b. [6 pts] Rank all horizontal forces in terms of their magnitudes. Do not rank the vertical forces. No explanation required. c. [6 pts] Find the tension in the rope that is attached to the wall. Explain your work. d. [6 pts] Find the magnitude of the friction force between block B and the table. Explain your work. e. [6 pts] Find the pulling force P. Explain your work.Problem 1: (60 points) Explain your work. Two blocks are arranged as shown. Block A has mass ma and is tied to the wall with a rope. It sits on A top of block B which has mass me. Block B is being P pulled along a table by a force P. There is friction B between the two blocks. There is also friction between the table and block B. The coefficients of kinetic friction between blocks A and B and between block B and the table are the same (HK). Block B is moving to the right and has an acceleration a in the direction of force P. Use g=10 m/s2. a=0.5 m/s? MA=2 kg MB=4 kg HK=0.3 a. [30 pts] Draw free-body diagrams for each of the blocks in the spaces provided. Make sure to label each force clearly using double subscripts (except pulling force P, just use P for that one). Include coordinate systems. Indicate Newton's third law force pair(s). FBD of block: A FBD of block: B Did you indicate Newton's third law force pairs in the FBDs? Yes / No Set up Newton's 2"d law equations. (1) A: E Fx = = (2) A: E Fy = = (3) B: E Fx = = (4) B: E Fy = =f. [6 pts] (No explanation required) If you were to double the pulling force, block B would have a greater acceleration than before. Suppose a pulling force Pi produces an acceleration an to the right and a pulling force P2= 2 Pi produces an acceleration a2 (also to the right). How do the magnitudes of a, and a2 compare? (i) az = 2 ar (ii) az > 2 ar (iv) more info needed If you chose (iv) explain what info is needed: If you double the pulling force, what happens to the tension in the rope connecting block A to the wall? The tension will (i) increase (ii) decrease (iii) stay the sameProblem 2 (40 points) Explain your work. Three blocks with masses mi, m2, and my, are sitting on a horizontally rotating table (note: the setup is like the one used in lab, the penny on a rotating ruler). Block I has a distance ri from the axis of rotation, blocks 2 and 3 have the same distance r2 = 13 from the axis of rotation. The coefficient of m 3 m, mz static friction between the table and the blocks is His (the same for all three blocks). Use g=10 m/s mi = 10.0g my= 10.0g m3= 20.0g ri= 5.00cm 12 = 13 = 10.0cm Hs=0.810 For parts a-d, suppose the table is rotating at @ , the maximum constant rotation for which the block 3 stays on the table. a. [20 pts] Draw the FBD of block 3 at the instant shown in the figure above. Do NOT use double subscripts. Include an rtz coordinate system. Indicate the center of the circular motion with a dot and label it C. Set up Newton's second law equations. Do NOT solve. F2 = IF. = docxb. [8 pts] Find the maximum angular velocity @max for block 3. Explain your work. c. [6. pts] (No explanation required) Suppose the table is rotating at some constant angular velocity @ and all blocks are rotating along (no block is falling off yet). The radial force is the greatest for which block(s)? If there is more than one, list all: The radial force is the smallest for which block(s)? If there is more than one, list all: d. [6 pts] (No explanation required) Suppose the table's angular speed is gently and continuously increased. Which block(s) will slide first? If there is more than one, list all: Which block(s) will slide last? If there is more than one, list all