ConjuringFrictionForces
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Radians and unit analysis The comment by MrYouMath is correct. For the purposes of dimensional analysis, the radian is considered a dimensionless quantity and therefore does not need to be included. ...

I thought I would expand a little on the answer offered by Karlo. Long story short, I would not try to calculate the analytical time response of a system to a square wave. That would be a serious ...

Similar to OpticalResonator's answer, I would suggest using the laser/waterjet cutter to mark the hole locations (although you can always mark the holes manually after cutting). You should probably ...

Real-world engineering example To my knowledge there are no simple analytical methods of determining whether an object such as a sword can cut cleanly through any arbitrary object. In manufacturing ...

There are two major benefits to dimensional analysis (non-dimensional coefficients) according to Frank M. White, Fluid Mechanics, 2nd Ed. My answer is heavily paraphrased from this source. They allow ...

To my knowledge the simplest way to accomplish the transfer function... $$G(s) = \frac{E_o(s)}{E_i(s)} = \frac{0.0364s}{0.0002s + 1} = \frac{KTs}{Ts +1}$$ ...is the following high-pass filter ...

You have stumbled across the fundamental problem of using an encoder to measure speed: they are not great for measuring low speeds. Why is using an encoder to measure speed an issue? The encoder ...

Firstly, in reference to nomenclature: in ISO (metric) standards the pitch of a leadscrew is given in units of distance/revolution. However, Unified (inch series) standards, pitch is given in TPI (...

The main issue here is a misunderstanding of how stability is defined. Stability is not defined by the step response, but is instead defined by the system response to initial conditions (or an impulse ...

Here is what you need to know when selecting a grinding wheel. My experience is in manufacturing research and I do not know much about the specifics of knife making, but there are some general rules ...

I don't know much about the operation of a Telsa Turbine but I can talk in general about what affects the stiffness of an object. Short answer The geometry of the disc and the material of the disc ...

The question is not answerable using only the equations and constraints given. However, we can get close to the answer. Power out of the motor Mechanical power is calculated by: $$P = Fv = mgv$$ ...

It appears that you are trying to derive the transfer function of the system, that is, the input/output relationship in the frequency domain for zero initial conditions. $G(s) = \frac{Y(s)}{R(s)}$ ...
Ziegler-Nichols tuning will not work for this system because there is no energy loss. The reason that your system oscillates regardless of the value of $K$ that you choose is because there is no ...