0
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0answers
20 views

In need of formula: Gravity at Specific Coordinates [on hold]

Doing Research on the gravitational pull at a specific set of coordinates. Does anyone know how to solve this mathematically? Please Help. Thanks
2
votes
0answers
20 views

Launch angle required to hit coordinate (x,y) with air resistance

Finding Angle of Elevation to hit X, Y and Wikipedia Angle required to hit coordinate work, but don't calculate air resistance. Is there a way to find the launch angle of a projectile required to hit ...
0
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0answers
9 views

Rotation of an object's acceleration

I want to track things that can rotate using acceleration. The visual involves overlaying two graphs rotated at different angles. This is needed because the accelerometer also rotates with the ...
0
votes
1answer
50 views

Trigonometry in projectile motion

I initially posted this question on Physics SE but got no responses probably because it's more related to maths than physics. A plane surface makes an angle $\bf X$ with the horizontal. From the ...
0
votes
1answer
37 views

Triangulation in delayed loudspeaker setup

I could use some help with the following situation. Two physically displaced speakers need to arrive on time, in order to achieve summation, for a given position (green dot) within a listening plane ...
1
vote
2answers
33 views

Calculating appearance of size of object at given distance

Here's the problem I'd like to solve. If I'm 1 ft away from a computer screen and a word on the screen appears a certain size, is there an equation or calculation that will tell me how big that ...
1
vote
1answer
68 views

Why does this get the angle of the surface?

I have this (physics) question, but am missing something as to why the math works for it. The problem is as follows: A 4- kg sphere rests on t he smooth parabolic surface. Determine the normal ...
1
vote
3answers
113 views

Moments at which moving points on a circle coincide

Points A $(0,1)$ and B $(1,0)$ start moving along the circumference of a unit circle with center $(0,0)$ in the same, positive (that is, counterclockwise) direction. Every minute, points A and B ...
0
votes
1answer
63 views

Physics related Math Question about projectile motion.

Ok, if I am given an initial position (at the origin) and the final position coordinates $(x,y)$ as well as the initial velocity magnitude $V_0$. How do I find the correct initial angle that $V_0$ ...
1
vote
1answer
60 views

Starting velocity by distance, time, and friction

I am writing a game in Javascript, and I just got a big math problem, where $\text{friction} = 0.97$. This is what is being looped every $1000$ / $60$ milliseconds, to make the projectile move all ...
0
votes
1answer
236 views

Physics Vector Problem - Airplane

Heres the question: A plane leaves the airport in Galisto and flies $140$km at $68.0^∘$ east of north and then changes direction to fly $255$km at $48.0^∘$ south of east, after which it makes an ...
2
votes
1answer
49 views

Angle that car is at after angular acceleration

A car starts from rest on a curve with a radius of $150m$ and tangential acceleration of $\displaystyle 1.5\frac{m}{s^2}$. Through what angle will the car have traveled when the magnitude of its ...
19
votes
2answers
3k views

Perfectly centered break of a perfectly aligned pool ball rack

This question is asked on Physics SE and MathOverflow by somebody else. I don't think it belongs there, but rather here (for reasons given there in my comments there; edit: now self-removed). ...
1
vote
1answer
47 views

Averaging cosine with a randomly varying argument

Suppose I have a function $y(t)=\cos (\delta(t))$. Here $y(t)$ and $\delta (t)$ are single valued functions but not necessarily continuous or differentiable. The function $\delta(t)$ is a "random ...
0
votes
1answer
47 views

(Physics) Finding velocity with angle and speed

Hi all, I'm very sorry if this is the wrong place to post a physics problem, but considering it's all maths I was hoping someone could help me. It's been a long time since I did maths on this or a ...
0
votes
0answers
59 views

Solving physics problems using real and imaginary numbers

I was working on a particular physics problem and like we usually in physics do - replaced $\cos(x)$ with $e^{ix}$ and worked the result. When I tried to solve it without complex numbers I stuck. In ...
0
votes
1answer
69 views

Representing a function as a real part of a complex variable?

