Problem 51P

a. A large box of mass M is moving on a horizontal surface at speed v0. A small box of mass msits on top of the large box. The coefficients of static and kinetic friction between the two boxes are μs and μk,respectively. Find an expression for the shortest distance dmin 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?

Solution 51P

Part (a)

Step 1 of 4:

We are going to find the expression for the shortest distance dmin traveled by the large box so that the small box should not slip.

The mass of the large box is M and the small box is m. The coefficients of the static and the kinetic friction are μs and μk respectively. Assume that the mass M moves with the speed v0.