Answers for x-, y-, and z- should be put into mm please!
Answers for x-, y-, and z- should be put into mm please! Chapter 5, Problem 5/040...
Chapter 5, Problem 5/054 GO Tutorial Determine the x, y, and 2-coordinates of the mass center of the body constructed of three pieces of uniform thin plate which are welded together. 380 mm 380 mm 200 mm 85 mm 155 mm 260 mm Answers
1. Using polar coordinates in the x-y plane, find the volume of the solid above the cone z r and below the hemisphere z= v8-r2. As a check the answer is approximately 13.88 but of course you have to calculate the exact answer 2. At the right is the graph of the 8-leafed rose r 1+2cos(40) Calculate the area of the small leaf. As a check the answer is 0.136 to 3 places of decimal (But of course you have...
5. If F = (x, y, z), a = (a1, 22, a3) and 6 = {b1,b2,63), show that the vector equation (F- ā) . (-6)=0 is the equation of a sphere. What are the coordinates of the center of this sphere? What is the radius of the sphere?
5. This problem uses cylindrical coordinates. (a) Express x, y and z in terms of unit vectors in cylindrical coordinates s, ф and г. (b) Find the divergence of the function u = s(2 + sín2ф)s + s sin φ cos φ φ + 322, [3] 13)
Problem 2. A small charged conducting sphere with q25.0 x 10-12C and radius 5 mm is placed at the centre of a spherical conducting shell of inner radius 5.00 cm and outer radius 6.00 cm. The spherical shell has zero net charge. (a) What is the electric field between the inner and outer surfaces of the spherical shell? b) What is the surface charge density on the inner surface of the shell? (c) What is the surface charge density on...
Problem 2. A sma charged conducting sphere with 25.0 x 10-12C and radius 5 mm is placed at the centre of a spherical conducting shell of inner radius 5.00 cm and outer radius 6.00 cm. The spherical shell has zero net charge. (a) What is the electric field between the inner and outer surfaces of the spherical shell ? (b) What is the surface charge density on the inner surface of the shell? (c) What is the surface charge density...
Hi, I need help solving number 13. Please show all the steps, thank you. :) Consider the solid Q bounded by z-2-y2;z-tx at each point Р (x, y, z) is given by mass of Q [15 pts] 9. x-4. The density Z/m 3 . Find the center of (x, y, z) [15 pts] 10. Evaluate the following integral: ee' dy dzdx [15 pts] 11. Use spherical coordinates to find the mass m of a solid Q that lies between the...
Problem 5 Suppose X and Y are independent random variables following Uniform[0, 1]. Let Z- (X +Y)/2. (1) Calculate the cumulative density of z. (2) Calculate the density of Z. Problem 5 Suppose X and Y are independent random variables following Uniform[0, 1]. Let Z- (X +Y)/2. (1) Calculate the cumulative density of z. (2) Calculate the density of Z.
21 Problem 20. Let S be the surface bounded by the graph of f(x,y)-2+y2 . the plane z 5; Os1; and .0sys1. In addition, let F be the vector field defined by F(x, y,z):i+ k. (1) By converting the resulting triple integral into cylindrical coordinates, find the exact value of the flux integral F.n do, assuming that S is oriented in the positive z-direction. (Recall that since the surface is oriented upwardly, you should use the vector -fx, -fy, 1)...
1. An infinite line of uniform positive charge runs along the x axis and has a line charge density of λ=20.8 m nC . Consider the point (0 m, 2.00 m) which is located 2.00 meters above the infinite line. What is the magnitude of the electric field at this point? 2. An infinite horizontal plane of uniform negative charge sits at a height ofz=0. For a point at a height of z=−3m (i.e., 3 meters below the infinite plane),...