Two boxes are connected by a cord running over a pulley . Box I of mass 8.0 kg r

Question

Two boxes are connected by a cord running over a pulley . Box I of mass 8.0 kg rest on the top of the table; the coefficient of kinetic friction between box I and the table is 0.10. Box II has a mass of 15.0 kg. (a) Draw the free-body diagrams for the two boxes, identifying all of the forces acting on each of the masses. (b) Calculate the acceleration of the system. (c) Calculate the tension in the cord. show steps please i already know how to do the free-body diagrams and the Calculate the acceleration of the system. i need help only in part c, which is to calculate the tension. please show all steps

Explanation / Answer

you din't provide the diagram Let m = 8 kg M = 15 kg u = .1 T - u m g = m a (I) Tension less frictional force = net force on m = m a M g - T = M a (II) weight of M less tension = net force on M = M a M g - u m g = (M + m) a adding equations (I) and (II) a) a = (M - u m) g / (M + m) Substitute and solve for a then substitute for a in equation (II

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