Concept explainers
34,000-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 Bfrom
The tension in the cable.
Answer to Problem 13.190RP
The tension in the cable is
Explanation of Solution
Given information:
Weight of airplane is equal to
Landing speed is equal to
Travel distance is equal to
The kinetic energy of a particle is defined as:
Principle of work and energy is defined as:
Above equation states “If a particle moves from A1 to A2 under an action of force F, the work of the force F is equal to the change in kinetic energy.”
Calculation:
Find the mass of airplane,
The cable tension acts parallel to the cable at the airplane hook.
We know that, the tension
Therefore,
Find
Therefore,
Apply principle of work and energy:
Substitute,
Convert,
Substitute and solve to find tension.
Convert,
Conclusion:
The tension in the cable is calculated by putting the values of velocity and height in an equation.
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Chapter 13 Solutions
Vector Mechanics For Engineers
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