In the figure above, block B with a mass mB = 8.5 kg is accelerating down a frictionless incline at a uniform rate. Block A is being pulled by a string attached between these two blocks and moves over a massless, frictionless pulley. The coefficient of friction between block A and the horizontal surface is m = 0.22. The angle between the incline and the horizontal is a = 42°. The resulting acceleration of the system along the horizontal and inclined surfaces is a = 1.65 m/s2.
(a) Draw and label the forces (not components) that act on block B as it slides down the incline, which is indicated by the dashed line.
(b) Calculate the normal force of the incline pushing on block B. If you need to draw anything other than what you have shown in part (a) to assist in your solution, use the space below. Do NOT add anything to the figure in part (a).
(c) Calculate the tension in the string connecting the two masses.
(d) On the diagram below, draw and label all the forces acting on block A.
(e) Determine the value of the mass mA for block A.
Answers: 2
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