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| Show all threads Hide all threads Show all messages Hide all messages | | Do I understand that problem can solved without mass? | SpBerkut | 1372. Death Star | 13 Nov 2012 19:09 | 1 | I need to cаlculate sum of torques about axes, right.
T = ∑F·d = 0, where T is torque, F is vector of force, d is distance from F to center of sphere.
Is it right? | | 1372- Ambiguous solution? | svr | 1372. Death Star | 19 Jun 2009 20:03 | 5 | It seems that this problem very simple.
Let F=[v1,F1]+...+[vN,FN]- sum of moments of forces,
where vi=(cos(fi)cos(hi),cos(fi)sin(fi),sin(fi))- vector
of point and Fi=(cos(qi)cos(zi),cos(qi)sin(zi),sin(qi))-
vector of force Fi.
Let V,G- point and force to be found.
Then we have [V,G]=-F,|G|->min;
We must have V- is normal to F=>V any point on meridian
and G=-[V,F]-calculated after
Thus solution ambiguous even with demand |G|->min And why do you think that this problem must have an unique answer? Any correct answer will be OK. Because when many solutions how can we check
that difference with test's answer <=1E-8 This problem has special checking program. It doesn't use the difference between your answer and jury's one. Everything needed to solve this problem is told in the first post!
And there is only simple 3D-geometry. | | misprint in statement, admins please read this message | Alias (Alexander Prudaev) | 1372. Death Star | 2 Apr 2007 01:16 | 2 | int russian variant of statement word "engine" in line:
"Next line of input contains krypton engine description"
is written twice
Далее идет информация о работающих криптоновых двигателях двигателях | | Clarification is required. | Igor Dex | 1372. Death Star | 14 Oct 2005 17:54 | 3 | 1 What is the precision of the output required in this problem? There are 8 digits in the text, but only 2 digits in the sample output.
2 It's not clear if it is possible to use the jet thrust less than 1 or more than 100000?
Edited by author 06.10.2005 04:46
Edited by author 14.10.2005 12:02 1. 270.00 is equal to 270.00000000. Are you agree?
2. Don't worry about it. | | Sample | {AESC USU} UdH-WiNGeR | 1372. Death Star | 12 Oct 2005 01:31 | 3 | Sample {AESC USU} UdH-WiNGeR 30 Sep 2005 23:29 I think the sample of this problem is incorrect.
My AC program outputs:
0.00000000 0.00000000 270.00000000 0.00000000 156.50000000,
but sample output is oposite to this
P.S. sorry for my poor English.. It seems, you are right. Probably, misprint. Fixed (+) Vladimir Yakovlev (USU) 12 Oct 2005 01:31 First number in the sample output was replaced by "0.00" |
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