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  • A The block is in contact with the internal wall of a hollow cylindrical drum with a radius of 01 m.

A 10\ kg The block is in contact with the internal wall of a hollow cylindrical drum with a radius of 01 m. The coefficient of friction between the block and the inner wall of cylinder is 0.1.

When the cylinder is vertical and rotated around its axis, the minimum angular velocity required by the cylinder to hold the block stationary is:  g=10\frac{m}{s^2}.

Option: 1

\sqrt{10} \ \ \ \frac{rad}{s}


Option: 2

\frac{10}{2\pi} \ \ \ \frac{rad}{s}


Option: 3

10\frac{\ rad}{s}


Option: 4

10\pi\ \frac{rad}{s}


Answers (1)

best_answer

For balancing weight boundary friction:

     f_L\ \geq mg

Or, \mu N\geq mg

Or, \mu mr\omega^2\geq mg

Or, \omega=\sqrt{\frac{g}{r\mu}}

Or,\omega_{min}=\sqrt{\frac{g}{r\mu}}

Or, \omega_{min}=\ \sqrt{\frac{10}{0.1\times1}}

Or,\omega_{min}=10\frac{rad}{s} 

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mansi

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