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
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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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Kindly solve me this problem number 2 complete (part a,b and c) with steps. Thanks
Problem 2- Inclined planes and friction
Two boxes of masses ma and mg 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, 8, and eg. The coefficient of static friction between the
boxes and the two planes is us. (a) Find formulas for the minimum and maximum values of mB/ma such that the two boxes remain stationary;
also, find the critical value of l, 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 uk, 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.
Problem 3- Bullet, conservation of angular momentum and physical pendulum
A uniform rod of length L and mass M is pivoted at distance L/4 from its upper edge. At time t<0, the rod is at rest, with its axis along the vertical (angle 8 = 0). A bullet
with mass m and velocity v travels along the horizontal direction and, at time t=0, collides against the rod at distance L/2 from its lower edge. After this completely inelastic
collision the bullet is embedded inside the rod (a) Find the angular velocity of the rod+bullet immediately after the collision: (b) Use the work-energy princinle for a rigid
Transcribed Image Text:Problem 2- Inclined planes and friction Two boxes of masses ma and mg 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, 8, and eg. The coefficient of static friction between the boxes and the two planes is us. (a) Find formulas for the minimum and maximum values of mB/ma such that the two boxes remain stationary; also, find the critical value of l, 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 uk, 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. Problem 3- Bullet, conservation of angular momentum and physical pendulum A uniform rod of length L and mass M is pivoted at distance L/4 from its upper edge. At time t<0, the rod is at rest, with its axis along the vertical (angle 8 = 0). A bullet with mass m and velocity v travels along the horizontal direction and, at time t=0, collides against the rod at distance L/2 from its lower edge. After this completely inelastic collision the bullet is embedded inside the rod (a) Find the angular velocity of the rod+bullet immediately after the collision: (b) Use the work-energy princinle for a rigid
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