Question

In the figure, the minimum value of $a$ at which the cylinder starts rising up the inclined surface is________

• A. $g\tan \theta$
• B. $g\cot \theta$
• C. $g\sin \theta$
• D. $g\cos \theta$

Answer 1

The correct option is A $g\tan \theta$

$\Sigma F_y=0=>N\cos \theta =mg$

$\Sigma F_x=0=>N\sin \theta =ma$

solving two equation we have ,$a=g\tan \theta$