3. Laws of Motion​

🧠 Introduction

Laws of motion describe the relationship between the motion of an object and the forces acting on it. These laws, formulated by Sir Isaac Newton, form the foundation of classical mechanics. This chapter explores inertia, force, momentum, and friction, and how they govern the motion of objects.


🧲 Force and Motion

Force: A push or pull acting on a body that can change its state of motion or shape.

Types of Forces:

  1. Contact Force: Friction, tension, normal, spring, air resistance

  2. Non-Contact Force: Gravitational, electric, magnetic

Characteristics:

  • Vector quantity (has magnitude and direction)

  • Measured in newton (N)


📜 Newton’s Laws of Motion

1️⃣ Newton’s First Law (Law of Inertia)

Statement: A body remains at rest or in uniform motion in a straight line unless acted upon by an external unbalanced force.

Key Concepts:

  • Inertia: Resistance of a body to change its state

  • Mass is a measure of inertia

Examples:

  • Passenger jerks forward when a bus suddenly stops

  • A book remains on a table until pushed


2️⃣ Newton’s Second Law (Law of Force)

Statement: The rate of change of momentum of a body is directly proportional to the applied force and takes place in the direction of the force.

Mathematical Form:    

Where:

  • = Force (N)

  • = Mass (kg)

  • = Acceleration (m/s^2)

Momentum:    
Applications:

  • Hitting a ball with a bat

  • Kicking a football


3️⃣ Newton’s Third Law (Action-Reaction Law)

Statement: For every action, there is an equal and opposite reaction.

Features:

  • Forces act on different bodies

  • Equal in magnitude, opposite in direction

Examples:

  • Gun recoils when fired

  • Walking (foot pushes ground, ground pushes foot)


📊 Impulse

Impulse (J): Product of force and time for which it acts   

Units: Ns or kg·m/s

Applications:

  • Airbags in cars

  • Catching a cricket ball with soft hands


🛠️ Friction

Definition: A force opposing the relative motion between two surfaces in contact.

Types:

  1. Static Friction: Before motion starts

  2. Kinetic Friction: During motion

    • Sliding friction

    • Rolling friction

Laws of Friction:

  • Proportional to normal reaction

  • Independent of area of contact

  • Opposes relative motion

Reducing Friction:

  • Lubrication

  • Ball bearings


📐 Circular Motion

Centripetal Force:

  • Acts towards the centre

  • Required for circular motion         

Centrifugal Force (pseudo-force in rotating frame):

  • Appears to act outward in circular motion


📌 Equilibrium of Forces

Equilibrium: Net force and net torque on a body are zero

  • Static Equilibrium: At rest

  • Dynamic Equilibrium: In uniform motion

Free Body Diagrams (FBD):

  • Diagram showing all forces acting on a body

  • Essential for solving problems



📚 Practice Questions

  1. A 10 kg object is subjected to a force of 20 N. What is its acceleration?

  2. A bat hits a cricket ball of mass 0.2 kg giving it a velocity of 10 m/s in 0.1 s. Find the force exerted.

  3. Draw a Free Body Diagram of a block on an inclined plane with friction.

  4. A body moving in a circle of radius 2 m with speed 4 m/s. Find the centripetal force if mass = 5 kg.

 

 


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