Limiting angle of friction | Formula
Definition of limiting angle of friction:
The angle between resultant reaction R and
normal reaction RN is known as limiting angle of friction. Let us check out the formula of the limiting angle of friction to know more about it.
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Limiting Angle of friction |
Let us consider an object of weight W resisting on a horizontal plane B. A horizontal force P is applied to the body, no relative motion takes place until the force P applied is equal to the force of friction F, acting opposite to the normal direction. The magnitude of the force of friction is given by the formula below.
F = µ W = µ RN
Where RN = Normal reaction
When the body just begins to move, it is in equilibrium under the action of a force which is following below, in the limiting case.
- Weight of the body W
- A horizontal force applied P
- Reaction R between the body and the plane
The resultant reaction R which makes and angle ϕ with the normal reaction RN and it must be equal and opposite to the resultant of W and P The angle ϕ is called the limiting angle of friction. We can check out the formula of limiting angle ϕ following below.
tan ϕ = F / RN = µ ×RN / RN = µ
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