Concept explainers
A 34,000-lb 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
Fig. P13.190
Find the tension in the cable (F).
Answer to Problem 13.190RP
The tension in the cable (F) is
Explanation of Solution
Given information:
The landing speed
The weight of the airplane (W) is
The distance traveled by the airplane (d) is
The vertical height of BC (x) is
The vertical height of CA (y) is
The acceleration due to gravity (g) is
Calculation:
Calculate the mass of the airplane (m) using the formula:
Substitute
Convert the unit of landing speed
Here,
Substitute
Calculate the amount of cable
Substitute
Calculate the initial kinetic energy of the airplane
Substitute
The final kinetic energy of the airplane
Calculate the work done by the airplane
Substitute
The expression for the work energy in the airplane as follows:
Substitute
Therefore, the tension in the cable (F) is
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Chapter 13 Solutions
VECTOR MECHANICS FOR ENGINEERS W/CON >B
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