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# I need help with 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

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)

$10 \pi rad /s$

Views

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

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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