bartleby.com/questions-and-answe SEARCH & ASK CHAT Vx MATH SOLV a) Total mas (m) - lamina is given by- mais In polar coordivaty dady - rdrdo dA- dady m 2 m = || 3n2 rdrdo 4- 0 to 1 o to 72 m<3 八 3 drdo M= 3 14 do I do m = - Moment o lamina about x-axis Mx= y S(xiy) dA My = (* Sin ) 3n² rdr do

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Please am unable to see the answers that you gave me here. Can this be rectified. The picture is poorly written as some numbers can't be seen

A lamina occupies the past of the disk  x2 +y2<or equal  to 1  . In the first quadrant and the density at each point is given by function p(x,y)=3(x 2 +y 2 ).

A. What is the total mass, the moment about the x-axis and moment about the y-axis?

b. Where is the center of mass?

c. What is the moment of inertia about the origin?

d.What is the moment of inertia

 

m= 3
14:27 L M
90
bartleby.com/questions-and-answe
4
Q SEARCH & ASK
5 CHAT
Vx MATH SOLV
a) Total mas (m) -
lamina is given by-
mars
In polan coordivatey
dady = rdrdo
d A-dady
m 2
| 272 ndrdo
=)
m =
4→0 to 1
a → 0 to 72
m=3
a3drdo
do
I do
m =
35
- Moment 6) lamina about x-axis
Ma= y scay) dA
Mx = l(x Sin 8) 3n² rdr do
Mx = 3
Sin@do
a/2
Mx = 3
Mx= 3 [-co -col
Mx
|-0+1]
Mr = 3/5
Moment
of
lamina alout
anis
My= JS x SCa.y) dA
r cono
3r2 rdadO
My= J
My = 3
coso do
3.
Transcribed Image Text:m= 3 14:27 L M 90 bartleby.com/questions-and-answe 4 Q SEARCH & ASK 5 CHAT Vx MATH SOLV a) Total mas (m) - lamina is given by- mars In polan coordivatey dady = rdrdo d A-dady m 2 | 272 ndrdo =) m = 4→0 to 1 a → 0 to 72 m=3 a3drdo do I do m = 35 - Moment 6) lamina about x-axis Ma= y scay) dA Mx = l(x Sin 8) 3n² rdr do Mx = 3 Sin@do a/2 Mx = 3 Mx= 3 [-co -col Mx |-0+1] Mr = 3/5 Moment of lamina alout anis My= JS x SCa.y) dA r cono 3r2 rdadO My= J My = 3 coso do 3.
14:27 L
90
bartleby.com/questions-and-answe
4
SEARCH
& ASK
CHAT
Vx MATH SOLV
Mya 3
b) Cente_ 9
mais.
ī cordinate-
My
315
3778
%3D
y Coordinate-
My
3/5
%3D
3778
ys/8
centre oq man
c) Moment
Inertia about ongin-
I =
n2 312ndad@
エ-
I =
do
95 dr
I: 35 (
=) I =
Rate this solution
* Students 2
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Transcribed Image Text:14:27 L 90 bartleby.com/questions-and-answe 4 SEARCH & ASK CHAT Vx MATH SOLV Mya 3 b) Cente_ 9 mais. ī cordinate- My 315 3778 %3D y Coordinate- My 3/5 %3D 3778 ys/8 centre oq man c) Moment Inertia about ongin- I = n2 312ndad@ エ- I = do 95 dr I: 35 ( =) I = Rate this solution * Students 2 who’ve seen this question also like:
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