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TS EAMCET · Physics · Laws of Motion

A body is sliding down a rough inclined plane. The coefficient of friction between the body and the plane is 0.5 . The ratio of the net force required for the body to slide down and the normal reaction on the body is \(1: 2\). Then the angle of the inclined plane is

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

Answer & Solution

Correct Answer

(C) \(45^{\circ}\)

Step-by-step Solution

Detailed explanation

\[ \mu=0.5, \frac{F}{R}=\frac{1}{2} \] Net force acting downward \(=m g \sin \theta-f\) where, \(f=\) frictional force \(=\mu R(R=\) Normal reaction \()\) \(=\mu m g \cos \theta\) \[ \frac{F}{R}=\frac{1}{2} \]…
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