What is a pseudo-force and how does it relate to non inertial reference frames?

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A pseudo-force arises when analyzing motion from a non-inertial reference frame, which is accelerating relative to an inertial frame. This means that the reference frame itself is accelerating, not the object being observed. For example, when in a bus that accelerates forward, passengers feel a force pulling them backward, which is actually an illusion created by the bus's acceleration. This sensation is the pseudo-force, illustrating how non-inertial frames can create misleading perceptions of motion. Understanding pseudo-forces is essential for accurately describing dynamics in non-inertial reference frames.
sankarshana016
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So I was told that a pseudo-force acts on a body when its's motion is analysed with respect to a non inertial reference frame. I'm a bit confused. Does that mean the reference frame is accelerating with respect to the body, or with respect to the earth? And why does there have to be any sort of pseudo force?
 
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sankarshana016 said:
So I was told that a pseudo-force acts on a body when its's motion is analysed with respect to a non inertial reference frame. I'm a bit confused. Does that mean the reference frame is accelerating with respect to the body, or with respect to the earth?

Neither. It means that an object at rest in that coordinate system is accelerating relative to an object in free-fall.
 
may be an example might help. Imagine you're in a Bus and it starts accelerating. You will feel like you're being pulled to the back of the bus. In fact you're not being pulled at all and the bus instead is accelerating forward. The bus is the non inertial frame since it is accelerating and the illusion that you're being pulled to the back of the bus is the pseudo-force.
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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