Radius of Gyration - System of Particles & Rotational Motion Video Lecture - Class 11

hello friends this video on system of
particles and rotational motion
5:24 is not to you by example calm no
more clear from exam let us now talk
about so so far we saw what is moment of
inertia how do we calculate moment of
inertia for different objects right so
now we will introduce a new term known
as the radius of gyration what is radius
of gyration it is the distance from the
axis of rotation to the point at which
the mass of the body is assumed to be
concentrated for example you saw in
different scenarios that somewhere your
moment of inertia was I is equal to M R
square in some other scenarios it was M
R square by 2 in some other scenarios it
was M R square by 4 and so on so the
moment of inertia was different
depending upon the object depending upon
the axis of rotation so radius of
gyration is that distance from the axis
of rotation at which we assume that the
mass of the body is concentrated so that
means it is generally denoted by K so in
short we write that moment of inertia is
equal to n K square now this key assumes
different values depending upon the
different Z values so sometimes he
becomes R by 2
some times K becomes R by root 2 some
times K becomes R so depending upon the
scenario the the value of K keeps
changing so this K is known as the
radius of gyration right so it is denote
it is expressed mathematically as I is
equal to MK square SI unit is meter
because obviously it is the radius it is
a scalar quantity radius of something
does not need any direction so it is a
scalar quantity thank you please visit
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