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hey everybody hey dawn today we are just going to do a basic vibration example this is for pretty much how to derive the equation of motion and best way to do that first of all you need to know the basics like Newtons second law Im sure everybody knew this summation of forces equals MA or in this case we can actually work right in a way mass and this form around the outlook for we can actually do it summation of the moment equals the moment of inertia and X double dot Im sure everybody knows that its actually the acceleration you understand that a distance is considered as X follow a city is considered as X dot and double dot is actually considered as the acceleration this is velocity and this is the distance okay get that out of the way whats first when you look at a problem like this first thing you need to do is draw a Freebody diagram best thing is to start out familiar this is by the way the circle and its connected into this pen and we have a spring over here we have anoth