### Newton’s Laws in One Dimension (Free Body Diagram)

Understanding Newton’s laws of motion is fundamental to classical mechanics. In one dimension, these laws provide a straightforward framework to analyze the motion of objects. The use of Free Body Diagrams (FBDs) is a crucial tool in visualizing and solving problems involving forces and motion.

#### Newton’s Laws of Motion

1. Newton’s First Law (Law of Inertia) An object remains at rest or in uniform motion in a straight line unless acted upon by a net external force.

2. Newton’s Second Law (Law of Acceleration) The acceleration a of an object is directly proportional to the net force acting on it and inversely proportional to its mass m.

3. Newton’s Third Law (Action and Reaction),

#### Free Body Diagrams (FBDs)

A Free Body Diagram is a graphical representation used to visualize the forces acting on an object. It helps in setting up the equations of motion by isolating the object and showing all external forces acting upon it.

Steps to Draw a Free Body Diagram:

1. Isolate the Object: Sketch the object of interest, represented as a simple shape (usually a box or a dot).
2. Identify Forces: Identify and draw all the forces acting on the object. These can include gravitational force, normal force, frictional force, tension, applied forces, etc.
3. Represent Forces: Represent each force as an arrow pointing in the direction the force is acting. Label each force clearly.
4. Choose a Coordinate System: Establish a convenient coordinate system (usually, x and y axes) to resolve the forces.

These examples demonstrate how to draw Free Body Diagrams and apply Newton’s laws of motion in one-dimensional problems. Mastery of these concepts is essential for analyzing more complex systems in classical mechanics.

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