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[" Iced at rest inside a hollow hemisphe...

[" Iced at rest inside a hollow hemisphere of radius "R" .The coefficient of friction "],[" rticle and the hemisphere is "mu=(1)/(sqrt(3))" .The maximum height up to which the "]

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A particle is placed at rest inside a hollow hemisphere of radius R . The coefficient of friction between the particle and the hemisphere is mu = (1)/sqrt(3) . The maximum height up to which the particle can remain stationary is

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Two hemispheres of radii R and r(lt R) are fixed on a horizontal table touching each other (see figure). A uniform rod rests on to spheres as shown. The coefficient of friction between the rod and two spherers is mu . Then the maximum value of the ratio (r)/(R) for which the rod will not slide is :

Two hemispheres of radii R and r(lt R) are fixed on a horizontal table touching each other (see figure). A uniform rod rests on to spheres as shown. The coefficient of friction between the rod and two spherers is mu . Then the maximum value of the ratio (r)/(R) for which the rod will not slide is :