Homework StatementSet up intergral expression for center of mass of a cone using cylindrical coordinates with a given height H and radius R
rdrddθdz is part of the inter grand. M/V=D volume of cone is 1/3π(r^2)H
The Attempt at a Solution
dm=Kdv dv=drdθdx K is just a constant because it is uniform density and mass. ∫∫∫zdrdθdz
z=z. Equation for cone in cylindrical coordinates is Z=(H/R)r. The top is bounded by Z=H. The angle is from o to 2π and the radius is square root of H^2+R^2. Once I take this integral I then divide by the same integral but instead there is no extra z in the inter grand. After all is set in done I get the wrong answer. I believe my initial set up might be wrong. Can anyone verify that or give a helpful suggestion thanks.