Find the centroid of the infinite lamina with > 1 and 0 <y<r-3 with density 8(x,...
3) (1.25 point) Find the center of mass of the lamina that occupies the region R with the given density function. R = {y = 0, y = -x = 1,x = 4}: 8(x,y) = kx?
Problem #8 : A lamina with constant density ρ(r.))-5 occupies the region under the curve y-sin(m/8) from x-0 to x-8. Find the moments of inertia 4 and Enter the values of 4 and ly (in that order) into the answer box below, separated with a comma. Enter your answer symbolically, as in these examples Problem #8: Just save Submit Problem #8 for Grading Problem #8 | Attempt #1 | Attempt #2 Attempt #3 Attempt #4 Attempt #5 Your Answer: Your...
lamina with density ρ(x,y) = 3 √{x2+y2} occupies region D, enclosed by the curve r = 1−sin(θ). Which of the following statements is the best description of the center of mass of the lamina? Find the moments of intertia about the x-axis, the y-axis, and the origin for the lamina. Yes, the integrals can be done by hand, but why put yourself through that? You may round your answers to the nearest 0.01.
3) (1.25 point) Find the center of mass of the lamina that occupies the region R with the given density function. 4 R = 0, y = 4}; 8(x,y) = kx?
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...
Please do #2
40 1. 16 pts) Evaluate the integral( quadrant enclosed by the cirle x + y2-9 and the lines y - 0 and y (3x-)dA by changing to polar coordinates, where R is the region in the first 3x. Sketch the region. 2. [6 pts) Find the volume below the cone z = 3、x2 + y2 and above the disk r-3 cos θ. your first attempt you might get zero. Think about why and then tweak your integral....
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
mass AND center of gravity
(G)(3pts) Find the mass and the center of gravity of the lamina with density 6(x, y)r y enclosed by the ellypse: y 4
(G)(3pts) Find the mass and the center of gravity of the lamina with density 6(x, y)r y enclosed by the ellypse: y 4
(8 points) Find the centroid (cy) of the region bounded by: y=3.+ 8x, y=0, x=0, and x = 8.
3) (1.25 point) Find the center of mass of the lamina that occupies the region R with the given density function. 4 R = {y = 0, y = x