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Questions  

A narrow tube completely filled with a liquid is lying on a series of cylinders as shown in figure. Assuming no sliding between any surfaces, the value of acceleration of the cylinders for which liquid  will not come out of the tube from any where is given by

 

        

 

a
gH/2L
b
gH/L
c
2gH/L
d
gH/2L

detailed solution

Correct option is A

Pure rolling  PA=PB+ρL2a P0+Hρg=P0+ρL2a Hρg=ρL2a a=Hg2L

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