The maximum static friction on a body is F=μN. Here, N= normal reaction force on the body μ= coe

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The maximum static friction on a body is F=μN. Here, N=...

The maximum static friction on a body is $F=\mu N$. Here, $N=$ normal reaction force on the body $\mu=$ coefficient of static friction The dimensions of $\mu$ is : (a) $\left[\mathrm{MLT}^{-2}\right]$ (b) $\left[\mathrm{M}^{n} \mathrm{~L}^{0} \mathrm{~T}^{n} \theta^{-1}\right]$ (c) dimensionless (d) none of these

The maximum static friction on a body is $F=\mu N$. Here, $N=$ normal reaction force on the body $\mu=$ coefficient of static friction The dimensions of $\mu$ is :
(a) $\left[\mathrm{MLT}^{-2}\right]$
(b) $\left[\mathrm{M}^{n} \mathrm{~L}^{0} \mathrm{~T}^{n} \theta^{-1}\right]$
(c) dimensionless
(d) none of these

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Key Concepts

Normal_Reaction_Force

The normal reaction force is the support force exerted perpendicularly by a surface on an object in contact with it. It is a key concept in mechanics, as it directly influences the maximum possible frictional force between surfaces.

Dimensional_Analysis

Dimensional analysis is a method used to check the consistency of equations by comparing the dimensions on both sides of an equation. When applied to the coefficient of friction, it reveals that since it is the ratio of two forces (having the same dimensions), it does not have any inherent dimensions and is therefore dimensionless.

Coefficient_of_Friction

The coefficient of friction is defined as the ratio of the frictional force to the normal reaction force between two surfaces. Since both forces have the same dimensions, the coefficient of friction is a dimensionless quantity. This concept is crucial in understanding how rough or smooth a contact surface is.

Static_Friction

Static friction is the force that resists the initiation of sliding motion between two surfaces in contact. It acts up to a maximum value that is proportional to the normal reaction force, with the constant of proportionality being the coefficient of static friction. This force is essential for understanding how objects remain at rest despite applied forces.

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