Questions tagged [geometry]

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How to find the image of an object in case of a tilted spherical mirror?

Problem A lens is used to obtain real image of a point(/small object) at $(75,0)$. This acts as the virtual object for a convex mirror of radius of curvature $100cm$ placed at $(50,0)$ tilted at $30°$ ...
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Warehouse aisles and ramp requirements for pallet hand trucks

Are there any regulations for warehouses that define maximum slope and minimum aisle lengths for moving pallets with hydraulic, manual pallet jacks? Given a ramp that was designed for wheelchairs, I'm ...
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What is the formula to define the flexural strength of an upright cylinder?

I have been making cylindrical concrete coasters and, for fun, have been seeing if my friend's can snap them. Every subsequent mix design I'll change the mix itself or the dimensions of the geometry ...
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Identify pairs of points of constant distance between them, placed on two moving (rotating) rectangles

Let there be two squares (or rectangles, but say its squares for simplicity). These squares are attached to an axis (bellow, marked red) around which they can rotate. For simplicity, let's say they ...
56 views

1 vote
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5 balanced masses on wheel with different distances between them

I'm looking for a way to calculate possible balanced positions of 5 equal masses on the circumference of a spinning wheel such that the distance along the circumference between the masses are all ...
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height of partly filled tank

I want to derive an expression for the fill level of a water tank with the shape of like a rectangular frustum, similar to the one in the picture: I know the values: $a_1$,$a_2$, $b_1$, $b_2$ and the ...
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How to calculate velocity east, north up having lat/lng/alt/time?

I have a certain values from a camera and wondering how the velocity east, north and up is calculated. Here are the values ...
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What is the most structurally supportive 3D Tessellation? The sort of thing you'd use to build chambers for an underground mansion

Hexagons are considered the strongest grid pattern, I believe, and that's why bees use them? They're an efficient use of space, with maximal structural integrity. I was wondering what a 3-dimensional ...
1 vote
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What are some interesting applications of G2/G3 Continuity? [closed]

I've heard of CNC tool paths using splines to approximate G2 continuity to create smoother motion. Also, rollercoaster designs use G2 continuity to reduce shock from sudden changes in curve radius ...
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How do I calculate the angle of the handrail transition if both need to be set at 33 degrees around a 90 degree corner?

How do I calculate the angle of the handrail transition if both need to be set at 33 degrees around a 90 degree corner?
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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 ...
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Is there a geometry that meshes exactly with a rope?

I'm in a use case where the outer surface is a gear driven by a motor (that's the easy part) and the inner surface meshes with a metallic (iron) rope. When the part rotates, I want the motor and ...
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At what steepness does a vehicle start rolling?

At what exact gradient does a typical vehicle in the following classes start to roll away when the brakes are released and the transmission is in neutral? I'm trying to design a super-safe parking lot/...
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Maximum Slope of Truck Parking Lot

What is the maximum grade/gradient allowed for non-temporary (overnight or longer) parking/vehicle storage areas in parking lots for heavy-duty vehicles such as semi-trucks and buses? All I could find ...
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Figuring out Geometry for Kreg 720

I'm making pocket holes to connect wood together with a jig, the Kreg 720. The 720 works by moving at an angle (which I'm trying to measure) to ensure the hole is drilled higher on thicker pieces. The ...
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Help with engineering graphics

Please redirect me if this is the wrong place to post this, however I've been having issues with something for engineering graphics classes and need some help I'm supposed to draw two intersecting ...
1 vote
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How do I calculate surface area of dashboard through integration?

How can I calculate surface area of dashboard through integration. I traced the surface using pencil. I can calculate rough area but I want to calculate actual area through integration. The vertical ...
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Why is the area of upstream face of control volume a stated?

I cannot seem to visualise why the area of the upstream face of control volume is 2pir∂r, can someone pls clarify on why is this the case?
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1 vote
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Does anybody know where this calculation for the mass moment of inertia for an eighth of a circle comes from?

