Chap06-Solution2 - Chap.6 HW2 Questions 9 In Figure 6-17 a...

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6 Chap.6 HW2 Questions 9. In Figure 6-17, a horizontal force of 100 N is to be applied to a 10 kg slab that is initially stationary on a frictionless floor, to accelerate the slab. A 10 kg block lies on top of the slab; the coefficient of friction μ between the block and the slab is not known, and the block might slip. (a) Considering that possibility, what is the possible range of values for the magnitude of the slab's acceleration a slab ? ( Hint : You don't need written calculations; just consider extreme values for .) If = 0, a slab = F/m slab = 100/10 = 10 m/s 2 . If = max value, slab+ block stick together and, a slab = F/(m slab + m block ) = 100/(10+10) = 5 m/s 2 . Range of acceleration is 5 – 10 m/s 2 . (b) What is the possible range for the magnitude a block of the block's acceleration? If = 0, a block = 0 since there is no force on the block. . If = max value, slab+block stick together and so a block is 5 m/s 2 . Range of acceleration is 0 – 5 m/s 2 . Hint: If the coefficient of static friction between the block and slab is large the block accelerates with the slab and you can consider the two to be a single object. If the coefficient of static friction is zero the block remains stationary and the slab accelerates from under it. 10. The path of a park ride that travels at constant speed through five circular arcs of radii R 0 , 2 R 0 , and 3 R 0 is shown. Rank the arcs according to the magnitude of the centripetal force on a rider traveling in the arcs, greatest first. Centripetal force = mv 2 / r . Since v is constant, we just need to focus on r. The curve with the smallest radius will have the largest centripetal force. So the ranking is: 4, 3, and then 5, 1, 2 all tie for smallest. Problems 28. In Figure 6-35, blocks A and B have weights of 44 N and 22 N, respectively. (a) Determine the minimum weight of block C to keep A from sliding if s between A and the table is 0.20. (b) Block C suddenly is lifted off A . What is the acceleration of block A if k between A and the table is 0.15?
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This note was uploaded on 04/04/2008 for the course PHYS 213 taught by Professor Oshea during the Spring '08 term at Kansas State University.

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Chap06-Solution2 - Chap.6 HW2 Questions 9 In Figure 6-17 a...

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