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AP EAMCET · PHYSICS · Laws of Motion

A block of mass \(m\) is lying on a rough inclined plane having an inclination \(\alpha=\tan ^{-1}\left(\frac{1}{5}\right)\). The inclined plane is moving horizontally with a constant acceleration of \(a=2 \mathrm{~ms}^{-2}\) as shown in the figure. The minimum value of coefficient of friction, so that the block remains stationary with respect to the inclined plane is (Take, \(g=10 \mathrm{~ms}^{-2}\) )

  1. A \(\frac{2}{9}\)
  2. B \(\frac{5}{12}\)
  3. C \(\frac{1}{5}\)
  4. D \(\frac{2}{5}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{5}{12}\)

Step-by-step Solution

Detailed explanation

The block-plane system is shown in the figure, So, from the above free body diagram (FBD), downward acceleration, Divided the Eq. (iii) by \(\sin \alpha\) and putting the values,…