Question

An object is kept on a smooth inclined plane of 1 in $l$. The horizontal acceleration to be imparted to the inclined plane so that the object is stationary relative to the incline is

• A. $g \sqrt{l^{2}-1}$
• B. $g (l^{2}-1)$
• C. $\frac{g}{\sqrt{l^{2}-1}}$
• D. $\frac{g}{l^{2}-1}$

Answer 1

Answer: (C)

$\frac{g}{\sqrt{l^{2}-1}}$

Answer 2

Here, $sin\theta=1/l$ For the object to remain stationary relative to incline, we have $macos\theta=mgsin\theta$ $a=gtan\theta$ $=g \frac{1}{\sqrt{l^{2}-1}}$