Center of gravity calculate force on tail

[Richardos]

Homework Statement

The fore and aft distance between the two main wheels and the single tail wheel of an aircraft is 8m. The unloaded weight of the aircraft is 20kN and its centre of gravity is 0.5m behind the main wheels. Calculate the force on the tail wheel and on each main wheel.

Homework Equations

The Attempt at a Solution

i get
Tail Wheel = 8.45 kN Main Wheel = 1.55 kN

I just wanted to check i had it correct becaues i am not sure.

Thanks

 

[tiny-tim]

Welcome to PF!

Hi Richardos! Welcome to PF!

The fore and aft distance between the two main wheels and the single tail wheel of an aircraft is 8m. The unloaded weight of the aircraft is 20kN and its centre of gravity is 0.5m behind the main wheels. Calculate the force on the tail wheel and on each main wheel.
…
i get
Tail Wheel = 8.45 kN Main Wheel = 1.55 kN

How does it not add to 20? And how is the tail wheel taking so much weight?

Show us what you've tried, and then we'll know how to help.