c) Figure 3 below show, block A, B and C that connected each other using cord passing through two pulleys. Block A and B placed on rough surface of coefficient 0.9. The mass of each block A and B is 7 kg. Block C falls at constant velocity. B C A 40° Figure 3 i. draw the free body diagram for block A. ii. calculate the tension of the cord pulling block A.
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- 6. A cable is pulling on box B, causing both boxes to move together to the right. Make a free-body diagram of block A a. if the table is frictionless, and b. if there is friction between block B and the table and the pulling force is equal in magnitude to the friction force the table exerts on block B. B Horizontal table PullA 1.40-kg object A is connected with a string to a 2.80-kg object B, which is connected with a second string over a massless, frictionless pulley to a 5.60-kg object C. The first String 2 two objects are on a frictionless inclined plane that makes an angle 0 = 30.0° with the horizontal, as shown in the figure. String 1 A Calculate the acceleration a of the masses. a = m/s? Calculate the tension T¡ in String 1, which connects object A and object B. T = Calculate the tension T, in String 2, which connects object B and object C. T2 = N3. You are pulling two small children on a sleigh over level snow. The sleigh and children have a total mass of 47 kg. The sleigh rope makes an angle of 23⁰ with the horizontal. The coefficient of kinetic friction between the sleigh and the snow is 0.11. Calculate the magnitude of the tension in the rope needed to keep the sleigh moving at a constant velocity. please hand write it clearly
- 8. Two 14-kg blocks are connected with a light rope pand the system is accelerating at 1.8 m/s°[Right]. The coefficient of kinetic friction between the blocks and the floor is 0.35. A F. a) Calculate the magnitude of the applied force, F,. b) Calculate the tension in the rope between block B and A.b) A 4 kg block is pulled along a rough inclined plane by a force of 71 N as shown in Figure 2. Given the coefficient of friction between the block and inclined plane is 0.4. i. Draw a free body diagram. ii. Calculate the acceleration of the block. 37⁰ Figure 23. A block of mass m = 5.9 kg is pulled up a 0 = 21° incline as in the figure below with a force of magnitude F = 37 N. (Hint: remember to measure all angles from +x axis.) y a. Draw a free body diagram showing all the forces. NORml Fte F Mass = 5.9k 0-21° F-37N there b. Determine the x and y components of all the forces. X Components of Force f = 37 N Y comporents of Force F=0N X componnt of normal force=ON * Componis of weight=-5.9x 9.8x Sin 210=70. FJN Y Comperents of weight=5.9a 9.8 x Casal. - 53.98 Y Compenents of normal force=mglos H%53.98, c. Write equations summing all the x components and all the y components. F-mg Sm@= mxa 37-20.72= 5.9x a 2.7l6 = Comporunts) Normal force - mg les 0: 05 53.98-53.98-0o d. Find the acceleration of the block if the incline is frictionless. (Give the magnitude of the acceleration. Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.12. (Give the magnitude of the acceleration.) е. 3
- Objects 1 and 2 are shown below. Object 1 has mass 20 kg, object 2 has mass 9 kg, and the kinetic coefficient of friction for object 1 on the table is 0.3. If object 1 is pushed so that it is moving away from the pulley, then find the magnitude of the acceleration of each mass and the tension in the string. motion m2 8. acceleration magnitude D. 5.304 m/s? E. 5.069 m/s F. 4.355.m/s A 4.101 m/s? В. 4.813_m/s C. 4.532.m/s? |--/ 9. tension А 38.93_N D. 44.01 N В. 46.13.N E. 41.2_N C. 42.58 N F. 48.44 N /--/1. Two forces act on a 25 kg cart. One force has a magnitude of 30 N and is directed east. The other force has a magnitude of 25 N and is directed at an angle of 45° north of east. (Draw free-body diagram here) a. What is the net force on the cart? (Include direction.) b. What is the acceleration of the cart?Box A, weighting 60 N, is placed on a table tilted at angle of 15˚. Another box, B, weighing 40N, is placed on top of A. Both boxes are at rest.A) Draw the free-body diagram for box B. What is the frictional force exerted on A by B? B) Draw the free-body diagram for box A. What is the frictional force exerted on A by the table?