A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular cylinder of mass 1.0 kg with inner radius 20 cm and outer radius 30 cm (see below). The system rotates about an axis through the center of the disk and annular cylinder at 10 rev/s. (a) What is the moment of inertia of the system

Complete Question

A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular cylinder of mass 1.0 kg with inner radius 20 cm and outer radius 30 cm (see below). The system rotates about an axis through the center of the disk and annular cylinder at 10 rev/s.

(a) What is the moment of inertia of the system

(b) What is its rotational kinetic energy? axis 50 cm 30 cm 20 cm

a)

b)

Explanation:

From the question we are told that:

Mass

Disk Radius

Mass of annular cylinder

Inner Radius of cylinder

Outer Radius of cylinder

Angular  Velocity

Generally the equation for moment of inertia is mathematically given by

Generally the equation for Rotational Kinetic Energy  is mathematically given by

grav potential energy

answer: a. same unit

explanation: