ex014 - "W twig-5n O »ab —ac —01C 5190 2(azfloz...

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Unformatted text preview: / "W twig-5n, O. »ab —ac [ } —01C 5190 2(azfloz) ‘ ML W 1 ,L ‘L M— ab ac E&=[b/+}) [113:m(a—il%ic— [11—71; ab 5‘ bcj> 5/4 ac Joe C2 _ , b1+ c1 ~ab uac 2 2T0] ‘[1T): 5?? L «ab az+ c”Z Ibo 1 ...0(C ——bc b1+61 gym—W Mafia,” [To] =ZTGJ {Ir}, Mofe: £13] mm: Gib 3011“? bC be "MVOIx/éi 7n ac b c; 3(b%(1) eccln ’rramslafron, ii??§?;“§‘€a?3‘i”" math Myth em drab Resulfs Out[l]= 1 racial) ab ac \ In[2}:= f[l]=x ‘ Outt21= x W D‘n 0m In[3]:= f[2]=y . K ..o \ Out[31= y 1653’ W W a In[4]:= f[3]=z Out[4]= z , In[5]:= f[4]=y“2+zA2 2 2 Out[5]= y + z In[6]:= f[5]=x“2+z“2 2 2 Out[6]= x + z In[7]:= f[6]=x“2+y“2 2 2 Out[7]= x + y In[8]:= f[7]=~x y Out[8]= —(x y) In[9]:= f[8]=-x z Out[9]= -(x Z) In[10]:= f[9]=— y z Out[101= -(y z) In[1l]:= For[i=0,i<=9,i++,(fxy=Integrate[f[i],{z,0,-c x/a—c y/b+c}]; fx=Integrate£fxy,{y,O,—b x/a+b}]; q[i]=Integrate[fx,{x,0,a}];)] In[12]:= volume=q[0] b a b c Q. Out[12]= —~——— V: “G 6 In[13]:= xbar=q[l]/volume a Out[13]= - 4 In[14]:= ybar=q[2]/volume , 61%; b ._ Out[l4]= - Q“ W4, 4 . In[15]:= zbar=q[3]/volume 6/2; c Out[15]= - 4 In[16]:= normalize=volume/m k) ‘ a b c Q C: Out[16]= —-—-— YY]: \i“ 6 m f f) (7 In[l7]:= Ixx=q[4]/normalize 2 2 \ (b + c ) m ,_ m 1' Out[l7]= ————————— —— IXX' m ((01% 10 In[18]:= Iyy=Simplify[q[5]/normalize] 2 2 (a + c ) m '1. ‘9 Out[18]= ————————— —— 1‘33: 1:15 a +0 10 In[19]:= Izz=Simplify[q[6]/normalize] 2 2 . (a + b) m ‘ : Q7467) Out[19]= ————————— —— 138 H9( 10 In[20]:= Ixy=Simplify[q[7]/normalize] —(a b m) M b Out[20]= —————— -— I —< {~01 20 “9 20 . In[21]:= Ixz=simp1ify[q[8]/normalize] -(a C m) 1 m Out[21]= ------ -- x' ==“ "’ 20 3 20 In[22]:= Iyz=Simplify[q[9]/normalize] -(b c m) Out[22]= —————— —— 1‘35: —%b0 20 In[23]:= Exit ...
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