Question

A small airplane is sitting at rest on the ground. Its center of gravity is 2.58 mm behind the nose of the airplane, the front wheel (nose wheel) is 0.800 mm behind the nose, and the main wheels are 3.02 mm behind the nose. What percentage of the airplane's weight is supported by the nose wheel

Answer 1

The percentage of the weight supported by the front wheel is A= 19.82 %

Step-by-step explanation:

B] Let the mass of plane be m, force on backwheels be Nb and nosewheel be Nn

Torque equation about nose wheel,

mg*(2.58-0.8) - Nb *(3.02-0.8) = 0

Nb = mg*(2.58-0.8)/(3.02-0.8) = 0.8018 mg

Nn = mg - Nb = (1-0.8018) mg = 0.1982mg

Weight percentage supported by front wheel = 19.82% answer