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PREPARED BY : NUR HAZIRAH BINTI CHE ITHNINID NUMBER :
0317612LECTURER : MR THIAGARAJAH ARUNASALAM
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The concept of "center of mass" in the form of the "center of
gravity" was first introduc
Greek physicist, mathematician, and engineer Archimedes of
Syracuse.
He worked with simplified assumptions about gravity that amount
to a uniform field, th
mathematical properties of what we now call the center of
mass.
Archimedes showed that the torque exerted on a lever by weights
resting at various poin
is the same as what it would be if all of the weights were moved
to a single pointtheir c
In work on floating bodies, he demonstrated that the orientation
of a floating object is thits center of mass as low as
possible.
He developed mathematical techniques for finding the centers of
mass of objects of u
various well-defined shapes.
Newton's second law is reformulated with respect to the center
of mass in Euler's first law
HISTORY OF CENTRE OF MASS
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WHAT IS ACTUALLY CENTRE OF MA
The center of mass is the location where all of the mass of the
s
could be considered to be located and the point where the
objec
be perfectly balanced if it were suspended from that point
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WHAT IS MOMENT?
MOMENTS= mass x perpendicular distance to the pivot/fulcr
The moments of an object measure its tendency to rotate
around
A moment produces a turning force effect which is known as
TO
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The center of mass is based on the object's moments
For a two-dimensional system, the object is a region-defined by
two functions, and
moments, x and y.
=
CORRELATION OF CENTRE OF MASS
MOMENTS
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PROBLEM-SOLVING 1(GENERAL IDEA- USAGE OF INTEGRATIO
THE EXAMPLES HAVE BEEN SOLVED IN VIDEO FORM:
http://www.youtube.com/watch?v=I1T3nht9UwU&feature=youtu.be
(PLEASE CLICK ON THE YOUTUBE LINK FOR THE TUTORIAL)
PROBLEM-SOLVING 2(VERTICALSTRIP & UNIFORMDENSIT
PROBLEM-SOLVING 3(VERTICALSTRIP & NON-UNIFORMDENS
http://www.youtube.com/watch?v=I1T3nht9UwU&feature=youtu.behttp://www.youtube.com/watch?v=I1T3nht9UwU&feature=youtu.be
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APPLICATIONS IN REAL LIFEAUTOMOBILES
Engineers try to design a sports car so that its center of mass
is lowered to make the car hand
HIGH JUMPERS
When high jumpers perform a "Fosbury Flop", they bend their body
in such a way that it clea
its center of mass does not necessarily clear it.
AIRCRAFT
The center of mass is an important point on an aircraft, which
significantly affects the stabilit
To ensure the aircraft is stable enough to be safe to fly, the
center of mass must fall within sp
ASTRONOMY
The center of mass plays an important role in astronomy and
astrophysics, where it is comm
as the barycenter. The barycenter is the point between two
objects where they balance eac
center of mass where two or more celestial bodies orbit each
other.
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REFERENCEChegg Inc. (2003). Definition of Moments and Center of
Mass. Retrieved November 15, 2
from
http://www.chegg.com/homework-help/definitions/moments-and-center-of-m
Western Washington University. (2012). Center of Mass. Retrieved
November 15, 2013,
http://faculty.wwu.edu/vawter/PhysicsNet/Topics/Momentum/TheCenterOfM
