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Chapter 5: Q6Q (page 115)
Figure 5-23 shows the same breadbox in four situations where horizontal forces are applied. Rank the situations according to the magnitude of the box鈥檚 acceleration, greatest first.
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July 17, 1981, Kansas City: The newly opened Hyatt Regency is packed with people listening and dancing to a band playing favorites from the 1940s. Many of the people are crowded onto the walkways that hang like bridges across the wide atrium. Suddenly two of the walkways collapse, falling onto the merrymakers on the main floor.
The walkways were suspended one above another on vertical rods and held in place by nuts threaded onto the rods. In the original design, only two long rods were to be used, each extending through all three walkways (Fig. 5-24a). If each walkway and the merrymakers on it have a combined mass of M, what is the total mass supported by the threads and two nuts on (a) the lowest walkway and (b) the highest walkway?
Apparently, someone responsible for the actual construction realized that threading nuts on a rod is impossible except at the ends, so the design was changed: Instead, six rods were used, each connecting two walkways (Fig. 5-24b). What now is the total mass supported by the threads and two nuts on (c) the lowest walkway, (d) the upper side of the highest walkway, and (e) the lower side of the highest walkway? It was this design that failed on that tragic
night鈥攁 simple engineering error.
Figure 5-26 shows a train of four blocks being pulled across a frictionless floor by force. What total mass is accelerated to the right by (a) force, (b) cord 3, and (c) cord 1? (d) Rank the blocks according to their accelerations, greatest first. (e) Rank the cords according to their tension, greatest first.
Agirl and ansled are on the frictionless ice of a frozen lake,apart but connected by a rope of negligible mass. The girl exerts a horizontalforce on the rope. (a) What are the acceleration magnitudes of the sled and (b) What are the acceleration magnitudes of the girl? (c) How far from the girl鈥檚 initial position do they meet?
Figure 5-39 shows an overhead view of a lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force has a magnitude of 6.00 Nand is at . Force has a magnitude of 7.00 N and is at . In unit-vector notation, (a) what is the third force if the lemon half is stationary, (b) what is the third force if the lemon half has the constant velocity v and(c) what is the third force if the lemon half has the varying velocity where tis time?
Figure 5-27 shows three blocks being pushed across a frictionless floor by horizontal force. What total mass is accelerated to the right by (a) force, (b) forceon block 2 from block 1, and (c) forceon block 3 from block 2? (d) Rank the blocks according to their acceleration magnitudes, greatest first. (e) Rank forces, and according to magnitude, greatest first.
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