The Angles (Old English: Ængle, Engle; Latin: Angli; German: Angeln) were one of the main Germanic peoples who settled in Great Britain in the post-Roman period. They founded several kingdoms of the Heptarchy in Anglo-Saxon England, and their name is the root of the name England ("land of Ængle"). According to Tacitus, writing before their move to Britain, Angles lived alongside Langobards and Semnones in historical regions of Schleswig and Holstein, which are today part of southern Denmark and northern Germany (Schleswig-Holstein).
Homework Statement
A line has direction angles 60°, 45°, 60° and passes through the point
(1, -2, 5). Determine the vector equation of this line.
Homework Equations
I honestly have no clue. My teacher gave a hint it has to do with trig (as in the trig ratios) and the unit vector...
If i have 2 circular objects like coins and their moving on a frictionless surface and i know their velocity angles mass, how can i find the angle of each object after they collide, an example
A is the first coin, B the second their masses are the same. X will be the x of a vector and Y the y...
Homework Statement
A lever is used to lift a box, ignore the mass. the lever makes a 43° angle at the pivot, point A, the length of the lever is 1,8 m, Force P is apply 15° at the end of the lever
Force P causes a moment of 500N.m about point A. Determine the force P?
Homework Equations...
So I'm trying to check the moment of inertia Ix for this weird I beam. The three steel plates' moments of inertia were easy enough to calculate. However, I would appreciate any help on how I should go about calculating the contribution of the four L6x6x1 angles to the total moment of inertia...
Hello, I have attached a diagram of QPSK modulation angles. I was wondering how would the red and yellow dots be interpreted.
Those dots are not exactly on either of the 4 different phase angles. But I understand QPSK has a discrimination of 90 degrees so would the red equate to 45 degrees and...
Pre-requisite: Protractor
Requirement: Both the measurers and the object should be perpendicular to the ground
One-Person Method: Find point A, the point whose vertical distance to the ground you want to measure. If you're measuring the height of an object, this will be the top of the...
Homework Statement
α=30°
β=45°
m=10kg
a=0
Tα=unknown
Tβ=unknown
THE ANSWERS SHOULD BE Ta=72N, Tβ=88N
Homework Equations
mg=10kg*9.8m/s2=98N
∑Fx=ma(x)=0
∑Fy=ma(y)=0
A Free Body Diagram would show three forces: 98N facing downwards, Ta facing 30° up and to the left, and Tb...
Yes, that is my problem. I could never reproduce in computer the scheme I learned in Computer Engineering graduation I am coursing. The way the teachers show and in some books, I never get into that result but I don't know if it is exactly impossible.
At this page in wikipedia...
I am trying to figure out what size eaves we need for our house extension.
I've tried a few calculations and now I'm posting here in the hope that a logical thinker will be able to tell me what I'm doing wrong.
We live in Adelaide, Australia, and we want to put in glass double-doors on a...
Homework Statement
Here is the problem: A variable capacitor has seven armatures in the shape of half-circles with a radius of 2 cm. The armatures have a distance of 1 mm separating them. Find the capacity when the angle θ is: (a) 0 degrees; (b) 45 degrees; (c) 135 degrees.
Homework...
Homework Statement
Two vectors A and B have precisely equal magnitudes. In order for the magnitude of A+B to be 120 times larger than the magnitude of A-B , what must be the angle between them?
Homework Equations
None (i think)
The Attempt at a Solution
A+B=120(A-B)...
Homework Statement
A spider is resting after starting to spin its web. The gravitational force on the spider is 0.165 N on the junction of three strands of silk. The junction is supported by different tension forces in the two strands above it so that the resultant force on the junction...
Hi can anyone help me out with finding the interior angles of a pentagon on a sphere. I know two of the interior angles already and I know all the angles that correspond with the arc lengths of the sides of the pentagon. How do I find the other three interior angles?
Thanks
Cyclopropane is a cycloalkane with three carbon atoms. Each carbon is bonded to two hydrogens as well as the other two carbons, forming a triangular bond between the three carbons.
Each carbon has a tetrahedral molecular geometry since it has sp3 hybrization. However, I am rather confused...
Homework Statement
A meter stick is at rest in the laboratory frame. It lies in the x-y plane, making an angle of 30° with the x-axis. What angle does this meter stick make with the x'-axis of a reference frame moving at V=0.8c in the x-direction.
Laboratory frame is the rest frame...
Homework Statement
We have ##4x+x+y=280^0##(degrees), find ##x##, ##y## and ##4x##.
Homework Equations
##4x+x+y=280^0##
The Attempt at a Solution
##4x+x+y=280^0##
##5x+y = 280^0##
##5x=280^0-y##
##x=\frac{280^0-y}{5}##
##x=56^0-y##
---------------------...
Ok I am a little stuck and really need some help as I am pretty new with physics...im not sure if this question is really simple or if i need a little algebra to help find the answer.
Q : 10 units, 30 degrees counterclockwise from the positive side of the x-axis
:25 units, 45...
