MYLAB MATH FOR EXCURSIONS IN MATHEMATIC
9th Edition
ISBN: 9780136415893
Author: Tannenbaum
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Chapter 6, Problem 40E
The Platonic Cowboys are a country and western band based in Nashville. The Cowboys are planning a concert tour to the seven cities in the mileage chart shown in Fig. 6-46.
a. Find the nearest-neighbor tour with Nashville as the starting city. What is the total length of this tour?
b. Find the nearest-neighbor tour using St. Louis as the starting city. Write the tour as it would be traveled by the band, which must start and end the tour in Nashville. What is the total length of this tour?
Mileage Chart
| Boston | Dallas | Houston | Louisville | Nashville | Pittsburgh | St. Louis | |
| Boston | * | 1748 | 1804 | 941 | 1088 | 561 | 1141 |
| Dallas | 1748 | * | 243 | 819 | 660 | 1204 | 630 |
| Houston | 1804 | 243 | * | 928 | 769 | 1313 | 779 |
| Louisville | 941 | 819 | 928 | * | 168 | 388 | 263 |
| Nashville | 1088 | 660 | 769 | 168 | * | 553 | 299 |
| Pittsburgh | 561 | 1204 | 1313 | 388 | 553 | * | 588 |
| St. Louis | 1141 | 630 | 779 | 263 | 229 | 588 | * |
Figure
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Trolley of the overhead crane moves along the bridge rail. The trolley position is
measured from the center of the bridge rail (x = 0) is given by x(t) = 0.5t^3-6t^2+19.5t-14 : 0 <= t <= 3 min. The
trolley moves from point A to B in the forward direction, B to C in the reverse direction and C to D again in the
forward direction.
CONTROL PANEL
END TRUCK-
RUNWAY BEAM-
BRIDGE RAIL
HOIST
-TROLLEY
TROLLEY BUMPER
TROLLEY DRIVE
LPENDANT TRACK
-TROLLEY CONDUCTOR
TRACK
WIRE ROPE
-HOOK BLOCK
-BRIDGE DRIVE
-END TRUCK BUMPER
-RUNWAY RAIL
TROLLEY END STOP
-CONDUCTOR BAR
PENDANT FESTOONING
TROLLEY FESTOONING
PENDANT CABLE
PENDANT
x(t)=0.5t^3-6t^2+19.5t-14
v(t)=1.5t^2-12t+19.5
a(t)=(dv(t))/dt=3t-12
Fig. T2.2: The overhead crane
Total masses of the trolley, hook block, and the load attached to the hook block are 110 kg, 20
kg, and 150 kg. Damping coefficient, D, is 40 kg/s.
What is the total amount of energy required from the trolley motor to move the system
[Hint: Use Newton's 2nd law to obtain the…
CONTROL PANEL-
BRIDGE RAIL
HOIST
-TROLLEY
TROLLEY BUMPER
-BRIDGE DRIVE
END TRUCK-
RUNWAY BEAM-
END TRUCK BUMPER
-RUNWAY RAIL
TROLLEY DRIVE
TROLLEY END STOP
-CONDUCTOR BAR
LPENDANT TRACK
TROLLEY CONDUCTOR
TRACK
-WIRE ROPE
PENDANT FESTOONING
TROLLEY FESTOONING
-PENDANT CABLE
-HOOK BLOCK
PENDANT
Chapter 6 Solutions
MYLAB MATH FOR EXCURSIONS IN MATHEMATIC
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