Question

A 28.5-kg box is released on a 28 ∘ incline and accelerates down the incline at 0.20 m/s2 . Determine the coefficient of kinetic friction.

Answer 1

Gravitational acceleration = g = 9.81 m/s²

Mass of the box = m = 28.5 kg

Angle of incline = = 28^o

Normal force on the box from the incline = N

Coefficient of kinetic friction between the box and the incline =

Friction force on the box = f

Acceleration of the box down the incline = a = 0.2 m/s²

From the free body diagram,

= 0.509

Coefficient of kinetic friction between the box and the incline = 0.509