A 25 N force at 60° is required to set a crate into motion on a floor. What is the value of the static friction?

The normal force of the force given is calculated through the equation,

Fn = F (sin θ)

where Fn is the normal force, F is the force, and θ is the angle.

Fn = (25 N) (sin 60°) = 21.65 N

The x-component of the force applied is,

Fx = (25 N) (cos 60°) = 12.5 N

The value of the coefficient of static friction is calculated through the equation,

F = μFn

μ = Fx / Fn = 12.5 N / 21.65 N = 0.577