A uniform solid disk of mass and radius is rigidly attached to a shaft
PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
A uniform solid disk of mass 2.0kg and radius 0.15m is rigidly attached to a shaft. The shaft passes through a point on the disk that lies exactly on the disk’s perimeter (a distance 0.15m from the geometric center). The shaft is perpendicular to the plane of the disk and allows the disk to rotate freely about this off-center axis.
(a) Calculate the rotational inertia of the disk about its central axis (through the center and perpendicular to the plane). Express your answer numerically with appropriate SI units.
(b) Determine the rotational inertia of the disk about the shaft axis through the point on the rim. Express your answer numerically with appropriate SI units.
(c) The shaft is driven so that the disk reaches a constant angular speed of ω=10rads−1. Compute the rotational kinetic energy of the disk while it spins about the shaft axis.