Find the mass of the lamina that is the portion of the circular cylinder x? +3+...
Find the mass of the lamina that is the portion of the paraboloid 2z = x² + y2 inside the cylinder x² + y2 = 24 with constant density 80. Mass = Edit
please answer 5-7 in detail 5. Find the center of mass of the rectangular lamina with vertices (0.0), (21.0). (0.12), and (21. 12) for the density p = kxy. Ans: 6. Find the mass of the triangular lamina with vertices (0, 0), (12, 24), and (24,0) for the density p = kxy. Ans: 7. Find the area of the portion of the of the surface z = 4x + 8y that lies above the region R = {(x, y): x...
Chapter 15, Section 15.5, Go Tutorial Problem 028 Find the mass of the lamina that is the portion of the paraboloid 2z = x2 + y2 inside the cylinder x2 + y2 = 3 with constant density 80. Mass = ? Edit
a. Find the center of mass for lamina defined by the interior of the polar curve r=sin(3) with a density that varies according to p(r,theta)=1/r b. Find the volume of the cylinder inside the sphere For part a I got a mass of 2 but not sure about the x bar and y bar calculations. For part b Im stuck on the z bounds for the integral when doing the problem with the cylindrical coordinate method. We were unable to...
Find the center of mass of the lamina (thin plate) corresponding to the region 0 lessthanorequalto y lessthanorequalto 4 - x^2 in the xy plane if the density of the plate is proportional to the distance from the r axis.
find the mass of the lamina that is the portion of the surface y = 4-z between the planes x = 0, x = 3, y = 0, and y = 3 if the density function is 15. p= y. Answer: 56.02
1. (16 points) Find the center of mass for the lamina bounded below y al and above by 41. (16points)Fin rehensitartamast i 2+2-4, where density at a point in the lamina is directly proportional to its distance +1/-4. where density at a point in the lamina is directly proportional to its distance to the a-axis. 1. (16 points) Find the center of mass for the lamina bounded below y al and above by 41. (16points)Fin rehensitartamast i 2+2-4, where density...
A flat thin rectangular lamina lies in the x-y plane as shown in Figure 2. It has a width W and a length L. If the surface density mu = mu_0(y/L + 1): (a) What is the total mass of the lamina (ignore the thickness T of the object). (b) Where is the centre-of-mass located on the object?
Find the area of the portion of the plane 2x+3y+4z=28 lying above the rectangle 1≤x≤3,2≤y≤5 in the xy -plane. (1 poimi) Find the surface area of the portion S of the cone 22y, where z 20, contained within the cylinder y2 +22 < 36 Area(S)- (1 poimi) Find the surface area of the portion S of the cone 22y, where z 20, contained within the cylinder y2 +22
5] (2) GIVEN: a> 0,0# {(x, y, z) z a"-x'-y") W is the solid region of R' that is below 2 and above the xy- plane. W has constant density,8 and the mass of W is M, m(W) M FIND: The moment of inertia, I, of W with respect to the z- axis, express 2 I in terms of M and a without 8