Rolling Sphere with liquid

Classical Mechanics Level 4

Answer is an integer.


The answer is 8.

Nitin Sachan by Nitin Sachan , 37, India

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2 solutions

Raj Abhinav
May 23, 2020

An overrated problem

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Aryan Goyat
Oct 21, 2015

Pa=x ,Pb=x+(density) g h ,x=pressure due to rotational motion of liquid Pb-Pa=[m/(volume of shell)] g 2r
--->because h=2r, K=1\2(m+m) (v^2)+1/2(moment of inertia of shell)(w^2) moment of inertia of shell=(2/3) m (r^2) and v=wr using above k=(4/3) m (v^2) ------------------------------------>k/ Pb-Pa=8 pie r r v v/9g-------------------------- A=8

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