Questions tagged [mathematics]
For engineering questions involving mathematics. For pure mathematics problems, please visit our sister site Mathematics Stack Exchange.
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How to calculate the RPM required from a DC motor in order to pull an object that is attached to wheels
I am attempting to make my first project idea of using a DC motor as a winch motor in order to pull an object, I am using string as the rope to pull object I am attempting to "winch" (air ...
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Static problem with multiple trig terms, one variable
I've encountered an equation that origins from a mechanical static problem containing a spring. I think the simplest formulation is the following:
$$
(a- \sqrt{b-c*cos(x)})*cos(d-x) = e*cos(f+x)
$$
...
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Mathematical descritption of spur gear undercut
I'd like to a plot spur gear in python (using matplotlib, but that is not important..). I've already worked out the involute curves, which can by parametrized easily and which define the main part of ...
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Cost/Objective Function Normalization (MPC)
I am trying to develop an MPC. In this MPC, I predict the temperature and try to bring the sensor value to the desired setpoint temperature. I predict the temperature in the next 180 minutes for the ...
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A transfer function relating jet engine thrust to pitch angle during a phugoid motion
I am doing a school project that requires me to find a transfer function that relates the thrust of a jet engine (which could change with time in one way or another) and the aircraft's pitch angle ...
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How can we calculate the combined stiffness of a spline connected to a straight member?
I have a geometry that looks something like this. What will be the combined stiffness of the members?
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What are the change in forces with a ribbon under tension is twisted?
Consider pallet strapping. It has width W. When the strap is flat, it has some maximum breaking strength B.
Now, let's put one twist in it over X feet. Mentally we have a VERY skinny isoceles ...
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Kinematic description of a gear rack moving around a cogwheel
I am facing some issues regarding the kinematic description of a gear mechanism (or maybe more accurately gear manufacturing process). Basically I would like to obtain an animation, where the cogwheel ...
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What is the moment of inertia of a circular segment?
Hi I read this response but it isn't exactly my situation I have a circle where the axis of rotation is on the c axis like this for a segment equal to the green.
Specifically, I have a round steel ...
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Iterative Method through FEM
Due to reasons, I cannot fully describe the process explicitly so I will be using substitutes to represent the variables.
Nomenclature:
$\bar{X}$ - independent variable 1
$\bar{Y}$ - independent ...
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Factoring Quadratic Equations
Given a general polynomial of the form ax^2 + bx + c = 0, we can factor it to be the product of two terms eg. (x+d)*(x-e) = 0.
Why is it that we can use substitute BOTH equations as equalling zero? If ...
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Drone Geometrical Shape
Drone
Can Drones be designed with geometrical shapes viz Kite, Cylinder, Sphere etc?
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Genetic algorithm implementation for gas/power/water network operation optimizaiton
I have both practical and theoretical background in power, gas and water networks operation and I am familiar with the basics of genetic algorithm. I would like to dive into the network operation ...
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How to model a driver's appropriate braking for deceleration, and throttle for acceleration for a car moving on a straight road?
A project team within my company is stuck on a conundrum and have asked me for some insights. They want to develop a driver model (mathematical or drawn) where input is the car's velocity profile, and ...
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Second moment of area (moment of inertia) for annulus segment
I am a Mechanical Engineering student and I'm working on some calculations for an assignment at a company. As a part of this assignment I need to calculate the moment of inertia (Ixx) of a segment of ...
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