MCQ
When a body is placed on a rough plane inclined at an angle $\theta $ to the horizontal, its acceleration is
  • A
    $g(\sin \theta - \cos \theta )$
  • $g(\sin \theta + \mu \cos \theta )$
  • C
    $g(\mu \sin \theta  - \cos \theta )$
  • D
    $g\mu (\sin \theta - \cos \theta )$

Answer

Correct option: B.
$g(\sin \theta + \mu \cos \theta )$
b
$F_{\min }=M g \sin \theta+\mu m g \cos \theta=m g(\sin \theta+\mu \cos \theta)$

Therefore acceleration is given by

$A=g(\sin \theta+\mu \cos \theta)$

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