inertial and non inertial frame of reference,Why we need Pseudo force,pseudo Force,Types of Pseudo force,Calculation for linearly accelerated frame,centrifugal force as an example of pseudo force,Coriolis Force with rotating reference frame and derivation

2. Topic:

3.  Inertial and Non-Inertial Frame of References
 Why do we need Pseudo Force?
 Statement of Pseudo Force
 Types of Pseudo Force
 Scenarios Regarding Pseudo Force
 Pseudo Force For Linearly Accelerated Frame of
Reference
 Pseudo Force as an example of Centrifugal Force
 Coriolis Force
 Coriolis Force Effect
 Calculation of Coriolis Force

4. INERTIAL
Frame
• Body is at rest or moving with constant
velocity.
• Acceleration is zero.
• Newton Laws are Valid.
Non inertial
Frame
• Velociy is not constant.
• Acceleration is non zero.
• Newton Laws are not Valid

5. Newton's second law F = ma holds true only in
inertial Frame of reference.
However, there are many noninertial (that is,
accelerating) frames that one needs to consider,
such as elevators, merry-go-rounds, and so on.
So, Is there any possible way to modify Newton’s
laws so that they hold in noninertial frames?
 So, in this case, a new concept Pseudo force
is came into account.

6. Definition:
“ The force which converts non-inertial frame of reference to
an inertial frame of reference is called pseudo force.”
 A Pseudo force is also called a fictitious force, inertial
force or d’Alembert force.
 Pseudo force comes in effect when the frame of
reference has started acceleration compared to a non-
accelerating frame.

7. Pseudo forces are divided into four types in
accelerated frame of reference:
Pseudo Force By Linearly accelerated Frame
Centrifugal Force By Rotating Frame
Coriolis Force By Rotating Frame
Euler Force By Rotating Frame

8. For example, consider a ball hung from the roof of a train by means
of an inextensible string. If the train is at rest or is moving with a
uniform speed in a straight line the string will be vertical. A
passenger will infer that the net force acting on the ball is zero.
But,If the train begins to accelerate. For the passenger, there are
only two forces. But, the ball remains apparently in a state of
equilibrium (as long as the acceleration of the train is constant).
here, concept of pseudo force is required.

10.  Consider a ride on Merry-go round which is basically a
rotating reference frame. you also take this as your
reference frame.In an non-inertial frame you will feel a force
which is trying to throw you away from circular ride.This
force travels opposite to acceleration.In this case,this force
is known as centrifugal force(a type of pseudo force).

12. Definition:
“Coriolis Force is an fictitious
force(pseudo force) that acts on objects
that are in motion relative to rotating
reference frame.”
Deflection of an object due to the Coriolis
force is called the Coriolis effect.It is
caused by rotation of rotating body.

13. It is an apparent force.
Due to the rotation of the coordinate system (Earth);
It makes a moving object deflect from a straight line.

14. The Coriolis effect, which is a result of Earth’s
rotation, causes moving particles such a air to be
deflected to the right in the Northern Hemisphere
and to the left in Southern Hemisphere.

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