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A Question from Rotational Mechanics

A thin spherical shell lying on a rough horizontal surface is hit by a cue in such a way that the lines of action passes through the centre of shell. As a result the shell starts moving with a linear speed ‘V’ without any initial angular velocity. Find the linear speed of the shell after it starts pure rolling on surface.

Asked Raj

 

Gauss`s law

Nagendra chowdary asked : –

“A circular ring of radius r made of a non conducting material is placed with its axis is parallel to a uniform electric field if the ring rotated by 180 degrees Does the flux changes? A Q charge is uniformly distributed on a thin spherical shell If a point charge is brought near it what is the field at the center?Is u r answer depends on whether it is conducting or non conducting?”

A Numerical Problem on conservation of momentum – An exploding shell

An 80 kg shell is flying at a speed of 36km/h. It explodes into two pieces and one piece of mass 20 kg stops. What is the velocity of other piece?

(It’s a simple problem. Expect the visitors to answer soon)

A Numerical from electrostatics

TIM posted:

Treat the sphere as a solid non-conducting sphere of radius R=6000 km with uniform charge Q=4000 C. The sphere has a conducting spherical shell. The shell has inner radius r1= 6005 km, outer radius r2= 6010 km and zero net charge. Assume gravity is negligible for all parts of this problem.
a) How much charge is on the inner and outer surfaces of the shell layer?
b) What is the potential difference deltaV between the base of the shell and the sphere?

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