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TS EAMCET · Physics · Laws of Motion

The minimum force required to move a body up an inclined plane is three times the minimum force required to prevent it from sliding down the plane. If the coefficient of friction between the body and the inclined plane is \(\frac{1}{2 \sqrt{3}}\), then the angle of the inclined plane is

  1. A \(60^{\circ}\)
  2. B \(45^{\circ}\)
  3. C \(30^{\circ}\)
  4. D \(15^{\circ}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(30^{\circ}\)

Step-by-step Solution

Detailed explanation

Minimum force required to move a body up a rough inclined plane \(F_1=m g(\sin \theta+\mu \cos \theta)\) Minimum force required to prevent the body from sliding down the rough inclined plane \(F_2=\mu m g \cos \theta\) According to question, \(F_1=3 F_2\)…