The correct relationship between the coefficient of friction (µ) and the angle of friction (ɸ) :is

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SSC JE Mechanical 07 Jun 2024 Shift 2 Official Paper - 1
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  1. µ = cot ɸ 
  2. µ = tan ɸ 
  3. µ = sin ɸ
  4. µ = cos ɸ

Answer (Detailed Solution Below)

Option 2 : µ = tan ɸ 
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Detailed Solution

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Explanation:

The angle at which the resultant of force of limiting friction F and normal reaction R makes with the direction of normal reaction R is called the angle of friction.

In 

where, N = normal reaction to the surface of body

∴ μ = tan θ

Additional Information

It is also equal to the angle of repose which is defined as the minimum angle made by an inclined plane with the horizontal such that an object placed on the inclined surface just begins to slide.

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