bachna ae haseenon

www.comsol.com/showroom/gallery/15.php



en.wikipedia.org/wiki/Helmholtz_coil

physicsx.pr.erau.edu/HelmholtzCoils/index.html

Verify that on the axis of helmholtz coil , midway between the coils , the first 3 derivatives of B with respect to x vanish.

(This is the complete qn)

So , the conclusion i come to is that ,the answer is no (provided the height is till which the helicopter is taken to is neglegible compared to radius , which even though not given in the question seems a reasonable assumption )

I am a superman [:D] . I lift a helicopter from earth and go a certain height above the earth . Then i wait for earth to rotate , and soon america comes right below me and i come down . Hence i reach america  .

Is this possible ??

Assume that america does come under me for sure , wherever be my original position and also assume that i have a lot of time [:)]

The theorem states that when 2 non parallel velocities are given at any 2 points then , draw perpendiculars from them and the point of intersection of these perpendiculars gives us the location of INSTANTANEOUS CENTRE of zero velocity )IC . 

It can be followed in the figure given below

Now we can proceed by conserving energy as told above and using the fact that

V of COM = w * l /2 [cos theta]

1) d) as charge is inside the shell and field inside the shell is 0

2)Since Force is 0 ,force applied by shell would be in the opposite direction to what  the charge q1 is applying force on q,ie, if q1 is on right of q then it will apply a repulsive force on q towards left and to balance it the shell would apply the force towards right .However since u have not mentioned the location of q1 exactly ,its impossible to predict the answer