Okay, so I've been trying to figure out what would be the time period of spring of mass 'M' & spring constant K which is hung vertically from a ceiling.
Dividing the spring into n equal massless springs of spring constant k=nK which are connected to each other by n small objects of mass...
How could i miss that? Yeah you're absolutely correct, Thank you very much.
Yeah, just ignore that part.
Now, I just feel like a fool.
Thank You very much people. I appreciate you're help.
So i was doing a question from Irodov(Q 3.238) & got stuck for hours (as expected)
The question goes -
A thin conducting strip of width h is tightly wound in the shape of a very long coil with cross-section radius R to make a single layer straight solenoid. A direct current I flows through...
Yeah dmrω^2 , sorry
As i said, if radius of the ring is increased by dr, then work done by the tangential force tension will be T*(change in circumference) which will be equal to the change in kinetic energy which in this case is the rotational energy.
Hello people,
So i found out the tension in a ring rotating with constant angular velocity (in gravity free space)
Considering a small element of mass dm - tension will provide the centripetal force,
2Tsin(dθ/2) = dmrω^2
sindθ ≈ dθ
dm = m/2πr ds
ds = rdθ
T = (mrω^2)/2πNow, the other method...