Wednesday, 17 October 2018

Intro- System of Particles and Rotational Motion

Rotational Motion


Before we start discussing about Rotational Motion, let us try to understand this type of motion. 

The motion of a rigid body which takes place in such a way that all of its particles move in concentric circles about an axis with a common angular velocity is considered as Rotational Motion.



Till now we have been discussing the motion of a object by considering it as a Point Object (an object having certain mass but negligible size). This is a purely hypothetical concept. Actual bodies have a definite size. Such objects  are  known as Extended Objects.

System of Particles is thus a collection of particles interacting with each other and exert Internal Force to hold themselves together.

This segment deals with the motion of  Rigid Bodies.
A Rigid Body is that in which the distance between any two constituent particles remain  Fixed under the application of any external force.

A Rigid Body always has a Centre of Mass.
Centre of Mass is the point at which the total mass of the body is SUPPOSED to be concentrated.

Centre of Mass of some common shapes



How to find the Centre of Mass of a 2-D object

To understand how to find the CM of objects let us look at this derivation of the formula which will help us in finding the position of the CM of a two particle system.





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