A narrow uniform rod has length 2a. The linear mass density of the rodof the rod is plis p, so the mass m of a lengthPart AA point mass is located a perpendicular distance from the center of the rod. Calculate the magnitude of the force that the rod exerts on the point mass. (Hint: Let the rod be along the y-axis with the center of the rod at the origin,and divide the rod into infinitesimal segments that have length dy and that are located at coordinate y. The mass of the segment is dm = pdy. Write expressions for the I- and y-components of the force on the point mass, andintegrate from a to +a to find the components of the total force).Express your answer in terms of the gravitational constant G and some or all of the variables m, p, a, and r.ΠΙΑΣΦ?F=SubmitRequest AnswerPart B1+nz+n(n+1)2!-2² +·2³ +... (|z| < 1).)What does your result become for a r? (Hint: Use the power series (1+z)"Express your answer in terms of the gravitational constant G and some or all of the variables m, p, a, and r.ΠΙΑΣΦ?F =SubmitRequest Answern(n−1)(n−2)3! A narrow uniform rod has length 2a. The linear mass density of the rodis p, so the mass m of a length of the rod is pl.Partn(n+1) n(nWhat does your result become for a r? (Hint: Use the power series (1+z)" =1+nz ++21Express your answer in terms of the gravitational constant G and some or all of the variables m, p, a, and r.ΠΑΣΦ?F =SubmitRequest AnswerPart CFor a > r, what is the gravitational field = Fg/m at a distance from the rod?Express your answer in terms of the gravitational constant G and some or all of the variables m, p, a, and T.ΠΙΑΣΦRequest AnswerPart DConsider a cylinder of radius 7 and length L whose axis is along the rod. As in part C, let the length of the rod be much greater than both the radius and length of the cylinder. Then the gravitational fieldof the cylinder and perpendicular to it, so the gravitational flux Pg through this surface is equal to gA, where A 2TL is the area of the curved side of the cylinder. Calculate this flux. Write your resultportion of the rod that is inside the cylindrical surface.Express your answer in terms of the gravitational constant G and variable M.[Π ΑΣΦ 3?$g =SubmitRequest AnswerSubmit1)(n-2)3!-I³+... (I < 1).)constant on the curved sideterms of the mass M of the

Answered: Image /qna-images/answer/ce8a3fb0-e60b-48c1-ba3b-28be23a5a5e6.jpg

A narrow uniform rod has length 2a. The linear mass density of the rod of the rod is pl. is p. so the mass m of a length Part A A point mass is located a perpendicular distance from the center of the rod. Calculate the magnitude of the force that the rod exerts on the point mass. (Hint: Let the rod be along the 3-axis with the center of the rod at the or and divide the rod into infinitesimal segments that have length dy and that are located at coordinate . The mass of the segment is dm = pdy. Write expressions for the Z- and 3-components of the force on the point mass. integrate from a to a to find the components of the total force). Express your answer in terms of the gravitational constant G and some or all of the variables m, p, a, and r. τVE ΑΣΦ 5 → C DIG ? P= Submit Request Answer Part B n(n+1) + n(n 1)(n−2) 3! What does your result become for a r? (Hint: Use the power series (1+z)" =1+nz+ Express your answer in terms of the gravitational constant G and some or all of the variables m, p, a, and r [-]ΑΣΦ 1 C ? P= Submit Request Answer

A narrow uniform rod has length 2a. The linear mass density of the rod of the rod is pl. is p. so the mass m of a length Part A A point mass is located a perpendicular distance from the center of the rod. Calculate the magnitude of the force that the rod exerts on the point mass. (Hint: Let the rod be along the 3-axis with the center of the rod at the or and divide the rod into infinitesimal segments that have length dy and that are located at coordinate . The mass of the segment is dm = pdy. Write expressions for the Z- and 3-components of the force on the point mass. integrate from a to a to find the components of the total force). Express your answer in terms of the gravitational constant G and some or all of the variables m, p, a, and r. τVE ΑΣΦ 5 → C DIG ? P= Submit Request Answer Part B n(n+1) + n(n 1)(n−2) 3! What does your result become for a r? (Hint: Use the power series (1+z)" =1+nz+ Express your answer in terms of the gravitational constant G and some or all of the variables m, p, a, and r [-]ΑΣΦ 1 C ? P= Submit Request Answer

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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