# Questions tagged [mathematics]

For engineering questions involving mathematics. For pure mathematics problems, please visit our sister site Mathematics Stack Exchange.

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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 ...
27 views

### 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?
21 views

### 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 ...
82 views

### 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 ...
1 vote
95 views

### 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 ...
39 views

### Iterative Method through FEM

Due to reasons, I can not fully describe the process explicitly so I will be using substitutes to represent the variables. Nomenclature: x - an independent variable y - another independent variable Fz ...
23 views

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 ...
18 views

### Drone Geometrical Shape

Drone Can Drones be designed with geometrical shapes viz Kite, Cylinder, Sphere etc?
12 views

### 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 ...
32 views

### 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 ...
145 views

### 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 ...
22 views

### How to solve this thermal equilibrium

I was studying and came across a problem that I'm not sure how to solve. In fact, I think it gives me 1 degree of freedom. In the problem, I am asked to calculate the time and temperature required to ...
1 vote
60 views

### Matrix Calculation

I would like to Calculate Q. The transpose of U matrix is a 2x5 matrix and U is a 5x2 matrix. Therefore, I was expecting a 5*5 Matrix, which wasn't the case. Can someone please help me to solve Q ...
31 views

### Convert Azimuth and Elevation to X & Y angles

I’m trying to control a 2 axis solar tracker using a microcontroller with an internal IMU. I can calculate sun azimuth and elevation but how do I convert them to X & Y angles that I can compare ...
29 views

### How to re-write systems of two linear second order ODEs in a state space form

I have recently been working on how to convert ODES into state space form, and I came across this problem that has me confused. Should B in the state space be [1; -2] or [1 0; 0 -2]? I think the ...
61 views

### Why is the vector cross product different here?

I was taught that the linear velocity of a body rotating around a fixed axis is the cross product between the angular velocity and the position vector. The vector for the velocity here in this picture ...
50 views

### Calculating forces on cables

I have to calculate the pull forces of Fab and Fac. I have used extended Pythagoras to find the length of AC and AB but I have no idea how to calculate the forces. I also tried to use cartesian ...
91 views

1 vote
65 views

### Should I use the rounded values given on technical drawings or work at the highest reasonable resolution?

In the image, the table of dimensions only gives a resolution of 1mm; in the actual creation of such a sign, would these approximate values be used or their true values (within reason)? For example, R ...
41 views

### Piston that produces equal amounts of swing in a lever?

I am attempting to figure out an equation I've found for designing part of Walschaerts Valve Gear. The specific implementation isn't relevant here, because it's the math I'm after, but this is the ...
155 views

### Path length of a satellite signal

I am trying to work out the length of the Rsv, but I dont understand how to go about this. If the length R is known and the angle EL is known how do I go about solving for this length. I was given ...