True. The component of the normal force on the object parallel to the plane balances the friction force on the object at rest.
What is component of normal force parallel to the plane?
An object placed on an inclined plane is subject to three forces, namely;
- Normal force acting downwards
- Component of the normal force acting parallel to the plane
- Frictional force, parallel to the plane
Net force acting on the object at rest
∑F = 0
mg sinθ - μFₙ cosθ = 0
mg sinθ = μFₙ cosθ
where;
- mg sinθ is component of the normal force acting parallel to the plane
- μFₙ cosθ is frictional force, parallel to the plane
Thus, the component of the normal force on the object parallel to the plane balances the friction force on the object at rest.
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