### Motion Of A Particle

Principles in the formation of the Equation of Motion of a Particle :-

For Motion in Straight Line ;

Let the mass of the body (particle) be m and let the distance of the particle measured from a suitable origin be x at the time t .

Then acceleration is (d/dt)(dx/dt)

therefore by Second Law of Motion

m[(d/dt)(dx/dt)] = Forces in the direction of x increasing

The forces usually are ;-

1)--- g vertically downwards in a gravitational field like earth .

2)--- tension in a string

3)--- reactions or stress at point where the point may be in contact with other particles .

4)--- forces of attraction

5)--- forces of resistance to motion by any means may be by atmosphere , friction, winds or by any other means .

In taking the forces we must fix the sign properly if the forces acts along the line .

If a force F acts at an angle A to the straight line , then the resolved part of the force along the line is FcosA . If g acts on on a particle an…

For Motion in Straight Line ;

Let the mass of the body (particle) be m and let the distance of the particle measured from a suitable origin be x at the time t .

Then acceleration is (d/dt)(dx/dt)

therefore by Second Law of Motion

m[(d/dt)(dx/dt)] = Forces in the direction of x increasing

The forces usually are ;-

1)--- g vertically downwards in a gravitational field like earth .

2)--- tension in a string

3)--- reactions or stress at point where the point may be in contact with other particles .

4)--- forces of attraction

5)--- forces of resistance to motion by any means may be by atmosphere , friction, winds or by any other means .

In taking the forces we must fix the sign properly if the forces acts along the line .

If a force F acts at an angle A to the straight line , then the resolved part of the force along the line is FcosA . If g acts on on a particle an…