[10 Marks] Find the polar coordinates (ro,ao) of the center of mass of lamina occupying the regio...
Please, explain the steps. For X center of mass I ended up with 1024/105 instead of 1024sqrt(2)/105 [10 Marks] Find the polar coordinates (0,%) of the center of mass of lamina occupying the region 3T R= (r,θ) : 0くだー4 sin 29, π<θ< and having the density e(r,0) = 1. Solution: [10 Marks] Find the polar coordinates (0,%) of the center of mass of lamina occupying the region 3T R= (r,θ) : 0くだー4 sin 29, π
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 moments of the lamina S of constant density p = 2 g/cm occupying the region between y = x and y = 19x over [0,3). (Give your answers for the moments to one decimal place, if necessary.) M= M = Determine the center of mass of the lamina, (Give your answer as point's coordinates in the form (*.*). Give the coordinates precise to two decimal places.) center of mass:
solve question #1 m=1 solve for center mass plz 1. Find the center of mass for lamina defined by the interior of the polar curve 1 r sin 30 with density that varies according to p(r,e) 2. Find the volume of the cylinder -fx-1)2 + y2 inside the sphere 1. Find the center of mass for lamina defined by the interior of the polar curve 1 r sin 30 with density that varies according to p(r,e) 2. Find the volume...
1 Find the mass and center of mass of the lamina that occupies the region D and has the given density function ρ. ญา D is the triangular region with vertices (0, 0), (2, 1), (0, 3); function 2- Use polar coordinates to combine the sum 3- Find the volume of the solid that lies between the paraboloid zxy2 and the sphere x2 + y2+ z22. 1 Find the mass and center of mass of the lamina that occupies the...
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
Find the center of mass of the lamina that occupies the region R with the given density function. R = {y = 0, y = -x = 1,33 = 1,3 = 4}; 0(x, y) = kx
3) (1.25 point) Find the center of mass of the lamina that occupies the region with the given density function. R = {y = 0, y = x = 1,= 4}; 8(x,y) = kx?
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
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?