- #1
Carnivroar
- 128
- 1
I am using the textbook called Classical Mechanics by John R. Taylor.
Z = 1/M ∫ ρ z dV = ρ/M ∫ z dx dy dz
On page 89, example 3.2, it says:
"For any given z, the integral over x and y runs over a circle of radius r = Rz / h, giving a factor of πr2 = πR2z2 / h2."
I wish the book would show the steps. Can someone please help me understand this? I want to know what the limits of integration for dx and dy are.
Z = 1/M ∫ ρ z dV = ρ/M ∫ z dx dy dz
On page 89, example 3.2, it says:
"For any given z, the integral over x and y runs over a circle of radius r = Rz / h, giving a factor of πr2 = πR2z2 / h2."
I wish the book would show the steps. Can someone please help me understand this? I want to know what the limits of integration for dx and dy are.