Homework Statement
F(x)=
x^2*{Cos(Pi/x)} when x!=0 (Not equal to)[/B]
0 when x=0
Is the function differentiable at x=0 ??
P.S.- Cos(pi/x) is under mod (Absolute value)
2. Homework Equations - Basic limit formulas.The Attempt at a Solution
I...
Thank you both of you for helping me out I was able to think it as the point above moving twice as fast as center but the analogy of lever and the ground being stationary so that friction does no work helped me understand much more clearly.
Well I thought so too but that didn't really work out, I got the wrong answer. The answer is root 2 times my answer.
They should be in the same direction and yes they are.
Homework Statement
A force(Fi) is acting on the top point of a disc of radius r and mass m. The disc is rolling without slipping. Angular velocity of disc after center has been displaced distance x is?[/B]Homework Equations
Energy conservation; Moment of inertia of disc (MR^2)/2
The Attempt...
Yeah that's what I thought too but as far as I know this is the way this device is used (Without rotating it).
I mean the field lines created by a coil are exactly perpendicular to it's plane 'ideally'.
When no current is passed through the coil it shows no deflection i.e. B is in the direction shown. But according to theory both fields should be perpendicular (Earth's horizontal field and the one due to coil).
But I am confused because the coil would ideally create a magnetic field that is...
I've already thought it this way and to be honest it does seem intuitive to me. I actually was looking for a concrete mathematical proof. Nevertheless thank you I appreciate all the help.
The fact that the wave reverses with a phase change of 180 degrees is something I am quite comfortable with. But however the second part with a rope at free end the wave reflects without any phase change and the end point rises at double the amplitude is something that seems to confuse me...
Hi everyone, the fact that a wave reflects from a string when it's end is free and the end of the string rises to a height of 2A seems to confuse me a bit. Even though I find it somewhat intuitive I would appreciate a detailed explanation of the same. Thanks in advance.
Thanks, you just wrote down my thoughts mathematically. But as someone pointed out I can't see how would this work for multiple objects or when there is an external force. Any ideas?