Recent content by Jazzyrohan

The elevator is subject to gravitational force on earth.That someone is standing on the floor in the elevator.

A body in an accelerating frame has the same acceleration as that of the frame if it is in direct contact with the frame,right? So I think the air molecules will not be moving with the same acceleration and someone in the elevator will feel the air accelerating in the opposite direction. Am I right?

If a sealed elevator moving with a constant velocity in upward direction suddenly starts accelerating upwards with an acceleration "a" ,will all the air molecules inside the elevator also accelerate with the same acceleration?

That's what I was asking earlier that the rate of decreasing must be fast enough,for example,the p series converges for p>1 as the terms are decreasing at a rate that they are going to hit a limit but for p<1,the terms are not decreasing fast enough.This change occurs at close to p=1 at which...

Is that not true for every series(even convergent ones)? We keep adding something,even if it's less but still the convergent ones approach a finite value. Is it related to the rates at which the term is getting smaller?

I am aware of the example but what is the reason of its sum being infinite?Since it's terms are getting smaller,shouldn't the sum approach a finite value as only smaller and smaller values are getting added?

For a series to be convergent,it must have a finite sum,i.e.,limiting value of sum.As the sum of n terms approaches a limit,it means that the nth term is getting smaller and tending to 0,but why is not the converse true?Should not the sum approach a finite value if the nth term of the series is...

In the preceding text , "if,when we have lifted and lowered a lot of weights and restored the machine to its original condition ,we find that the net result is to have lifted a weight,then we have a perpetual motion machine..." From this we can derive that to analyse a machine,we must first...

I was confused about a few things and I think I get it now.Heartiest thanks to all of you .I really do appreciate your help. Can you also tell me some books containing good theory or visualization and a few books for problem solving?I am currently in first year of college.

I am unable to understand the example itself,how the machines have been used.Can you provide a detailed explanation of things from the start?It would be a great help.

I mistakenly asked the wrong question.I have updated it since.Please do take a look.

The example of the weightlifting machine to prove that no machine can have perpetual motion

Got it but directing to my first doubt how can differentiability be defined for a function of two variables,like,what is the basic condition for such a function to be differentiable?

I have been reading Feyman Lectures Volume 1 and I am stuck on the example or proof given in the book about how no machine can be more efficient than a reversible machine. http://www.feynmanlectures.caltech.edu/I_04.html Section 4-2 A very simple weight-lifting machine lifts weights three...

I have been studying multivariable calculus but I can't quite think visually how a function will be differentiable at a point. How can a function be differentiable if its partial derivatives are not continuous?