These attached photos describe flaps which are a portion of a circle and equations are attached as the mass moment of inertia, but there are no descriptions. I am using this for part of my research, ...
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horizontal angle of view based on distance from window [closed]

I am looking for an equation to provide me the angle of view based on a distance from a window. I'm only interested in the horizontal not the vertical.
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How to calculate miter angles for an angled stretcher

See the image below: When I lay this out in Fusion, I can get the angles but I can't figure out how to calculate it mathematically. The goal is to have the angled stretcher fully contact the upper 45&...
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How to trace a square with a reuleaux triangle

I am trying to trace a square (with rounded corners) using a reuleaux triangle and a single (circular rotation) motor. I've seen many animations (example) of this but do not understand how to make it. ...
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Is a pyramid considered axisymmetric? Why so?

I read a source, I will not reference the source on this platform. They stated a pyramid is axisymmetric. Can you explain why if yes?
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When calculating a car's suspension caster, after turning the steering wheel 20 degrees, why multiply by 1.5?

To calculate caster of one side of a vehicle, the steering wheel is turned 20 degrees to the left, and the camber is obtained; this represents the 'in' value of the front right tire. Then the steering ...
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How to calculate meters per pixel for a given camera?

I am stuck on this problem for a while: I have a square-shaped camera, with: 1000 pixels on vertical side 1000 pixels on horizontal side I want to know the number of meters per pixel depending of ...
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1 vote
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How could I get the coordinates of the circumscribed circle giving the 3 points coords?

I have the coordinates of 3 points thrgouh which, a circle should pass . Having the coordinates of the points in 3D, how could I have the coordinates of the center of circumscribed circle ? also : if ...
36 views

Program for creating a cylinder given its axis, center and radius?

I have data with the following normalized values: Unit vector for cylinder axis: -0.00270666, -0.01226211, 0.9999212 Normalized coordinates for cylinder center 0.01412114, 0.01074875, 0.00017004 ...
1 vote
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Arc subtended by stretching of a conical spiral spring

I'm trying to work out the angle subtended by the stretching of a conical spring and I have a solution but I'm not 100% sure about it so would appreciate some feedback. An Archimedes spiral spring is ...
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1 vote
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Calculating area moment of inertia for a beam with underslung plate?

In a number of designs, a beam will have an underslung welded plate attached, as shown below: In this sketch, a symmetrical standard steel beam/column of dimensions H1 x B1, with web and flange ...
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Calculate area of mesh?

I have expanded steel mesh that I use to make garden cages: I would like to know how much sunlight the mesh blocks. I think I need to calculate the area that the mesh takes up (per square inch) and ...
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1 vote
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Equation used to obtain the adjustment angle of a pivoting lid support mechanism?

The following image shows a CAD model in its folded and unfolded form. I was able to successfully give it the ability for it to be adjusted between a 25 and 45 degree form, at 5 degree increments; ...
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1 vote
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Building a half-arch of a specific height, while consistently using an angle divisible by 90

I am trying to construct a lift handle in the CAD Sketchup. The circled part of the image shows the arch I'm referring to. The program, Sketchup, has a 'tool' called push/pull, and another tool ...
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Wrap a geodesic dome with a poly sheet: Minimize overlap & loose areas

I want to make a geodesic dome greenhouse (16ft wide, type: 3V 5/8). Source: http://geodesicdomes.ca/wp-content/uploads/2009/12/domes-fullsize.jpg I would cover a geodesic dome frame with clear ...
• 399
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Difference in Diameter calculation using Solidworks and manually

When I try to create a flat form of a archimedes screw using Solidworks it gives me a diameter different from what is calculated manually basically using a Pythagoras Theorem. Can anyone explain the ...
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What makes scooters unstable at high speeds?

Scooters and skateboards are obviously meant for slower speeds, below 5 MPH. Typically if you go faster than that, it becomes harder and harder to control the scooter, and you will fall off. An ...
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Boolean Geometry Help [closed]

I just don't get the concept of Boolean Geometry... Can you help me understand how to solve these homework problems? Thanks!
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How to find the nearest locations around a given latitude and longitude point? [closed]

I have a database of locations. Each location is a latitude and longitude pair. Now for each query, I want to get top "X" nearest locations around a given latitude longitude point. How do I actually ...
201 views

Calculate attitude quaternion from 2 vector measurements

I am using a method proposed by R. G. Reynolds to estimate attitude based on two vector measurements, taken from: https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19990052720.pdf Suppose we ...