A solid sphere of mass ‘m’ and radius ‘R’ is kept on a rough surface. The velocities of air(density ρ ) around the sphere area as shown in the figure. Assuming ‘R’ to be small and m = {4\pi\rhoR^2}/g kg , the minimum value of coefficient of friction so that the sphere starts pure rolling is 1/\beta . (Assuming force due to pressure difference is acting on the centre of mass of the sphere).Determine the value of 'β'

JEE Advanced Model Paper 8 with solutions for online practice

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A solid sphere of mass ‘m’ and radius ‘R’ is kept on a rough surface. The velocities of air(density ρ ) around the sphere area as shown in the figure. Assuming ‘R’ to be small and m =

4πρR2

kg , the minimum value of coefficient of friction so that the sphere starts pure rolling is

. (Assuming force due to pressure difference is acting on the centre of mass of the sphere).Determine the value of 'β'

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