Two boxes of masses m, and me lie on a wedge and are connected by a massless cord going through a massless pulley, as shown in the figure. The angles of the inclined planes with respect to the horizontal are, respectively, Đa and eg. The coefficient of static friction between the boxes and the two planes is 4g. (a) Find formulas for the minimum and maximum values of ma/ma such that the two boxes remain stationary; also, find the critical value of u, such that box B will never slide down the incline. (b) Assuming ma/ma larger than the maximum value found in (a), and coefficient of kinetic friction Ag, find a formula for the acceleration of the two boxes in terms of the two angles, the two masses and the coefficient of kinetic friction. (c) For case b, find a formula for the tension force. This problem must be solved symbolically, no need to substitute numbers.
Two boxes of masses m, and me lie on a wedge and are connected by a massless cord going through a massless pulley, as shown in the figure. The angles of the inclined planes with respect to the horizontal are, respectively, Đa and eg. The coefficient of static friction between the boxes and the two planes is 4g. (a) Find formulas for the minimum and maximum values of ma/ma such that the two boxes remain stationary; also, find the critical value of u, such that box B will never slide down the incline. (b) Assuming ma/ma larger than the maximum value found in (a), and coefficient of kinetic friction Ag, find a formula for the acceleration of the two boxes in terms of the two angles, the two masses and the coefficient of kinetic friction. (c) For case b, find a formula for the tension force. This problem must be solved symbolically, no need to substitute numbers.
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 111AP: A crate of mass 100.0 kg rests on a rough surface inclined at an angle of 37.0with the horizontal. A...
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