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 incline is

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 incline is (A)  g√l2-1 (B)  g(l2-1) (C)  (g/√l2-1)  (D)  (g/l2-1)

Tardigrade Admin · Accepted Answer

Here, sin θ=(1/l) When horizontal acceleration is imparted to the inclined plane, then a pseudo acceleration acts on the object. For the object to remain stationary relative to the incline, we have <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/24f644fa1b9a3c12eb428cfb4bc61dd0-.png" /> a=g tan θ=g (1/√l2-1) or a=(g/√l2-1)

Q. 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 incline is

$g l^{2} - 1$

$g (l^{2} - 1)$

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

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

Here, $sin θ = \frac{1}{l}$
When horizontal acceleration is imparted to the inclined plane, then a pseudo acceleration acts on the object. For the object to remain stationary relative to the incline, we have

$a = g tan θ = g \frac{1}{l ^{2} - 1}$
or $a = \frac{g}{l ^{2} - 1}$

Q. 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 incline is

gl2−1​

g(l2−1)

l2−1​g​

l2−1g​

Here, sinθ=l1​ When horizontal acceleration is imparted to the inclined plane, then a pseudo acceleration acts on the object. For the object to remain stationary relative to the incline, we have a=gtanθ=gl2−1​1​ or a=l2−1​g​

Q. 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 incline is

$g l^{2} - 1$

$g (l^{2} - 1)$

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

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

Here, $sin θ = \frac{1}{l}$
When horizontal acceleration is imparted to the inclined plane, then a pseudo acceleration acts on the object. For the object to remain stationary relative to the incline, we have

$a = g tan θ = g \frac{1}{l ^{2} - 1}$
or $a = \frac{g}{l ^{2} - 1}$