Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
I have the problem attached. I also have the formula that will help from the book. I also added some key ideas to help you and you will find that in the attachment of a page from a book, but on the top left. I wrote what you might possibly need. I just think i have my integrals wrong but I do know that the first integral goes to 2 pi.

I have the problem attached. I also have the formula that will help from the book. I also added some key ideas to help you and you will find that in the attachment of a page from a book, but on the top left. I wrote what you might possibly need. I just think i have my integrals wrong but I do know that the first integral goes to 2 pi.

icon
Related questions
Question
100%

I have the problem attached. I also have the formula that will help from the book. I also added some key ideas to help you and you will find that in the attachment of a page from a book, but on the top left. I wrote what you might possibly need. I just think i have my integrals wrong but I do know that the first integral goes to 2 pi. 

F = prce by spherically symmetric mass shells loc of radius r, often referred to as the interior P between the top of the cylinder and the bot force per unit area exerted on a surface, or SOME KEYS TO SOLVING IT r2 21IT R? -G Mr PAdr to Problem 10.2). force per unit area exerted on a surface, 2. or (3) → -> nottod F A FG 11 expres e to the different forces exerted on cach surface, the differential force may be d Fp = Ad P. (10: ostituting Eqs. (10.2) and (10.3) into Eq. (10.1) gives ing d²r dm- dt2 M, dm -G r2 - AdP. (10 e density of the gas in the cylinder is p, its mass is just dm3D pAdr, re A dr is the cylinder's volume. Using this expression in Eq. (10.4) yields d²r PAdr dt2 M,pA dr :-G - AdP. - r2 ly, dividing through by the volume of the cylinder, we have d²r MrP = -G r2 d P dt2 dr s the equation for the radial motion of the cylinder, assuming spherical $yl ma
Transcribed Image Text:F = prce by spherically symmetric mass shells loc of radius r, often referred to as the interior P between the top of the cylinder and the bot force per unit area exerted on a surface, or SOME KEYS TO SOLVING IT r2 21IT R? -G Mr PAdr to Problem 10.2). force per unit area exerted on a surface, 2. or (3) → -> nottod F A FG 11 expres e to the different forces exerted on cach surface, the differential force may be d Fp = Ad P. (10: ostituting Eqs. (10.2) and (10.3) into Eq. (10.1) gives ing d²r dm- dt2 M, dm -G r2 - AdP. (10 e density of the gas in the cylinder is p, its mass is just dm3D pAdr, re A dr is the cylinder's volume. Using this expression in Eq. (10.4) yields d²r PAdr dt2 M,pA dr :-G - AdP. - r2 ly, dividing through by the volume of the cylinder, we have d²r MrP = -G r2 d P dt2 dr s the equation for the radial motion of the cylinder, assuming spherical $yl ma
1) Prove that the gravitational force on a point mass m located in the center of a hollow spherically symmetric shell with mass M is zero. Assume that the radius of the inside surface of the shell is r, and the radius of the outside surface r2. Use dF, and dM and integrate in spherical coordinates. Since in this problem the direction of the force is important, use î = sin 0 cos o £ + sin 0 sin o ŷ + cos 0 2, with £, ŷ and 2 independent of 0 and p. Use A = p2 sin 0 d0 dp (blue area in figure). rsin@dộ • rde de y
Transcribed Image Text:1) Prove that the gravitational force on a point mass m located in the center of a hollow spherically symmetric shell with mass M is zero. Assume that the radius of the inside surface of the shell is r, and the radius of the outside surface r2. Use dF, and dM and integrate in spherical coordinates. Since in this problem the direction of the force is important, use î = sin 0 cos o £ + sin 0 sin o ŷ + cos 0 2, with £, ŷ and 2 independent of 0 and p. Use A = p2 sin 0 d0 dp (blue area in figure). rsin@dộ • rde de y
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer