A block of mass 10 Kg  is in contact against the inner wall of a hollow cylinder drum of radius 1 m . The coefficient of friction  between the block and the iner wall of the cylinder is 0.1 . The minimum angular velocity needed for the cylinder  to keep the block  stationary when the cylinder is vertical and rotating about its axis will be 

 

  • Option 1)

    \sqrt {10} rad /s

  • Option 2)

    (10 / 2 \pi) rad / s

  • Option 3)

    10 rad /s

  • Option 4)

    10 \pi rad /s

 

Answers (1)

mg = \mu N \\\\ N = m \omega ^ 2 R \\\\ mg = \mu m \omega ^ 2 R \\\\ \omega ^ 2 = 10 /0.1 \\\\ \omega = 10


Option 1)

\sqrt {10} rad /s

Option 2)

(10 / 2 \pi) rad / s

Option 3)

10 rad /s

Option 4)

10 \pi rad /s

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