Find the center of mass of a tetrahedron of density p(x,y,z) = x+y+z bounded by the coordinate planes and the plane X Z y +=+==1 5 9 2 OA. IX 35 32 35 16 O D. X= O c. x=- 12 3 OB. X= y= Z= 4 75 32 21- 45 16 .y= 105 64 75 16 16 IN "I 318 -.y= , Z= 225 64 9 20 , Z= 9 16 …..

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the center of mass of a tetrahedron of density p(x,y,z) = x+y+z bounded by the coordinate planes and the plane
X y
Z
+=+= 1
5
9 2
OA.
IX
=
35
32
35
16
12
75
32
105
64
75
16
21 - 45
O c. x=. .y=
16
3
OB. X= .y= Z=
4
16
IN
-
O D. X= -.y=
"I
, Z=
225
64
3180
9
20
-
, Z=
9
16
…..
Transcribed Image Text:Find the center of mass of a tetrahedron of density p(x,y,z) = x+y+z bounded by the coordinate planes and the plane X y Z +=+= 1 5 9 2 OA. IX = 35 32 35 16 12 75 32 105 64 75 16 21 - 45 O c. x=. .y= 16 3 OB. X= .y= Z= 4 16 IN - O D. X= -.y= "I , Z= 225 64 3180 9 20 - , Z= 9 16 …..
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