Question

Review Conceptual Example 7 as background material for this problem. A jet transport has a weight of 1.00 × 106 N and is at rest on the runway. The two rear wheels are 15.0 m behind the front wheel, and the plane’s center of gravity is 12.6 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. jikasha

Answer 1

Answer:

160000 Newtons

420000 Newtons

Explanation:

When we multiply force with radius we get torque

$\tau=F\times r$

Torque about front end

$Nr=mgr\\\Rightarrow N\times 15=1\times 10^6\times (15-12.6)\\\Rightarrow N=\frac{1\times 10^6\times (15-12.6)}{15}\\\Rightarrow N=160000\ N$

The normal force exerted by the ground on the front wheel is 160000 Newtons

For the rear wheels as there are two the normal force will be halved

Torque about rear end

$2Nr=mgr\\\Rightarrow 2\times N\times 15=1\times 10^6\times 12.6\\\Rightarrow N=\frac{1\times 10^6\times 12.6}{2\times 15}\\\Rightarrow N=420000\ N$

The normal force exerted by the ground on the two rear wheels is 420000 Newtons