Newton's Laws of Motion

Newton's Laws of Motion

Introduction to Dynamics

  • Kinematics: The study of how objects move.

    • Covered in Chapters 2-3.

    • Described by kinematic equations for constant acceleration.

  • Dynamics: The study of why objects move.

    • Introduced in Chapters 4-5.

    • Described by Newton's three laws of motion.

    • Forces are the fundamental cause of acceleration.

What is a Force?

  • In everyday language: A push or a pull.

  • Key forces encountered in Physics 2414:

    1. Gravity: The attractive force between any two objects with mass.

    2. Friction: A resistive force opposing motion or attempted motion between surfaces in contact.

      • Static Friction: Acts when objects are at rest relative to each other.

      • Kinetic Friction: Acts when objects are sliding past each other.

    3. Normal Force: A contact force exerted by a surface, perpendicular to the surface.

    4. Tension: A pulling force transmitted axially by means of a string, cable, chain, or similar one-dimensional continuous object.

    5. Restoring, Elastic, or Spring Force: A force that tries to restore a deformed object to its original shape, often described by Hooke's Law: Fspring=kΔxF_{spring} = -k\Delta x, where kk is the spring constant and Δx\Delta x is the displacement from equilibrium.

  • Fundamental Nature of Force: A force always represents an interaction between two objects.

    • When analyzing a force, specify what causes the force and what object the force acts on.

  • Vector Quantity: Force is a vector, possessing both magnitude and direction.

Newton's First Law: The Law of Inertia

  • Statement: Every object continues in its state of rest, or of uniform velocity in a straight line, as long as no net force acts on it.

  • Key Implications:

    • If an object is stationary, its velocity is zero (v=0v=0), and there is no net force acting on it.

    • If an object is moving at a constant velocity (constant speed in a straight line), there is also no net force acting on it.

    • It is crucial to understand that there may be multiple individual forces acting on an object, but if their vector sum (