List of top Physics Questions on Inclined planes

A block slides down a smooth inclined plane, and its acceleration is found to be \( \frac{g}{8} \). If \( g \) is the acceleration due to gravity, what is the angle of inclination \( \theta \) of the plane?
A body of mass 5 kg is placed on a frictionless inclined plane of angle 30°. What is the component of the weight of the body along the plane?
A block slides down a smooth inclined plane and its acceleration is found to be half the acceleration due to gravity. What is the angle of inclination \( \theta \) of the plane?
Two monkeys of mass 10 kg and 8 kg are moving along a vertical light rope. The former is climbing up with an acceleration of \( 2 \, \text{m/s}^2 \), while the latter is coming down with a uniform velocity. Find the tension in the rope at the fixed support.

The moment of inertia of a semicircular ring about an axis, passing through the center and perpendicular to the plane of the ring, is \((\frac{1}{x})MR^2\), where R is the radius and M is the mass of the semicircular ring. The value of x will be:

Two blocks $A$ and $B$ of masses $m_A = 1 \; kg$ and $m_B = 3 \; kg$ are kept on the table as shown in figure. The coefficient of friction between $A$ and $B$ is $0.2$ and between $B$ and the surface of the table is also $0.2.$ The maximum force $F$ that can be applied on $B$ horizontally, so that the block $A$ does not slide over the block $B$ is : (Take $g = 10 \; m/s^2$)