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AP EAMCET · PHYSICS · Laws of Motion

The acceleration of a body sliding down the inclined plane, having coefficient of friction ' \(\mu\) ', is

  1. A \(a=g(\sin \theta+\mu \cos \theta\)
  2. B \(a=g(\sin \theta-\mu \cos \theta)\)
  3. C \(a=g(\cos \theta-\mu \sin \theta)\)
  4. D \(a=g(\cos \theta+\mu \sin \theta)\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(a=g(\sin \theta-\mu \cos \theta)\)

Step-by-step Solution

Detailed explanation

The acceleration of the body down the inclined plane is \(\begin{aligned} & a=\frac{F_{\text {net }}}{M}=\frac{(m g \sin \theta-\mu m g \cos \theta)}{m} \\ & =g(\sin \theta-\mu \cos \theta) \end{aligned}\)