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 the incline is
- $g \sqrt{l^{2}-1}$
- $g (l^{2}-1)$
- $\frac{g}{\sqrt{l^{2}-1}}$
- $\frac{g}{l^{2}-1}$
The Correct Option is C
Solution and Explanation
Top Questions on Inclined planes
- The moment of inertia of semicircular ring about an axis, passing through the center and perpendicular to the plane of ring, is \(\frac{1}{x} \)MR2 , where R is the radius and M is the mass of semicircular ring. The value of x will be___
- JEE Main - 2023
- Physics
- Inclined planes
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. - JEE Main - 2022
- Physics
- Inclined planes
- 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
- JEE Main - 2022
- Physics
- Inclined planes
- 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,
- JEE Main - 2022
- Physics
- Inclined planes
- 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 $g = 10 \; m/s^2$)
- JEE Main - 2019
- Physics
- Inclined planes
Questions Asked in UP CPMT exam
- The concepts of 'struggle for existence' and 'survival of the fittest' are essential parts of the evolutionary theory given by
- UP CPMT - 2015
- What Are The Evidences For Evolution?
- Which of the following is a gymnosperm in which vessels are found?
- UP CPMT - 2015
- Kingdom Plant
- If earth suddenly shrinks by one-third of its present radius, the acceleration due to gravity will be
- UP CPMT - 2015
- Gravitation
- If a wire is stretched to make it $0.1\%$ longer, its resistance will
- UP CPMT - 2015
- Current electricity
- Boiling point of chloroform was raised by $0.323 \,K$, when $0.5143\, g$ of anthracene was dissolved in its $35 \,g$. Molecular mass of anthracene is $(K_b$ for $CHCl_3 = 3.9 \,K \,kg\,, mol^{-1})$
- UP CPMT - 2015
- Solutions
Concepts Used:
Inclined planes
An inclined plane is a simple machine also known as a ramp. It is a simple machine that consists of a sloping surface. Its purpose is to reduce the force that is applied to raise a load. When we need to raise a body vertically, similarly we need to apply a force that is equal to the body’s weight. An incline is like a surface that sets a different angle part from the right one.
Some of the examples of ramps are Roads, vertically, Sloping, wedges, Chisels, Plows, etc.,
Normal Force:
An inclined plane is directed upwards to the opposite direction with the force of gravity, known as the Normal Force. Simply, A normal force is not always directed in the direction that we are accustomed to. But they are not always upwards.
Gravity Force:
The component of the force of gravity is directed opposite to the normal force. It balances the normal force but can’t balance the parallel component of the force of gravity with the help of any other force. It can be resolved into two components- first is directed parallel towards the inclined surfaces, and the other one is directed perpendicular towards the inclined surface.
Read More: Acceleration on Inclined Plane