MCQ
What force should be applied on the wedge so that block over it does not move? (All surfaces are smooth)
  • A
    $F=(M+m) g \cot \theta$
  • $F=(M+m) g \tan \theta$
  • C
    $F=(M+m) g \sin \theta$
  • D
    $F=(M+m) g \cos \theta$

Answer

Correct option: B.
$F=(M+m) g \tan \theta$
b
(b)

$a =\left(\frac{ F }{ m + M }\right) \ldots \ldots(1)$

$m a \cos \theta=m g \sin \theta$

$a=g \tan \theta$

Put in $(1)$

$F=(M+m) g \tan \theta$

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