Rotational Dynamics
Knowledge you need to have:
Knowledge that an unbalanced torque causes a change in the angular (rotational) motion of an object.
Definition of moment of inertia of an object as a measure of its resistance to angular acceleration about a given axis.
Knowledge that moment of inertia depends on mass and the distribution of mass about a given axis of rotation.
Statement of the principle of conservation of angular momentum
Skills you need to develop:
Use of the principle of conservation of angular momentum to solve problems.
Use of an appropriate relationship to calculate the moment of inertia for a point mass.
Use of an appropriate relationship to calculate the moment of inertia for discrete masses.
Use of appropriate relationships to calculate the moment of inertia for rods, discs and spheres about given axes.
Use of appropriate relationships to carry out calculations involving torque, perpendicular force, distance from the axis, angular acceleration, and moment of inertia.
Use of appropriate relationships to carry out calculations involving angular momentum, angular velocity, moment of inertia, tangential velocity, mass and its distance from the axis.
Use of appropriate relationships to carry out calculations involving potential energy, rotational kinetic energy, translational kinetic energy, angular velocity, linear velocity, moment of inertia, and mass.
