Recent content by Kashmir

Thank you for your kind response. I was helping my relative in his basic physics and he gave me this question. I tried solving it every way incase i was missing something. That's why I asked it here in case there was something else I missed.

I tried using all equations of motion but couldn't get the correct answer. Any hint would greatly help. I've tried doing this for two days now!

I dont Understand how we get the final equations relating ##Q_r## with ##\lambda## given the conditions above?

1) we can get EL equations via DAlemberts principle for the case of conservative systems. However a crucial step while deriving those equations is that we assume that the virtual work of constraints is zero. Such constraints are also known as workless constraints. 2) Hamilton's principle is...

Thanks but I think that doesn't answer the question. I know what Hamilton's principle is and how we can deduce EL equations via it using stationary integral of Lagrangian.

To arrive at those El equations via DAlembert we begin by assuming workless constraints. So it makes sense if that assumption is built in the Hamilton principle. Is that so?

So what does the author mean? I still didn't get it

Goldstein 2ed pg 36 So in the case of holonomic constraints we can move back and forth between Hamiltons principle and Lagrange equations given as ##\frac{d}{d t}\left(\frac{\partial L}{\partial \dot{q}_{j}}\right)-\frac{\partial L}{\partial q_{j}}=0## But the Lagrange equations were...

Thank you. I’ll try your question :)

I want to calculate the capacitance of this system between the points x&y. So suppose I give a charge Q to the outermost shell and -Q to the innermost shell. To find the capacitance C, I try to find the potential V between the outermost shell and innermost shell . To find V ,I integrate the...

I would love to get a hint to do it any other way. Something that is more basic, like by using just the starting definition of C=Q/ V. Thank you for your reply :)

A friend of mine sent me this problem about finding the capacitance. We have three concentric shells of radius a, b, c. And we've to find the capacitance between x and y. I need help. Thank you

I just happen to see a show about air pressure host by Brian Cox. As the link:https://i.stack.imgur.com/vfZlI.jpg shows, he flipped a half-filled water cup upside down then the paper on cup doesn't drop: It puzzled me, because the cup is half-filled, the pressure shouldn't balance since inside...

Yes that should be true for the whole system. Battery, wires and plates of capacitor. Charge conservation doesn't necessarily imply equal amounts of charges on the two plates of capacitor.

Maybe the two plates of capacitor have unequal charges. The excess goes to battery somehow.