Discussions on answer of a problem

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Homework Help Overview

The discussion revolves around a problem involving a particle sliding down a smooth inclined plane within an accelerating elevator. The original poster presents conflicting results for the particle's acceleration when analyzed from both an inertial frame and a non-inertial frame, questioning the source of this discrepancy.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the differences in calculated accelerations based on the frame of reference, questioning the assumptions about forces acting on the particle in different frames.

Discussion Status

There is an ongoing examination of the problem, with some participants suggesting that one of the approaches is correct while others express uncertainty about their calculations. The discussion reflects a mix of interpretations regarding the effects of the elevator's acceleration on the forces experienced by the particle.

Contextual Notes

Participants note the importance of understanding the implications of working within inertial versus non-inertial frames, as well as the physicality of the results obtained. There is acknowledgment of potential mistakes in reasoning that may affect the conclusions drawn.

neelakash
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I want to discuss the answers (what I get and what is given) of the following problem:

A particle slides down a smooth inclined plane of elevation θ,fixed in an elevator going up with an acceleration a.The base of the incline has a length L.Find the time taken by the particle to reach the bottom.

Working from an inertial frame I got the acceleration down the incline as (g-a) sinθ whereas working from elevator frame(non-inertial) one gets the acceleration down the incline as (g+a) sinθ.Why is there a difference?
Normally,when we see an object from outside an elevator and from the elevator,we se that the normal reaction force to be the same.So,what is making the difference?
 
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You do know which equation doesn't contain a mistake, right?
 
I think that there is some mistake that I am making.Otherwise the forces should be the same...
when I get it I will post that.
 
The second one is correct. Since the elevator is accelerating upward, the acceleration adds to gravity.
 
The first answer is with respect to the ground.Show me that it is incorrect!
 
Because it is obviously unphysical for the solution to pass through zero as the upward acceleration increases.. The particle should slide faster, not turn around and go up the slope.
 
Yes...I had done a mistake...
Now it is clear...
 

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