PROBLEMS

$3\mathrm{.}1.$ A $20,000-lb$ airplane with the dimensions shown is being catapulted from

a carrier with a forward acceleration of $3g.$

a$.$ Find the tension in the launching cable $T$ and the wheel reactions $R_1$

and $R_2.$

Probs. $3\mathrm{.}1$ And $3\mathrm{.}2.$

b$.$ Find the horizontal tension and vertical shear in the fuselage at cross

sections $AA$ and $BB$ if the portion of the airplane forward of section $AA$ weighs

$3,500lb$ and the portion aft of section $BB$ weighs $2,000lb.$ Check the results

by considering the part of the airplane between the two cross sections.

c$.$ If the flying speed is $80$ mph $,$ what distance is required for the airplane to

gain this speed? How much time is required?

$3\mathrm{.}2.$ If an airplane with the dimensions used in Prob. $3\mathrm{.}1$ is taxiing, what

maximum braking force may be applied at the main wheels without the airplane

nosing over?