Q131 / 160 · AP EAMCET 2024 (20 May Shift 2) · Physics

A horizontal board is performing simple harmonic oscillations horizontally with an amplitude 0.3 m and a period of 4 s . The minimum coefficient of friction between a heavy body placed on the board if the body is not to slip is.

  • A
    $\mu=0.05$
  • Correct answer
    B
    $\mu=0.075$
  • C
    $\mu=0.173$
  • D
    $\mu=1.14$

Solution

The maximum acceleration of oscillation, $\begin{aligned} & a_{\max }=\omega^2 A \Rightarrow \mu g=\left(\frac{2 \pi}{T}\right)^2 A \\ & \Rightarrow \mu=\frac{4 \pi^2 \times 0.3}{(4)^2 \times 10}=0.075 \end{aligned}$

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

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