To represent a simple sinusoidally varying function $V(t)$ let us use $V(t)=Re(\hat V e^{i\omega t})$ where $\hat V$ can be a complex constant.Let $\hat V =-iV_o$ Therefore, $V(t)=V_o \sin(\omega t)$. ...
1
vote
1answer
209 views

Determining the minimum angle of a baseball trajectory to get a home run

This is a homework question: The skydome in Toronto has a center field fence that is 10 feet high and 400 feet from home plate. A ball is hit 3 feet above the ground with an initial velocity of ...
0
votes
1answer
62 views

Rewrite an expression? (Oscillations/trig)

I have the expression $A\cos(wt) + B\sin(wt)$ and I need to write it in the form $r\sin(wt - \theta)$. I know how to do this for the cosine form (i.e., $R\cos(wt - \delta)$, but I'm not sure how to ...
1
vote
3answers
552 views

Velocity vectors and trigonometry

I am trying to learn about velocity vectors but this word problem is confusing me. A boat is going 20 mph north east, the velocity u of the boat is the durection of the boats motion, and length is ...
1
vote
1answer
237 views

Higher Derivatives of trigonometric functions

The position of a particle is given by $s = 5 \cos (2t+ (\pi/4))$ at time $t$ . What are the maximum values of the displacement,the velocity,and the acceleration? The answers are displacement: $5$ ...
17
votes
2answers
381 views

Angular distribution of lines passing through two squares.

Let's say I've got two squares with side length $d$ that are held parallel at a distance $m$ apart. Suppose that particles are randomly falling from above in such a way that the polar angle ...
1
vote
1answer
703 views

A Ferris wheel has a radius of 20 m. Passengers get on halfway up on the right side.

A Ferris wheel has a radius of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the Ferris wheel is 2 m off the ground. It rotates ...
1
vote
2answers
14k views

Can you find the resultant force between these two vectors?

Determine the magnitude of the resultant force on an object if force $A$ is pulling the object with $150$ lbs of force and force $B$ is pulling with $300$ lbs, and the angle between the two forces is ...
0
votes
1answer
291 views

Calculating the angular velocity

I have an inverted pendulum with a accelerometer mounted on the top that at rest gives me a vector up opposite to gravity, which is used to calculate the angle of the pendulum. Is it possible to ...
3
votes
1answer
1k views

How is the formula for the focal point of a ball lens derived?

How can the focal point of a ball lens be found?
1
vote
2answers
29 views

Trigonometry in the DE

Just a simple undergrad physics student asking them mathematicians. I have a very simple 2nd order homogeneous DE of the form: $$y''=-a^2y$$ So, a solution will be of the form $$y(t)=c_1 ...
1
vote
1answer
2k views

Phi vs Theta referring to angles of vectors

Even though this question arises from doing simple vector math from a physics textbook I figured it's much more general than that application. The problem is as follows: A spelunker is surveying a ...
1
vote
1answer
188 views

How to calculate the position of a turning object, based on its rotation?

I'm working on a program that periodically updates the position of an object. The object is able to move in straight lines, as well as turn gradually. In order to check that my object is turning ...
6
votes
0answers
221 views

Integral of a gaussian function of trigonometric functions

I need help with the analytical solution of this integral: ...
1
vote
0answers
58 views

Simple equation misunderstanding

Im trying to use an equation on this page http://en.wikipedia.org/wiki/Bicycle_and_motorcycle_dynamics The angle of lean, $\theta$, can easily be calculated using the laws of circular motion $$ ...
2
votes
1answer
776 views

How to simultaneously solving trig equations?

I was doing some math work, and have to solve two trig equations simultaneously, but have no idea how to approach this, can anyone help, just need to be pointed in the right direction. I have to ...
1
vote
1answer
69 views

How $v=(-\sin\frac{\alpha}{2}\sin\frac{\beta}{2},\cos\frac{\alpha}{2}\sin\frac{\beta}{2},\sin\frac{\alpha}{2}\cos\frac{\beta}{2})$ is derived from…

In the book Quarternion and Rotation Sequences, I can't seem to work out how the final equation (colored in $\color{red}{red}$) is derived from the original equation (colored in $\color{blue}{blue}$). ...
8
votes
1answer
522 views

Does apparent retrograde motion of planets begin and end at quadrature?

