Component A is bounded by the planes x=0, x=2, z=-y and z= y2 i. Sketch A and find its volume. Components B and C have different geometries and density but must be designed to have equal mass. •Component B occupies the region outside the sphere r=2 cos (p) and inside the sphere r-2 with = [0, π/2]. Assume B has a uniform density of PB. ·Component C is a curved wedge that lies inside the region enclosed by the cylinder (x-2)²+²=4 and the planes 2-0 and 2 =-y. Assume C has a uniform density of ee ii. Sketch B and C. Find the volume of B and C, and the ratio / to achieve equal mass.
Component A is bounded by the planes x=0, x=2, z=-y and z= y2 i. Sketch A and find its volume. Components B and C have different geometries and density but must be designed to have equal mass. •Component B occupies the region outside the sphere r=2 cos (p) and inside the sphere r-2 with = [0, π/2]. Assume B has a uniform density of PB. ·Component C is a curved wedge that lies inside the region enclosed by the cylinder (x-2)²+²=4 and the planes 2-0 and 2 =-y. Assume C has a uniform density of ee ii. Sketch B and C. Find the volume of B and C, and the ratio / to achieve equal mass.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please do all questions with full method
![y and 2= 1/²/
Component A is bounded by the planes x=0, x=2, z=-y and z=
i. Sketch A and find its volume.
Components B and C have different geometries and density but must be designed to have equal mass.
- Component B occupies the region outside the sphere r=2 cos(p) and inside the sphere -2 with € [0, π/2]. Assume B has a
uniform density of PB.
Component C is a curved wedge that lies inside the region enclosed by the cylinder (x-2)²+²=4 and the planes z-O and z = -y.
Assume C has a uniform density of ec
ii. Sketch B and C.
Find the volume of B and C, and the ratio / C
iv. Find the flux of F across S, the surface of C, given that
F(x, y, z)= [2x+cosh (Sy2)] ₁ + [zxe* _bz]; +[1 + xy²] K
V.What is the flux of F across the surface of a spherical body if F(x₁, 412) = Ak
to achieve equal mass.
>
where A is a real and negative constant?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2acbc3bd-375b-4deb-ac17-074e2cf36c97%2F2a64fd8d-4f68-4356-9786-4f96f6fc7a4a%2F8qw5p0q_processed.png&w=3840&q=75)
Transcribed Image Text:y and 2= 1/²/
Component A is bounded by the planes x=0, x=2, z=-y and z=
i. Sketch A and find its volume.
Components B and C have different geometries and density but must be designed to have equal mass.
- Component B occupies the region outside the sphere r=2 cos(p) and inside the sphere -2 with € [0, π/2]. Assume B has a
uniform density of PB.
Component C is a curved wedge that lies inside the region enclosed by the cylinder (x-2)²+²=4 and the planes z-O and z = -y.
Assume C has a uniform density of ec
ii. Sketch B and C.
Find the volume of B and C, and the ratio / C
iv. Find the flux of F across S, the surface of C, given that
F(x, y, z)= [2x+cosh (Sy2)] ₁ + [zxe* _bz]; +[1 + xy²] K
V.What is the flux of F across the surface of a spherical body if F(x₁, 412) = Ak
to achieve equal mass.
>
where A is a real and negative constant?
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