1. Problem
I have a horizontal cylinder with a ball in it. What must the initial pressure be to launch the ball at Z velocity?
2. Attempt
P = F/A
A = Surface Area(Cylinder) - 1/2 Surface Area (Ball) = (2πrh)
F = m*a
U = - ∫ F dx
U = 1/2 mv^2 at x = h
∫ a dx = -1/2mv^2 / m at x = h
Z =...
This is not so much coursework as it is a thought experiment that has been bugging me for a while now.
1. Homework Statement
Find the equation for velocity either as a function of distance (x) or time (t).
I have an object whose acceleration is given by the rational function a(x) =...
Homework Statement
Disk with radius R
σ = M/A
I = ∫ mr2
Homework Equations
Today we learned how to derive various moments of inertia via density equations (M/L, M/A, M/V). I understand all of them except on how to get MR2/2 for a disk.
The Attempt at a Solution
I = ∫mr2
σ = M/A
dM =...