AP EAMCET · PHYSICS · Laws of Motion
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 \(\mu=0.05\)
- B \(\mu=0.075\)
- C \(\mu=0.173\)
- D \(\mu=1.14\)
Answer & Solution
Correct Answer
(B) \(\mu=0.075\)
Step-by-step Solution
Detailed explanation
The maximum acceleration of oscillation, \(\begin{aligned} & a_{\max }=\omega^2 A \Rightarrow \mu g=\left(\frac{2 \pi}{T}\right)^2 A \\ & \Rightarrow \mu=\frac{4 \pi^2 \times 0.3}{(4)^2 \times 10}=0.075 \end{aligned}\)
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