MCQ
$A$ particle inside the rough surface of $a$ rotating cone about its axis is at rest relative to it at $a$ height of $1m$ above its vertex. Friction coefficient is $\mu = 0.5$, if half angle of cone is $45^o$, the maximum angular velocity of revolution of cone can be :
  • A
    $\sqrt {10} \,$ rad/s
  • $\sqrt {30} \,$ rad/s
  • C
    $\frac{{\sqrt {40} }}{3}\,$ rad/s
  • D
    $\sqrt {50} \,$ rad/s

Answer

Correct option: B.
$\sqrt {30} \,$ rad/s
b

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