Introduction to Centre of Mass
PRESENTED BY
VANSH TYAGI
GROUP A
Section 1
Think
About It
WHAT DOES CENTRE OF MASS
MEANS????
The CENTRE OF MASS is the point in a
system where the mass can be considered to
be concentrated for the purpose of analyzing
motion. In simpler terms, it's the average
position of all the mass in an object or
system. If you were to balance an object on a
single point, the center of mass would be the
point where it stays perfectly balanced.
Today, you
will learn
about...
01
02
RIGID BODY
THE CENTRE OF MASS
OF 2 PARTICLES.
THE CENTRE OF MASS
OF n PARTICLES.
THE CENTRE OF MASS
OF MOTION
CENTRE OF MASS OF MOTION
DEFINITION :- The center of mass (COM) of a system of particles is a
point that moves as if all the mass of the system were concentrated at that
point, and all external forces acting on the system were applied to it. The
motion of the center of mass represents the overall motion of the system
as a whole.
IT HAS TWO PARTS
CENTRE OF MASS OF
Motion for 2 PARTICLES
CENTRE OF MASS OF
Motion for n Particles
FORMULA
CENTRE OF
MASS OF 2
PARTICLES
DEFINITION
The CENTRE OF MASS OF TWO PARTICLES is the point
where you can think of the entire mass of the system (the two
particles) as being concentrated. It is the weighted average
position of the two particles, with the weight (mass) of each
particle determining how much influence it has on the center
of mass.
To find the centre of mass of two particles,
you use the formula:
QUES. Two bodies of masses 0.5 kg and 1 kg are lying in the X-Y plane at points (-1, 2)
and (3,4) respectively. Locate the center of mass of the system.
NUMERICAL 1
NUMERICAL 2
CENTRE OF MASS OF N PARTICLES
The centre of mass of a system of N particles is
the weighted average position of all the particles,
where the weights are their respective masses.
DEFINITION
FORMULA
NUMERICAL 1
NUMERICAL 2
NUMERICAL 3
RIGID BODY
A RIGID BODY is an idealized object in
which the distances between any two points
remain constant, regardless of external forces
or torques applied to it. In other words, a
rigid body does not deform, stretch, or
compress under any external influence.
KEY CHARACTERSTICS OF RIGID
BODY
Constant Shape: The relative
positions of points within the body do
not change, even when forces are
applied.
No Deformation: A rigid body resists
any kind of deformation (e.g.,
bending, stretching).
Rotation and Translation: A rigid
body can move by translating (moving
from one place to another) or rotating
(spinning around an axis). The rigid
body will maintain its shape while
moving.