sqrt[2] + 1] - Log[Sqrt[3] + 2]/2), 10, 100][[1]] %Y A353770 Cf. A353769, A353771, A353772, A353773. %Y A353770 Cf. A070058, A336274, A353407. %K A353770 nonn,cons %O A353770 0,1 %A A353770 _Amiram Eldar_, May 07 2022 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE