Acceleration Of Block On Smooth Inclined Plane MCQ - Practice Questions with Answers

1. When an Inclined Plane is at rest

$R=m g \cos \theta$ along with normal to the incline $m g \sin \theta=m a_{\text {along the incline }}$

$$
a=g \sin \theta
$$
 

2. When an Inclined Plane is given Acceleration 'b'

$$
\begin{aligned}
& R=m g \cos \theta+m b \sin \theta \\
& m a=m g \sin \theta-m b \cos \theta \\
& a=g \sin \theta-b \cos \theta
\end{aligned}
$$

* Condition for the body to be at rest relative to the inclined plane.

$$
\begin{aligned}
& a=g \sin \theta-b \cos \theta=0 \\
& b=g \tan \theta
\end{aligned}
$$