Q97 / 180 · AIIMS 2019 (26 May) · Physics

A disc of radius $2 \mathrm{~m}$ is rotating with angular is to be put on the disc. Friction coefficient between disc and block is $\mu_{\mathrm{K}}=0.3$, then find the maximum distance from axis where the block can be placed without sliding

  • A
    $2 \mathrm{~cm}$
  • Correct answer
    B
    $3 \mathrm{~cm}$
  • C
    $4 \mathrm{~cm}$
  • D
    $6 \mathrm{~cm}$

Solution

$\begin{aligned} & \text { Friction force }=\text { centripetal force } \mu_{\mathrm{K}}(m g) \\ & =m \omega^2 x \\ & \mu_{\mathrm{K}} \cdot g=\omega^2 x \\ & 0.3 \times 10=(10)^2 x \Rightarrow x=\frac{3}{100} \mathrm{~m}=3 \mathrm{~cm}\end{aligned}$

Hence, the correct answer is option: 'B'.

Relevant Questions