I've read it several places that the apparent retrograde motion of planets (during which they seem, as viewed from Earth, to move in the opposite sense of their normal "direct" orbital motion against ...
-1
votes
1answer
136 views

Function whose graph resembles the shape in this image

What is the function whose graph would resemble the shape found in the image below? I looked this up on Wikipedia, tried making my own, but I can't find an equation the Electromagnetic Spectrum. I ...
1
vote
3answers
423 views

Projectile Motion

Hello Stack Exchangers! I'm developing a video game. One feature requires an archer be able to target an enemy and shoot an arrow at it. I've looked around and found plenty of guides on how to do ...
0
votes
1answer
196 views

Acceleration along a 2D plane

It's been a long time since I've done trig, and I never new it very well. I have a problem I don't know how to solve. I have an object on a 2D plane that I want to move. I have this objects x and y ...
1
vote
2answers
533 views

Homework help with projectile motion

I would please like help on the following question related to projectile motion. A horizontal drainpipe 6 metres above sea level empties stormwater into the sea. If the water comes out ...
0
votes
1answer
349 views

Simple harmonic motion and trigonometry

Here's the question I would like help with: A particle is moving in simple harmonic motion according to $x=6\sin \left (2t+\frac{\pi }{2} \right )$. Find the first two times when the velocity ...
1
vote
1answer
207 views

Simple Harmonic Motion with trigonometry

I need some help with my high school maths question: A particle is moving in simple harmonic motion has speed 12m/s at the origin. Find the displacement-time equation if it is known that for positive ...
2
votes
2answers
215 views

Trigonometry in Simple Harmonic Motion

In one of my high school maths questions the example given to find the maximum displacement of a Simple Harmonic Motion where $ x=2+4\cos \left (2t + \frac{\pi}{3} \right ) $ and the motion lies in ...
1
vote
1answer
88 views

The Law of Sines and a second forces magnitude

How do you solve for the second forces magnitude? The 17' and 30' threw me off.
0
votes
2answers
2k views

Velocity, Radius and Angular Speed - Finding Units

I have been trying to figure this one out for two days, and I really have no idea what to do. To begin with, I need to know what units will be produced in the following situations: Velocity's ...
3
votes
1answer
1k views

Finding force for trajectory

Using the trajectory equations provided on hyperphysics, I have developed some code to plot the trajectory of an object. I now need to work out the x and y forces to apply to make the object follow ...
0
votes
1answer
195 views

Solution for following trigonometric equation?

I have the following trigonometric equation in $\theta$: $$0=G_{\omega}(1/r^2)({\csc^2}\theta){(r\cos\theta-x)}^2+(\cot\theta)(r\cos\theta-x)+r\sin\theta-y.$$ Is there an analytical solution for ...
2
votes
1answer
185 views

Finding Angle of Elevation to hit X, Y

My ultimate goal is to find the angle of elevation necessary to launch a projectile from the origin to (x,y) with initial velocity V and under gravitational acceleration g. Wind resistance is ignored. ...
1
vote
1answer
66 views

find point of object in the future given direction and velocity

I have a point A, and another point B. I know the distance from point A to B. I also know the velocity with which B is moving and its direction. I also know the angle of B with respect to A. I would ...
0
votes
2answers
107 views

Touch up on Trig

I have forgotten a few things about trigonometry and angles. I have this trig equation, $\sin \theta = \frac{200\text{ dyn}}{224\text{ dyn}}$ What exactly are the steps of getting the angle, ...
3
votes
2answers
404 views

Diffraction and Computer Generated Holography Calculations

I've tried this through Mathematica, and hit my own limit in math ability trying to do this, both to no avail. I'm assuming there is no way to do so, as a simple solution to this problem would be a ...
3
votes
1answer
895 views

How to find angle of motion in frictionless space based on vx and vy

This might, perhaps, be more suited to Stack Overflow or the Gaming section, but since it's math that is above my head, I thought I'd come straight here for it. I'm making a space game. So far I ...