6. (extra credit) Find the center of mass of a region inside a circle of radius a if the density at any point is proportional to its distance from the center. (Either compute the center, or guess it...
how is this done? urgent. (1 point) Find the center of mass (r, of the lamina which occupies the region if the density at any point is proportional to the distance from the origin x= 0 (1 point) Find the center of mass (r, of the lamina which occupies the region if the density at any point is proportional to the distance from the origin x= 0
2. Find the center of mass of the solid inside the sphere of radius a > 0, above z= 0, and below x2 + y2 given that the density is inversely proportional 3 to the distance squared from the origin.
(1 point) A disk of radius 4 cm has density 14 g/cm2 at its center, density 0 at its edge, and its density is a linear function of the distance from the center. Find the mass of the disk. mass = (Include units.) (1 point) A disk of radius 4 cm has density 14 g/cm2 at its center, density 0 at its edge, and its density is a linear function of the distance from the center. Find the mass of...
Suppose E is the half-cylinder described by 2y2 between z and the ry-plane where y 2 0. Suppose further that the density at each point in E is proportional to the distance from the z-axis. (a) (6 points) Find an expression for the mass of E as a triple integral. Then briefly explain why this integral is difficult to compute Suppose E is the half-cylinder described by r' +ґ-1 between z = 4 and the xy-plane where y > 0....
please show all your steps nice and clearly. will like! thanks! 4. A lamina occupies the region inside the circle x2 + y2 = 2y but outside the circle x2 + y2 =1. Find the center of mass if the density at any point is inversely proportional to its distance from the origin
Suppose E is the half-cylinder described by 2y2 between z and the ry-plane where y 2 0. Suppose further that the density at each point in E is proportional to the distance from the z-axis. (a) (6 points) Find an expression for the mass of E as a triple integral. Then briefly explain why this integral is difficult to compute Suppose E is the half-cylinder described by 2y2 between z and the ry-plane where y 2 0. Suppose further that...
-dB-(Hol dx Extra Credit 1.) Which equation from A-E on left should be used to find out the B field inside an ideal solenoid 4T r2 B. Jclosed loop Extra Credit 2.) Which equation from A-E on left should be used to find out the B field due to a current carrying circular curve at its center dt Extra Credit 3.) Which equation from A-E on left should be used to find the induced E feld around the solenoid carrying...
The current density inside a long, solid, cylindrical wire of radius a = 4.0 mm is in the direction of the central axis and its magnitude varies linearly with radial distance r from the axis according to J = J0r/a, where J0 = 280 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 2.7 mm and (c) r=4.0 mm from the center. Chapter 29, Problem 047 The current density inside a long, solid,...
A uniform disk of mass m and radius R lies in a vertical plane and is pivoted about a point a distance l_cm from its center of mass in (Figure 1). When given a small rotational displacement about the pivot, the disk undergoes simple harmonic motion. Part ADetermine the period of this motion. Use the notation lcm for the distance lcm.
Suppose E is the half-cylinder described by x^2 + y^2 = 1 between z = 4 and the xy-plane where y ≥ 0. Suppose further that the density at each point in E is proportional to the distance from the z-axis. (a) Find an expression for the mass of E as a triple integral. Then briefly explain why this integral is difficult to compute. (b) (8 points) Describe the solid E using cylindrical coordinates.Then express the mass of E as...