List of top Physics Questions on Inclined planes

The acceleration of a body sliding down an inclined surface is:
A block of metal, of $25\text{ g}$ mass moves down without acceleration when the plane is inclined at an angle of $30^\circ$. When the inclination is increased by $30^\circ$, find the downward acceleration of the block.
A body of mass \(10\,\text{kg}\) is moving up on an inclined plane of \(30^\circ\) with an acceleration \(2\,\text{m s}^{-2}\). Find the force required, if the coefficient of friction between the object and the plane surface is \(\frac{\sqrt{3}}{6}\), [given \(g = 10\,\text{m s}^{-2}\)].
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:

The magnetic flux through a coil perpendicular to its plane is varying according to the relation \(\varphi = 5t^3 + 4t^2 + 2t - 5\) Weber. If the resistance of the coil is 5 ohm, then the induced current through the coil at t = 2 s will be,
A block ‘A’ takes 2 s to slide down a frictionless incline of 30° and length ‘l’, kept inside a lift going up with uniform velocity ‘v’. If the incline is changed to 45°, the time taken by the block, to slide down the incline, will be approximately

Two inclined planes are placed as shown in figure. A block is projected from the point A of inclined plane AB along its surface with a velocity just sufficient to carry it to the top point B at a height 10 m. After reaching the point B the block sides down on inclined plane BC. Time it takes to reach to the point C from point A is t(√2 + 1) s. The value of t is ______. 
(Use g = 10 m/s2)

Fig. 
A brick of mass 2 kg slides down an incline of height 5 m and angle \( 30^\circ \). If \( \mu = \frac{1}{2\sqrt{3}} \), the velocity at the bottom is (Take \( g = 10 \text{ m/s}^2 \)) (A) 5 m/s
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 $g = 10 \; m/s^2$)