PR.2 Three of masses M, 3M and 2M are connected to each other by massless cords...

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PR.2 Three of masses M, 3M and 2M are connected to each other by massless cords as shown in the figure. The coefficient of kinetic friction between the block of mass 3M and the horizontal table is . Pulleys are small and frictionless. g Fri b) Write down the friction force Frin terms of k, M and g. 3M M a) Call the tension forces in the cords as FTI and FT2 and force of friction as Fr. Draw here free-body diagrams for each block and show all forces acting on them. c) Write down the equation of motion for each block in terms of all or some of FT1, FT2, M, g, k, and acceleration a. d) By using the above equations of part c, derive an equation for the acceleration a of the system of three blocks in terms of g, and k. e) Derive the equations for the tension forces FT1 and FT2 in terms of M, g, and H. 2M f) M=1.5 kg, and uk= 0.20 are given. Using the equations of parts d and e, calculate the acceleration a and the tension forces FT1 and FT2. PR.2 Three of masses M, 3M and 2M are connected to each other by massless cords as shown in the figure. The coefficient of kinetic friction between the block of mass 3M and the horizontal table is . Pulleys are small and frictionless. g Fri b) Write down the friction force Frin terms of k, M and g. 3M M a) Call the tension forces in the cords as FTI and FT2 and force of friction as Fr. Draw here free-body diagrams for each block and show all forces acting on them. c) Write down the equation of motion for each block in terms of all or some of FT1, FT2, M, g, k, and acceleration a. d) By using the above equations of part c, derive an equation for the acceleration a of the system of three blocks in terms of g, and k. e) Derive the equations for the tension forces FT1 and FT2 in terms of M, g, and H. 2M f) M=1.5 kg, and uk= 0.20 are given. Using the equations of parts d and e, calculate the acceleration a and the tension forces FT1 and FT2.

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