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TS EAMCET · Physics · Laws of Motion

The force required to move a body up a rough inclined plane is double the force required to prevent the body from sliding down the plane. The coefficient of friction, when the angle of inclination of the plane is \(60^{\circ}\) is

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

Answer & Solution

Correct Answer

(C) \(\frac{1}{\sqrt{3}}\)

Step-by-step Solution

Detailed explanation

For upward motion, \(F_{\mathrm{up}}=m g(\sin \theta+\mu \cos \theta)\) For downward motion, \(F_{\text {down }}=m g(\sin \theta-\mu \cos \theta)\) ...(ii) According to the question,…