Rotational Kinetics - System of Particles & Rotational Motion Video Lecture - Class 11

hello friends this video on system of
particles and rotational motion 529 is
brought to you by exam through comm
though you're from exam so what is
rotational kinematics not only
rotational kinematics what the sky
pneumatics as such when we say time in
math it's it deals with the study of
motion of objects without any reference
to its causes so that means that we'll
talk about the motion of the object
motion of the object means the velocity
of the object acceleration of the object
initial velocity final velocity time
taken by the object to reach from this
value of velocity to this value of
velocity so it will talk everything
about the motion of the object but it
will not discuss anything about its
causes I mean what caused the motion a
generally what causes motion it is force
or torque which causes motion force
causes translational motion torque
causes rotational motion so in kinda
matrix we will not talk much about the
force or the power part we will only
discuss about the motion of the objects
right so the quantities which describe
the motion of a rotating body what are
the quantities that describe angelou
displacement angular velocity and
angular acceleration right like in case
of linear motion we have linear
displacement linear velocity and
acceleration so in case of rotational
motion we have angular displacement
angular velocity and angular
acceleration so we have added explain
each of these in detail in our previous
lines so here we will see you here will
actually look at the equations the
biometrical equations for rotational
motion the way we have the equations of
motion for the translation motion
similarly we have kind of metrical
equations of rotational motion so let us
look at the equations so we will look at
the equation for translational motion
and then we will look at the
corresponding rotational motion so that
it will become easier for you to
remember things so the first equation of
motion in case of translational motion
is V is equal to u plus KT when V is the
final velocity U is the initial velocity
is the acceleration and T
is the timetable so what will be the
corresponding equation in case of
rotational motion it will be equal to
fiber angular velocity is equal to
initial angular velocity plus
acceleration that is angular
acceleration into time taken so Omega is
it went to Omega naught plus alpha T
okay the next one was s is equal to s
naught plus UT plus half wait is there
that s is that displacement s naught is
the initial displacement and u was the
initial velocity V was the time taken
and a was the acceleration right so in
this case this s is nothing but the
angular displacement so the angular
displacement theta is equal to theta
naught that is the angular displacement
at time T is equal to zero plus initial
velocity that is initial angular
velocity in the time taken plus half
into angular acceleration into Time
Square right so similarly let us look at
the third kind of magical equation for
translational motion it was v square is
equal to u square plus 2ei s in this
case it will become Omega square is
equal to Omega naught square plus 2
alpha theta right so this is how we
define the kinematic equations of
rotational motion so when we talk about
rotational kind of methods which we
talked about nothing else
other than these three equations of
rotational motion now using these three
equations we can describe the rotational
motion of any object so that means at
any instant of time if we know its
angular displacement if we know its
angular velocity we can tell or we can
describe its motion completely right
okay so this plot clearly shows the
angular position of a rigid body so
whenever we talk about a rigid body we
have so many particles and cyclic rigid
body so let us look consider this
particle P naught initially desired some
position T naught so the initial angular
displacement is denoted as heat or not
after sometime
and you know displacements changes from
theta naught theta in some time in
Danville Kentucky right now as the
angular displacement changes your
angular velocity also changes from Omega
naught to Omega as your angular velocity
changes there is some times an
acceleration involved which is even by
alpha so this is how we actually
describe the tiny matrix of rotational
motion of a rigid body right so this was
all about rotational kinematics where we
only deal with the motion of the object
without giving any attention to the
force or the torque which caused that
motion so here we only talked about the
velocity acceleration angular
displacement and all these stuffs now
thank you
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