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A small block of mass 'm' is placed insi...

A small block of mass 'm' is placed inside a hollow cone rotating about vertical axis with angular velocity `omega` as shown in fig. The semi-vertex angle of cone is `theta` and the coefficient of friction between the cone and block is `mu`. If the block is to remain at a constant height 'b' above the apex of the cone, what is the maximum value of `omega` ?

A

`omega_("max")= sqrt((g(1-mutantheta))/(btantheta(tantheta-mu)))`

B

`omega_("max")= sqrt((g(1+mutantheta))/(btantheta(tantheta-mu)))`

C

`omega_("max")= sqrt((g(1-mutantheta))/(btantheta(tantheta+mu)))`

D

`omega_("max")= sqrt((g(mu-tantheta))/(btantheta(mutantheta-1)))`

Text Solution

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The correct Answer is:
C
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