Topics
System of Coplanar Forces
- Resultant of concurrent forces
- Resultant of parallel forces
- non-concurrent Non-parallel system of forces
- Moment of force about a point
- Moment of force about Couples
- Varignon’s Theorem
- Force couple system
- Distributed Forces in plane
Center of Gravity and Centroid for Plane Laminas
- Centroid for Plane Laminas
Equilibrium of System of Coplanar Forces
- Condition of equilibrium for concurrent forces
- Condition of equilibrium for parallel forces
- Condition of Equilibrium for non-concurrent nonparallel general forces
- Condition of equilibrium for Couples
Types of Support
- Load Support
- Beams Support
- Determination of reactions at supports for various types of loads on beams
Analysis of Plane Trusses
- Analysis of Plane Trusses by Using Method of Joints
- Analysis of plane trusses By using Method of sections
Forces in Space
Resultant of Noncoplanar force systems
- Resultant of Concurrent Force System
- Parallel Force System
- Non-concurrent Non-parallel Force System
Equilibrium of Noncoplanar force systems
- Equilibrium of Concurrent force system
- Equilibrium of parallel force system
- Equilibrium of non-concurrent non-parallel force system
Friction
- Introduction to Laws of Friction
- Cone of Friction
- Equilibrium of Bodies on Inclined Plane
- Application to Problems Involving Wedges
- Ladders
Principle of Virtual Work
- Applications on Equilibrium Mechanisms
- Applications on pin jointed frames.
Kinematics of Particle
- Rectilinear Motion
- Velocity and Acceleration in Terms of Rectangular Co-ordinate System
- Motion Along Plane Curved Path
- Tangentialand Normal Component of Acceleration
- Motion Curves (a-t, v-t, s-t curves)
- Projectile Motion
Kinematics of Rigid Bodies
- Introduction to General Plane Motion
- Instantaneous Center of Rotation for the Velocity
- Velocity Diagrams for Bodies in Plane Motion.
Kinetics of a Particle
Force and Acceleration
- Introduction to Basic Concepts
- D’Alemberts Principle
- Equations of Dynamic Equilibrium
- Newton’s Second Law of Motion
Work and Energy
- Principle of Work and Energy
- Principle of Conservation of Energy
Impulse and Momentum
- Principle of Linear Impulse and Momentum
- Law of Conservation of Momentum
- Impact and Collision
- Introduction
Introduction
Rectilinear motion refers to the movement of an object along a straight line. This is one of the simplest forms of motion studied in physics. In this type of motion, the object moves in only one dimension, typically along the x-axis. Understanding rectilinear motion helps us analyze the basic concepts of position, time, and movement. This forms the foundation for studying more complex types of motion in physics.
Definition: Rectilinear Motion
The motion of an object in which the position of a particle varies only in terms of distance along a straight line is called Rectilinear Motion.
Definition: Displacement
The shortest straight-line distance between an object's initial and final positions, represented as the difference between the position vectors Δx = x2 − x1, is called Displacement.
Definition: Path Length
The total distance travelled by an object along its actual path, regardless of the direction of motion, is called Path Length.
Definition: Average Velocity
The limiting value of the total displacement Δx of an object during a time interval Δt, divided by that time interval, is called Average Velocity.
Definition: Average Speed
The total path length (distance) travelled by an object during a time interval, divided by that time interval, is called Average Speed.
Definition: Instantaneous Velocity
The limiting value of the average velocity of an object over a small time interval Δt around time t, when the value of the time interval approaches zero, is called Instantaneous Velocity.
Definition: Instantaneous Speed
The limiting value of the average speed of an object over a small time interval Δt around time t, when the value of the time interval approaches zero, is called Instantaneous Speed.
Definition: Acceleration
The rate of change of velocity of an object with time is called Acceleration.
Definition: Average Acceleration
The change in velocity of an object divided by the total time required for that change in velocity is called Average Acceleration.
Definition: Instantaneous Acceleration
The limiting value of the average acceleration of an object over a small time interval Δt around time t, when the value of the time interval approaches zero, is called Instantaneous Acceleration.
Definition: Relative Velocity
The velocity of one object as observed by another object is called Relative Velocity.
