Coefficient of Friction: Finding in a Factory

[Shah 72]

In a factory, a machine picks up a box by clamping it on both sides. The box of mass 4kg is held clamped on both sides by identical clamps with the contacts horizontal. The machine provides a contact force of 50N with each clamp. Find the minimum coefficient of friction between each clamp and the box for the box not to slip.

 

[skeeter]

have you sketched a free body diagram?

In the vertical direction ...

\[ \sum f_{s \, max} = mg \]

 

[Shah 72]

have you sketched a free body diagram?

In the vertical direction ...

\[ \sum f_{s \, max} = mg \]

Yeah I did that. 40=coefficient of friction ×(50+50).
Coefficient of friction =0.4

 

[Shah 72]

have you sketched a free body diagram?

In the vertical direction ...

\[ \sum f_{s \, max} = mg \]

Thank you so much!