Question

The box shown on the rough ramp above is sliding down the ramp.Draw a Free-Body Diagram and use it to:calculate the force of friction on the box

Answer 1

The free-body diagram of the given situation is shown below:

Fr is the friction force, N is the normal force, Mgcosθ and Mgsinθ are the components of the weight for the case of a body on an incline.

The friction force is given by:

`F_r=\mu N`

Due to the system is in equilibrium for the forces perpendicular to the plane, you have:

`\begin{gathered} N-Mg\cos \theta=0 \\ N=Mg\cos \theta \end{gathered}`

Then, for Fr:

`F_r=\mu Mg\cos \theta`

where,

θ: angle of the incline = 40

M: mass of the body = 10 kg

g: gravitational acceleration constant = 9.8 m/s^2

Replac