Concept explainers
A 32,000-Ib airplane lands on an aircraft carrier and is caught by an arresting cable. The cable is inextensible and is paid out at A and B from mechanisms located below deck and consisting of pistons moving in long oil-filled cylinders. Knowing that the piston-cylinder system maintains a constant tension of 85 kips in the cable during the entire landing, determine the landing speed of the airplane if it travels a distance
The landing speed of the airplane after it being caught by the cable.
Answer to Problem 13.190RP
Explanation of Solution
Given:
Mass of the airplane
Distance travelled
Tension in the cable =
Work of arresting cable force,
Calculation:
As the cable is pulled out, the cable acts parallel with the cable at the airplane hook. For a small displacement,
Here, Q is the work done by the cable force and ?l is the change in length of the cable.
Since Q is constant in both the given conditions
Now by applying Principle of work and energy:
Since,
Conclusion:
The landing speed of the airplane is
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Chapter 13 Solutions
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