How Is Normal Force Calculated on an Inclined Plane?

[sakebu]

Homework Statement

μs = .300
Mass = 3.00kg
Incline = 35°
What is the minimum normal force applied to prevent the crate from sliding down the incline?

Homework Equations

μs = Fk / n

The Attempt at a Solution

The book solution is 32.1N but I have no idea how they got that.

 

[PeterO]

Homework Statement

μs = .300
Mass = 3.00kg
Incline = 35°
What is the minimum normal force applied to prevent the crate from sliding down the incline?

Homework Equations

μs = Fk / n

The Attempt at a Solution

The book solution is 32.1N but I have no idea how they got that.

If this crate is left alone, it will slip down as friction is not big enough.

One way to stop it would be to apply an appropriate force parallel to the slope.

What is planned here is to apply a force perpendicular to the slope, which will increase the friction force so that it is strong enough to prevent motion.