A block of mass is in contact against the inner wall of a hollow cylindrical drum of radius . The coefficient of friction between the block and the inner wall of the cylinder is . 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: ()
- A
- B
- C(Wait, checking options) -> Correct option logic gives 10.
- D
Solution & Step-by-step Explanation
For the block to be stationary, the downward weight must be balanced by the upward frictional force:
The frictional force is given by , where is the normal force.The normal force provides the required centripetal force: .Substituting :
The frictional force is given by , where is the normal force.The normal force provides the required centripetal force: .Substituting :