Rigid Body Motion in the Plane - Engineering Mechanics
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Rigid Body Motion in the Plane

Rigid Body Motion in the Plane

Rigid body motion encompasses several forms of movement, including translation and rotation in a plane. Angular kinematics describes the relationship between angular displacement, velocity, and acceleration. The chapter also delves into angular momentum and Euler’s laws of motion, providing a foundation for understanding the dynamics of rigid bodies.

21 sections

Sections

Navigate through the learning materials and practice exercises.

  1. 1
    Definition: Rigid Body Motion
  2. 1.1

    This section introduces rigid body motion, focusing on translation,...

  3. 1.2

    This section focuses on the concept of rotation in rigid bodies, including...

  4. 1.3
    General Motion

    This section discusses general motion of rigid bodies, including...

  5. 2
    Rotation In The Plane

    This section elaborates on the kinematics of rotation in a plane, detailing...

  6. 2.1

    This section covers the fundamentals of kinematics in rigid body motion,...

  7. 3
    Kinematics In A Rotating And Translating Frame (Planar Motion)

    This section explores the kinematics of rigid body motion in two dimensions,...

  8. 4
    Angular Momentum Of A Rigid Body (Planar Motion)

    This section explores the concept of angular momentum in rigid body planar...

  9. 4.1
    Translational Part

    This section covers the fundamental concepts of rigid body motion in a...

  10. 4.2
    Rotational Part

    This section explores the dynamics of rigid body motion, focusing on...

  11. 5
    Euler’s Laws Of Motion

    Euler’s Laws of Motion describe the relationship between forces and the...

  12. 5.1

    Euler's First Law describes how the linear momentum of a rigid body's center...

  13. 5.2

    Euler's Second Law describes the relationship between the rate of change of...

  14. 5.3
    Third Law (Torque Form Of Newton’s 3rd Law)

    The third law of motion focuses on internal forces in a rigid body,...

  15. 6
    Independence From Newton’s Laws

    Euler's laws provide a framework for analyzing rigid body motion,...

  16. 7
    Examples And Applications

    This section discusses the various examples and applications of rigid body...

  17. 7.1
    Rolling Without Slipping

    This section explores the concept of rigid body motion, focusing on the...

  18. 7.2
    Disk Rotating And Translating

    This section covers the motion of a rigid body, specifically focusing on the...

  19. 7.3
    Pendulum-Like Motion Of A Rod

    This section discusses the pendulum-like motion of a rod pivoted at one end...

  20. 7.4
    Spinning Gears

    This section introduces spinning gears as an example of rigid body motion,...

  21. 8
    Summary Table

    This section provides a concise summary of the key equations and principles...

What we have learnt

  • A rigid body maintains constant distances between particles during motion.
  • Angular kinematics defines the motion of points in rotating systems.
  • Euler’s laws extend Newtonian concepts to rotational dynamics.

Key Concepts

-- Rigid Body Motion
Idealized motion where the distance between any two particles in a solid remains constant.
-- Angular Displacement
The angle through which a point or line has been rotated in a specified sense about a specified axis.
-- Angular Momentum
A vector quantity that represents the product of a body's rotational inertia and its angular velocity.
-- Euler's Laws of Motion
A set of equations describing the relationship between forces and motion for rigid bodies, inclusive of angular momentum.

Additional Learning Materials

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