Solution Found!
a. A large box of mass M is pulled across a horizontal,
Chapter 6, Problem 50P(choose chapter or problem)
Problem 50P
a. A large box of mass M is pulled across a horizontal, frictionless surface by a horizontal rope with tension T. 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 μs and μk,respectively. Find an expression for the maximum tension Tmax for which the small box rides on top of the large box without slipping.
b. A horizontal rope pulls a 10 kg wood sled across friction-less snow. A 5.0 kg wood box rides on the sled. What is the largest tension force for which the box doesn’t slip?
Questions & Answers
QUESTION:
Problem 50P
a. A large box of mass M is pulled across a horizontal, frictionless surface by a horizontal rope with tension T. 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 μs and μk,respectively. Find an expression for the maximum tension Tmax for which the small box rides on top of the large box without slipping.
b. A horizontal rope pulls a 10 kg wood sled across friction-less snow. A 5.0 kg wood box rides on the sled. What is the largest tension force for which the box doesn’t slip?
ANSWER:
Step 1 of 4
Part (a)
A large box of mass \(M\) is pulled horizontally without any friction. The mass \(m\) is placed on the top of the mass \(M\). The two masses have friction. We are going to find the tension on the rope so that the small mass \(m\) should not slip.
The coefficients of the static and the kinetic friction between the small and the large boxes are \(\mu_{\mathrm{s}}\) and \(\mu_{\mathrm{k}}\) respectively.
