Question

A block is kept on a frictionless inclined surface with angle of inclination '$\alpha$'. The incline is given an acceleration a to keep the block stationary. Then a is equal to :

• A. $g/ tan\,\alpha$
• B. $g\,cosec\,\alpha$
• C. $g$
• D. $g tan\,\alpha$

Answer 1

Answer: (D)

$g tan\,\alpha$

Answer 2

In the frame of wedge, the force diagram of block is shown in figure. From free body diagram of wedge. For block to remain stationary, $ma\, cos\, \alpha = mg\, sin\, \alpha$ $a=g\,tan \, \alpha$