3: Module 2 - Multi-Dimensional Mechanics
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- 3.1: Objective 2.a.
- A complete description of kinematics explores motion in two and three dimensions given most objects in the universe move along curved paths. This description heavily uses vectors to represent the functions investigated in the previous section in three-dimensional space. Projectile motion and uniform circular motion are the two most common types of motion along curved paths. In the real world, the reference frames of the kinematic functions must be defined in order to analyze motion properly.
- 3.4: Objective 2.c.
- When you drive across a bridge, you expect it to remain stable. You also expect to speed up or slow your car in response to traffic changes. In both cases, you deal with forces. The forces on the bridge are in equilibrium, so it stays in place. In contrast, the force produced by your car engine causes a change in motion. Isaac Newton discovered the laws of motion using forces to describe these situations.
- 3.4.1: Prelude to Newton's Laws of Motion
- 3.4.2: Forces
- 3.4.3: Newton's First Law
- 3.4.4: Newton's Second Law
- 3.4.5: Mass and Weight
- 3.4.6: Newton’s Third Law
- 3.4.7: Common Forces
- 3.4.8: Drawing Free-Body Diagrams
- 3.4.9: Newton's Laws of Motion (Summary)
- 3.4.10: Prelude to Applications of Newton's Laws
- 3.4.11: Solving Problems with Newton's Laws (Part 1)
- 3.4.12: Solving Problems with Newton's Laws (Part 2)
- 3.4.13: Friction (Part 1)
- 3.4.14: Friction (Part 2)
- 3.4.15: Drag Force and Terminal Speed
- 3.4.16: Applications of Newton's Laws (Summary)
- 3.7: Objective 2.f.
- The elastic properties of materials are especially important in engineering applications, including bioengineering. For example, materials that can stretch or compress and then return to their original form or position make good shock absorbers. In this chapter, you will learn about some applications that combine equilibrium with elasticity to construct real structures that last.
- 12.4: Stress, Strain, and Elastic Modulus (Part 1)
- 12.5: Stress, Strain, and Elastic Modulus (Part 2)
- 12.6: Elasticity and Plasticity
- 3.7.1: Prelude to Static Equilibrium and Elasticity
- 3.7.2: Conditions for Static Equilibrium
- 3.7.3: Examples of Static Equilibrium
- 3.7.4: Static Equilibrium and Elasticity (Summary)