Pulling force making an angle $\theta $ to the horizontal is applied on a block of weight $W$ placed on a horizontal table. If the angle of friction is $\alpha $, then the magnitude of force required to move the body is equal to

  • A

    $\frac{{W\sin \alpha }}{{g\tan (\theta - \alpha )}}$

  • B

    $\frac{{W\cos \alpha }}{{\cos (\theta - \alpha )}}$

  • C

    $\frac{{W\sin \alpha }}{{\cos (\theta - \alpha )}}$

  • D

    $\frac{{W\tan \alpha }}{{\sin (\theta - \alpha )}}$

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  • [IIT 2003]