An object kept on a smooth plane of $1$ in $l$ cn be kept stationary relative to the incline by giving a horizontal acceleration of .......... to the inclined plane.

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct options are
A $\frac{g}{\sqrt{l^{2} - 1}}$
C $\frac{g}{\sqrt{1 - l^{2}}}$
$s i n θ = \frac{1}{l}$
For the block to remain stationary, $a = g t a n θ$
$cos θ = \frac{\sqrt{l^{2} - 1}}{l}$
$\Rightarrow tan θ = \frac{1}{\sqrt{l^{2} - 1}}$
$a = \frac{g}{\sqrt{l^{2} - 1}}$

Suggest Corrections

Similar questions

Q. An object is kept on a smooth inclined plane of inclination

{sin}^{- 1} (\frac{1}{L})

can be kept stationary relative to the incline by giving a horizontal acceleration of ______

Q. An object kept on a smooth inclined plane of inclination

θ

with horizontal can be kept stationary relative to the incline by giving a horizontal acceleration to the inclined plane, equal to :

An object is kept on a smooth inclined plane of height 1 unit and length $l$ units. The horizontal acceleration to be imparted to the inclined plane so that the object is stationary relative to the incline is given by

Q. The horizontal acceleration that should be given to a smooth inclined plane of angle

{sin}^{- 1} (1 / l)

to keep an object stationary on the plane relative to the inclined plane is

Q. The horizontal acceleration that should be given to a smooth inclined plane of angle

{sin}^{- 1} (1 / l)

to keep an object stationary on the plane relative to the inclined plane is

Join BYJU'S Learning Program

An object kept on a smooth plane of 1 in l cn be kept stationary relative to the incline by giving a horizontal acceleration of .......... to the inclined plane.

The correct options are A g√l2−1 C g√1−l2sinθ=1lFor the block to remain stationary, a=gtanθcosθ=√l2−1l⇒tanθ=1√l2−1a=g√l2−1

An object kept on a smooth plane of $1$ in $l$ cn be kept stationary relative to the incline by giving a horizontal acceleration of .......... to the inclined plane.

The correct options are
A $\frac{g}{\sqrt{l^{2} - 1}}$
C $\frac{g}{\sqrt{1 - l^{2}}}$
$s i n θ = \frac{1}{l}$
For the block to remain stationary, $a = g t a n θ$
$cos θ = \frac{\sqrt{l^{2} - 1}}{l}$
$\Rightarrow tan θ = \frac{1}{\sqrt{l^{2} - 1}}$
$a = \frac{g}{\sqrt{l^{2} - 1}}$