Question

Problem 1

A 10 kg disk of radius R with a uniform mass density has a square hole of side length s cut out of its
center. Suppose the disk radius R is 26 cm and the square side length s is 6.5 cm.
1. Calculate the rotational inertia of the disk.
2. Draw a force diagram of the disk.
3. Write the force and torque equations that describe your diagram.
4. Calculate the angular acceleration of the disk along the incline if = 30 degrees.

Answer 1

I = 1/2 m(R² + L² )

I = 1/2 X 10 (0.26² + 0.065² )

I = 5 X 0.071

I = 0.355kg.m²

torque = r F sin $\theta$

angular accelaration = v² / r