Elasticity and Plasticity
Learning Objectives By the end of this section, you will be able to: We referred to the proportionality constant between stress and strain as the elastic modulus. But why do we call it that? What does it mean for an…
Stress, Strain, and Elastic Modulus
Learning Objectives By the end of this section, you will be able to: A model of a rigid body is an idealized example of an object that does not deform under the actions of external forces. It is very useful…
Examples of Static Equilibrium
Learning Objectives By the end of this section, you will be able to: All examples in this chapter are planar problems. Accordingly, we use equilibrium conditions in the component form of Equation 12.7 to Equation 12.9. We introduced a problem-solving strategy in Example 12.1 to…
Conditions for Static Equilibrium
Learning Objectives By the end of this section, you will be able to: We say that a rigid body is in equilibrium when both its linear and angular acceleration are zero relative to an inertial frame of reference. This means that a…
Introduction
Figure 12.1 Two stilt walkers in standing position. All forces acting on each stilt walker balance out; neither changes its translational motion. In addition, all torques acting on each person balance out, and thus neither of them changes its rotational motion. The…
Summary
11.1 Rolling Motion 11.2 Angular Momentum 11.3 Conservation of Angular Momentum 11.4 Precession of a Gyroscope
Precession of a Gyroscope
Learning Objectives By the end of this section, you will be able to: Figure 11.19 shows a gyroscope, defined as a spinning disk in which the axis of rotation is free to assume any orientation. When spinning, the orientation of the spin…
Conservation of Angular Momentum
Learning Objectives By the end of this section, you will be able to: So far, we have looked at the angular momentum of systems consisting of point particles and rigid bodies. We have also analyzed the torques involved, using the…
Angular Momentum
Learning Objectives By the end of this section, you will be able to: Why does Earth keep on spinning? What started it spinning to begin with? Why doesn’t Earth’s gravitational attraction not bring the Moon crashing in toward Earth? And…
Rolling Motion
Learning Objectives By the end of this section, you will be able to: Rolling motion is that common combination of rotational and translational motion that we see everywhere, every day. Think about the different situations of wheels moving on a…