About This Chapter
Systems of Particles and Rigid Body Dynamics - Chapter Summary
This chapter can help you learn about or brush up on your existing knowledge of the systems of particles and rigid body dynamics. Enjoy access to entertaining lessons you can review at home or on-the-go to study topics that include angular momentum conservation, work and power in rotational motion, and linear vs. rotational velocity. Completing this chapter enables you to:
- Describe the center of mass and center of gravity
- Discuss the relationship between torque and angular momentum
- Explain the moment of inertia of an object in motion
- Find forces acting on an object using rotational and translational equilibrium
- Solve problems related to torque
- Define the parallel-axis theorem and discuss its uses
Utilize the resources in this chapter in any manner that makes studying the systems of particles and rigid body dynamics easier. Select any number of lessons to review, and navigate them in any order you desire. Revisit them as many times as you'd like, and take their accompanying quizzes to assess your comprehension. Feel free to use the Dashboard to track your progress through this chapter and send any lesson topic questions you have to our experts.
1. Understanding the Center of Mass & Center of Gravity
After watching this video, you will be able to explain the difference between center of mass and center of gravity and give examples of situations where they would be different. A short quiz will follow.
2. Conservation of Angular Momentum
After watching this video you will be able to explain what is meant by conservation of angular momentum. You will also be able to use this concept along with the equation to solve problems. A short quiz will follow.
3. The Relationship Between Angular Momentum & Torque
In this lesson, we'll explore how torque and angular momentum affect objects in rotational motion. In doing this, we'll also discover the important relationship between torque and angular momentum.
4. Rolling Motion & the Moment of Inertia
After watching this lesson, you should be able to figure out the moment of inertia of an object as it rolls down a ramp and compare it to a theoretical value. A short quiz will follow.
5. Equilibrium: Translational & Rotational
Learn about the requirements for an object to be under translational or rotational equilibrium. Then work through a couple example problems that show how we can use translational and rotational equilibrium to find the forces acting on an object.
6. Torque: Concept, Equation & Example
After watching this lesson, you will be able to explain what torque is conceptually and mathematically and use both the equation and Newton's First Law for rotation to solve problems involving torque. A short quiz will follow.
7. Work & Power in Rotational Motion
After watching this lesson, you will be able to explain what work and power are in the context of rotational motion and use equations to solve problems involving rotational work and power. A short quiz will follow.
8. Linear vs. Rotational Velocity: Definitions & Equations
After completing this lesson, you will be able to explain the difference between linear and angular velocity, and use equations to calculate each of them. A short quiz will follow.
9. The Parallel-Axis Theorem & the Moment of Inertia
After watching this lesson, you will be able to explain what the parallel axis theorem is and how it is used. You will also be able to use the theorem to solve problems. A short quiz will follow.
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