Box on Two Surfaces
Classical Mechanics
Level
2
A rectangular box of length \(\frac{2}{3} \text{m}\) is initially traveling at \(2 \text{ m/s},\) with its entire length over the smooth (perfectly frictionless) blue surface (shown above). The box gradually moves onto a rough surface (gray) and stops the instant that its entire length is positioned within the rough region.
Determine the coefficient of kinetic friction.
\(\)
Details and Assumptions:
- \(g = 10\text{ m/s}^2.\)
- The pressure at the bottom of the box is always uniform over its area.
by
Steven Chase