Question

A jet transport has a weight of 2.49 x 106 N and is at rest on the runway. The two rear wheels are 17.0 m behind the front wheel, and the plane's center of gravity is 12.5 m behind the front wheel. Determine the normal force exerted by the ground on (a) the front wheel and on (b) each of the two rear wheels.

Answer 1

the plane is at rest

so,

net torque will be 0

net torque about front wheel = 2.49 * 10^6 * 12.5 - N * 17

2.49 * 10^6 * 12.5 - N * 17 = 0

N = 1830882.35294 N

normal force on each of the rear wheel = N / 2

normal force on each of the rear wheel = 1830882.35294 / 2

normal force on each of the rear wheel = 915441.17647 N

torque about rear wheel = 2.49 * 10^6 * (17 - 12.5) - N1 * 17

2.49 * 10^6 * (17 - 12.5) - N1 * 17 = 0

N1 = 659117.647059 N

normal force on the front wheel = 659117.647059 N