Question

In the figure shown, the minimum value of the acceleration of wedge ($a$) 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 $g\tan \theta$

Using the concept of pseudo force in the frame of wedge
The resolution of forces are shown below

For cylinder to rise up the condition to be satisfied is
$ma\cos \theta >mg\sin \theta$
i.e., $a>g\tan \theta$
$\therefore a_{\text{min}}=g\tan \theta$
[cylinder will be at the point of rising up the inclined plane]