Momentum is a property of a system, force describes an interaction between systems. You can define force as the rate of momentum transfer into a system. This has the same units as rate of change of momentum.
When a force is applied to a system momentum is transferred to the system at a rate...
If you are 'forcing' the gyroscope to do anything then you are transferring momentum to it. You need to account for this momentum transfer when you do a momentum balance on the system.
You realize that the website owners are the ones who decide the size and location of advertisements right? They sell that space to pay for the content they create. How could that possibly be immoral?
It's fine that you would prefer website owners use different ways of making money (would you...
Impulse (force integrated over time) is defined as a change in momentum, not force. Force is equivalent to the rate of change of momentum with respect to time (dp/dt) and the rate of change of energy with respect to distance (dE/ds).
Don't you think that if it was achievable for someone at your education level to create a new general purpose control algorithm more efficient than PID that it would have been done a thousand times already?
Why do you need a more efficient control algorithm? If you have a specific application...
This is misleading.
Work is the integral of force over distance. If the force is constant over the distance then of course W = F • D.
If you integrate force with respect to some other quantity, such as time, you do not get work.
Let's be honest, aerospace engineering is pretty much just mechanical engineering but with more specialized electives. Until the OP gives us more information about why/what they hated so much about ME it's almost impossible to give them useful advice.
In a rotating reference frame all objects are by definition subjected to a centripetal acceleration. After all, a rotating reference frame is an accelerating reference frame (aka 'non-inertial') where the acceleration vector is centripetal.
Centrifugal force is an inertial force that results from the change in momentum created by the centripetal force.
Think about when a car accelerates FORWARD but you feel a force pushing you BACK into your seat. That is the inertial force reacting the change in momentum of the car. Centrifugal...