NEET 2019 Physics Cylindrical Motion MCQ Question
A block of mass 10 kg is in contact against the inner wall of a hollow cylindrical drum of radius 1 m. The coefficient of friction between the block and the inner 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 (g = 10 m/s²).
10 rad/s
10 π rad/s
√10 rad/s
10/π rad/s
Correct Answer
Detailed Explanation
The minimum angular velocity ω can be found using the equation ω = √(g/μr), where g is the acceleration due to gravity, μ is the coefficient of friction, and r is the radius. Substituting the given values, ω = √(10/0.1*1) = 10 rad/s.
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