A uniform chain of 6 m length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction between the chain and the surface of the table is 0.5, the maximum length of the chain hanging from the table is ____m.
Correct Answer: 2
Solution and Explanation
We know that,
\((x)gλ = μ(6 – x) gλ\)
Where,
x = length of hanging part
\(⇒ x = 3 – 0.5x\)
\(⇒ 1.5x = 3\)
\(⇒ x = \frac {3}{1.5}\)
\(⇒ x = 2\ m\)
So, the answer is \(2\ m\).
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Concepts Used:
Types of Friction
There exists a force called friction which works against the motion between two surfaces that are in contact. Multiple types of friction have been identified, such as static friction, kinetic friction, rolling friction, and fluid friction.
Static friction is the force that opposes the initiation of motion between two surfaces in contact that are not moving relative to each other. It is generally greater than the force of kinetic friction, which is the force that opposes the motion of two surfaces that are in contact and are moving relative to each other. The force of kinetic friction is proportional to the normal force, which is the force perpendicular to the contact surface.
Rolling friction occurs when an object rolls over a surface, such as a wheel rolling on a road. The force of rolling friction is generally less than the force of kinetic friction, which makes it more efficient for transportation.
When an object moves through a fluid like water or air, it experiences fluid friction. The force of fluid friction depends on the object's speed, size, and shape, as well as the properties of the fluid, such as its viscosity.
Also Read: Friction Force Formula
Friction is a fundamental force that affects many aspects of our lives, including transportation, construction, and manufacturing. Understanding the types of friction and their properties is essential for designing and optimizing machines and structures that rely on frictional forces for their function.