im doing revision for my calculus and under second order differential equations under springs-free vibrations, i saw this formula R=(beta)(y with a dot on top)
can anyone tell me what that y with a dot on top means? there is also one with 2 dots on top. i know that the beta is the damping constant. just need help from someone about the y with dots. thanks
No, the dot means to take the derivative with respect to time, an accent means with respect to another variable, p.e. x (it can also mean time t though). They both mean indeed the derivative but the dot is used more in mechanics (time), while the accent is used more in mathematics (any variable, p.e. x or t). Is this clearing the difference?
It can be confusing, and to be honest I do not know why they use a different symbol for the time derivative in mechanics. In math this difference is not made, at least as far as I know.