Concept explainers
An advanced spatial disorientation trainer allows the cab to rotate around multiple axes, as well as to extend inward and outward. It can be used to simulate driving, fixed-wing aircraft flying, and helicopter maneuvering. In one training scenario, the trainer rotates and translates in the horizontal plane, where the location of the pilot is defined by the relationships
(a)
The magnitude of the resulting force on pilot.
Answer to Problem 12.66P
We got force
Explanation of Solution
Given information:
Time
Concept used:
Calculation:
Derivatives,
Force components,
Resultant force,
Conclusion:
We got force
(b)
Plot the radial and transverse components of force.
Answer to Problem 12.66P
Plot is in explanation part.
Explanation of Solution
Given information:
Time
Concept used:
Calculation:
Derivatives,
Force components,
Table of
t (sec) | 0.0 | 0.5 | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 | 3.5 | 4.0 | 4.5 | 5.0 | 5.5 |
Fr (lb) | -12.6 | -11.0 | -11.3 | -13.6 | -18.0 | -26.1 | -40.7 | -65.6 | -104.1 | -157.1 | -221.8 | -291.5 |
t (sec) | 6.0 | 6.5 | 7.0 | 7.5 | 8.0 | 8.5 | 9.0 | 9.5 | 10.0 |
Fr (lb) | -356.9 | -408.8 | -441.7 | -457.0 | -464.0 | -478.9 | -520.7 | -604.9 | -738.2 |
Plot,
Table of
t (sec) | 0.0 | 0.5 | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 | 3.5 | 4.0 | 4.5 | 5.0 | 5.5 |
F? (lb) | 26.1 | 24.4 | 18.0 | 10.4 | 5.8 | 7.7 | 17.4 | 32.8 | 49.2 | 60.4 | 61.4 | 49.4 |
t (sec) | 6.0 | 6.5 | 7.0 | 7.5 | 8.0 | 8.5 | 9.0 | 9.5 | 10.0 |
F? (lb) | 26.0 | -3.0 | -29.4 | -44.3 | -41.5 | -19.5 | 17.5 | 60.2 | 96.5 |
Plot,
Conclusion:
Plots are mentioned the explanation part.
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Chapter 12 Solutions
Vector Mechanics for Engineers: Dynamics
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