Solution Found!
a. A large box of mass M is moving on a horizontal surface
Chapter 6, Problem 51P(choose chapter or problem)
a. A large box of mass M is moving on a horizontal surface at speed \(v_{0}\). A small box of mass m sits on top of the large box. The coefficients of static and kinetic friction between the two boxes are \(\mu_{\mathrm{s}}\) and \(\mu_{k}\),respectively. Find an expression for the shortest distance \(d_{\min }\) in which the large box can stop without the small box slipping.
b. A pickup truck with a steel bed is carrying a steel file cabinet. If the truck’s speed is 15 m/s, what is the shortest distance in which it can stop without the file cabinet sliding?
Questions & Answers
QUESTION:
a. A large box of mass M is moving on a horizontal surface at speed \(v_{0}\). A small box of mass m sits on top of the large box. The coefficients of static and kinetic friction between the two boxes are \(\mu_{\mathrm{s}}\) and \(\mu_{k}\),respectively. Find an expression for the shortest distance \(d_{\min }\) in which the large box can stop without the small box slipping.
b. A pickup truck with a steel bed is carrying a steel file cabinet. If the truck’s speed is 15 m/s, what is the shortest distance in which it can stop without the file cabinet sliding?
ANSWER:Step 1 of 4
(a)
We are going to find the expression for the shortest distance \(d_{\min }\) traveled by the large box so that the small box should not slip.
The mass of the large box is \(\mathrm{M}\) and the small box is \(\mathrm{m}\). The coefficients of the static and the kinetic friction are \(\mu_{\mathrm{s}}\) and \(\mu_{\mathrm{k}}\) respectively. Assume that the mass \(\mathrm{M}\) moves with the speed \(\mathrm{v}_{0}\).
