# Equations of motion for angular acceleration

## Homework Statement

A slope angled 36* to the horizontal has a hoop cylindrical shell going down it, which has radius 3cm and mass 100g.
1) Write down an equation of motion for the angular acceleration.
2) Will the linear acceleration change if the hoop is changed to a cylinder (i.e. solid).

## Homework Equations

I=mr^2
F=ma
T=Iα (alpha)(T=Torque)

## The Attempt at a Solution

Logically angular acceleration equations of motion must follow a similar structure to linear acceleration equation of motion.
i.e. Iα = ∑T
But im not sure what torque's are acting if so?

2. The linear acceleration is easy, that is just ma = ∑F, i get
sin(x)(gcos(x)+g) = 10.4 ms^-2 (Masses cancle)

But it wants to find out if it changes,
This one I'm also not sure on, I know α(angular accel) changes, as the moment of inertia changes. But im not sure if this changes the linear acceleration as the center of mass remains the same...

Any advice is greatly appreciated :)