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A train locomotive is pulling two cars of the same mass behind it, Fig. 4–51. Determine the ratio of the tension in the coupling (think of it as a cord) between the locomotive and the first car (FT1), to that between the first car and the second car (FT2), for any nonzero acceleration of the train. You need to draw a FBD for each car.
Two people are pulling a 100 kg barge up a river. The forces exerted by the two people are 𝐹⃗ 𝐴 and 𝐹⃗ 𝐵. If the river’s drag force, 𝐹⃗ 𝐷, is 500 N and 𝐹⃗ 𝐴 = 400 𝑁, find the magnitude of 𝐹⃗ 𝐵 and the acceleration of the barge. Assume the y-components of 𝐹⃗ 𝐴 and 𝐹⃗ 𝐵 cancel
One 3.2-kg paint bucket is hanging by a massless cord from another 3.2-kg paint bucket, also hanging by a mass-less cord, as shown in Fig. 4–49. (a) If the buckets are at rest, what is the tension in each cord? (b) If the two buckets are pulled upward with an acceleration of 1.25 m/s2 by the upper cord, calculate the tension in each cord. You need to draw a FBD for each bucket.
What is the acceleration of two falling sky divers (total mass = 132 kg including parachute) when the upward force of air resistance is equal to one-fourth of their weight? (b) After opening the parachute, the divers descend leisurely to the ground at constant speed. What now is the force of air resistance on the sky divers and their parachute? See Fig. 4–44. You need to draw a FBD of the sky divers (combined into one object)
If person B andthe platform he stands on have a combined mass of 45 kg and the tension in the rope is273 N, what is the acceleration of person B? Is it up or down? Be sure to draw a FBD ofperson B + platform.
The crossover operator is applied as follows:A crossover site is selected at random (with equal probability) that divides each string into twosub-strings of non-zero length. That is x = [x1 x2] y = [y1 y2], with length of x1 = length of y1.The outputs are generated as x' = [x1 y2] and y' = [y1 x2]Given that you start with (x1, y1) = ((0 1 0 1 0 1) (1 1 1 1 1 1)), specify which 6-bit strings arepossible values obtained through crossover alone. Justify your answer.