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.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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