A block of mass m is pulled along a level surface by a rope that makes an upward angle of with the horizontal. The tension in the rope is T. It passes over a rough patch that has a coefficient of kinetic friction that changes with position, where μ = (Ax – Bx²), and x = 0 is where it entered the rough patch. The block started from rest at x = 0. (c) Determine the upper bound for the maximum distance along x that the box can travel so that this problem is physically meaningful. Put your answer in terms of A and B. Hint: Use the fact that k ≥ 0

A block of mass m is pulled along a level surface by a rope that makes an upward angle of with the horizontal. The tension in the rope is T. It passes over a rough patch that has a coefficient of kinetic friction that changes with position, where μ = (Ax – Bx²), and x = 0 is where it entered the rough patch. The block started from rest at x = 0. (c) Determine the upper bound for the maximum distance along x that the box can travel so that this problem is physically meaningful. Put your answer in terms of A and B. Hint: Use the fact that k ≥ 0

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...

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