Chapter study guide

When bodies move in a straight line they have momentum; when they rotate they have angular momentum. Rotation is a fundamental property of many objects around us, from the rolling wheels of a car to the rotation of the Earth about its axis. Everything that has mass has rotational inertia, which is the resistance of an object to changing its state of rotation. Rotational inertia depends not just on mass but also on how that mass is distributed relative to the axis of rotation. Rotating objects also possess rotational energy in addition to their linear kinetic energy.

By the end of this chapter you should be able to
define angular momentum and calculate its value for a rotating object;
describe rotational inertia and calculate the moment of inertia for objects with simple shapes;
explain why objects can change their rotational velocities by applying the conservation of angular momentum;
define center of mass and apply it to practical situations;
define and calculate rotational energy; and
explain why rolling objects of different shapes are accelerated differently.

13A: Rotational inertia
13B: Conservation of angular momentum
13C: Center of mass
13D: Rolling down an inclined plane

366Rotation and angular momentum
367Rotational inertia
36813A: Rotational inertia
369Angular momentum
370Conservation of angular momentum
37113B: Conservation of angular momentum
372Center of mass
37313C: Center of mass
374Rotation and athletics
375Section 1 review
376Rotational dynamics
377Moment of inertia of common objects
378Rolling motion and rotational energy
37913D: Rolling down an inclined plane
380Rolling downhill
381Tides and rotation of the Earth–Moon system
382The seasons and precession
383Section 2 review
384Chapter review
I=m r 2
E r = 1 2 I ω 2
translationrotational inertiamoment of inertia
angular momentumlinear momentumconservation of angular momentum
center of massrotational energyprecession

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