I’m tired of these motherf***ing planes on this motherf***ing treadmill.
The plane and treadmill problem is mentioned here, and here and here.
Basically, a jet plane is setting on a treadmill/conveyor belt. The treadmill is setup so it will match the exact speed of the plane in the opposite direction.
Will it take off?
My answer is yes. It would take off more or less normally. With the exception that the wheels will be spinning twice as fast as normal.
Why? F=MA.
The jet engines excert a huge force in one direction. The treadmill however, is only able to exert a very small force in the opposing direction.
Not convinced? Think of it this way. The plane is standing still on the treadmill with the engines off. You have a cable attached to the front of the plane. The treadmill starts up. How much force does it take to keep the plane from moving? Not that much. The wheels can only provide so much force, mostly just the rolling friction from the wheels.
Now try the opposite. The treadmill is off. You are holding the cable behind the plane. The jet engines start up and roll up to full throttle. How much force does it take to keep the plane in place. A frigging lot.
Unbalanced forces means a net force. Which means acceleration. Which means the plane moves. And takes off.