Homework Statement
This is the problem:
##a+b=##900 (degrees)
##a=\frac{b}{14}##
Find a and b.
Homework Equations
##a+b=##900 (degrees)
##a=\frac{b}{14}##
The Attempt at a Solution
##a+b=##900
##(\frac{b}{14})+b=##900
##\frac{b + 14b}{14} (14 and 14 get simplified)=## 900...
Hi,
(attachment with visuals is included)
I have a 3-D vector dataset that is measured in a reference frame (measurement reference frame) that is oriented relative to a horizontal coordinate system. In this dataset I have x-y- and z-component data for the vectors relative to a coordinate...
I have two angles:
θ:
and θ_{1}:
θ_{1} = θ
How do I differentiate the two angles? I want to say "leftward facing" and "rightward facing", but I'm not sure how to "mathematically." Note that I must talk about the angle that's between 0-90 degrees.
Thanks,
Ben
Homework Statement
Let
U = e^{iG_{3}\alpha}e^{iG_{2}\beta}e^{iG_{3}\gamma}
where ( \alpha, \beta, \gamma ) are the Eulerian angles. In order that U represent a rotation ( \alpha, \beta, \gamma ) , what are the commutation rules satisfied by the G_{k} ?? Relate G to the angular...
Homework Statement
Find all the unit vectors X element of R^3 that make an angle of pi/4 radians with vector Y = (1,0,1) and an angle of pi/3 radians with vector Z = (0,1,0)
Homework Equations
For any two vectors X and Y element of R^n, the dot-prodict of X and Y is equals to the...
SinX is defined for any angles [0,∞) ?
Homework Statement
SinX is defined for any angles [0,∞)
Homework Equations
Ok, the domain of sinX is -∞< x < ∞
The Attempt at a Solution
Someone said "You are confused due to fact that Sin(-x)= - sin(x)." Does it mean that just because sinX...
I'm not looking for someone to work this one out for me, and I know I have done this type of problem in entry level physics, but it's popped up again in dynamics, and physics is mostly a blur these days.
Given the muzzle velocity and impact coordinates of a rifle, find the angles of elevation...
I have learned a lot of formulas for converting trigonometric values, but when I looked up sin(pi/10) I got the exact answer (1/4)(√5 +1). I tried to arive at this using formulas, but I couldn't. How is this found? What other angles can be found exactly.
Ps. I already know about how taylor...
Can you draw a force diagram to explain how a positive caster angle makes wheels return to a straight line in a shopping kart (as an example), while a negative caster angle would have the opposite effect.
Thx
I have been reading about the normal vector to a point on a surface.
http://mathworld.wolfram.com/NormalVector.html
Can anyone explain if I have normals to 2 points on a surface and I want to compute the inclinations between them, how would one proceed?
What are the advantages to using one system to measure an angle over another. For example why do we measure angular velocity in radians instead of degrees?
Are there any intrinsic advantages to one unit over another?
Thanks
AL
Hi all.
I am trying to learn more on physics, and am at the subject on calculating work done. The formula to calculate work done is Work done = Force * Dislacement * consine(theta).
I am on a question which explains: a 100N force is applied at an angle of 30 degrees to the horizontal to...
1. Homework Statement
I'm choosing an angle for a diffraction grating such that a laser of particular wavelength λ is retroreflected (reflected back along incident path).
2. Homework Equations
If you have a better way than using the equation below, feel free to explain. The book that I'm...
I'm choosing an angle for a diffraction grating such that a particular wavelength λ is retroreflected (reflected back along incident path). The book that I'm looking through treats the blazed diffraction grating as a set of N slits. This results in the equation...
Pretty simple question.
When we draw triangles or other pictures with angles, when do we mark the angles as alpha and when do we mark them as theta?
Is there some kind of convention or is it just whatever is free in the equation?
It makes sense to me to use alpha for the first angle then...
Homework Statement
This is not a homework question, I was just curious.
I'm trying to find the angle θ that an unbalanced arm produces in the following case:
Homework Equations
τ=rF
The Attempt at a Solution
τ1=τ2
rF=rF
r(98 N)(cos θ)=r(49 N)(cos θ)
However, the cos θ...
I have three non-parallel vectors (whose components are known), v0, v1, v2 and I'd like to find a fourth unit vector, v3, given only the angles between:
psi, angle between v0 and v3
theta, angle between v1 and v3
phi, angle between v2 and v3
I know that they are related by the dot product:
v0...
Homework Statement
Two forces act on a 4.00 kg mass which is sitting at rest on a horizontal frictionless surface. One force is 6.50 N directed 55° West of South, the other is 7.00 N directed 25° North of West. What acceleration does the mass receive?
Homework Equations
sin = o/h...
I am stuck on the job; I need to find the angles.
It’s not an angle or side based triangle, just a right triangle. The lengths are known, A-B-C. What I need to know is the angles, a-b-c. So, a=90*, what formula could I use to find b, and c? Sorry, please make it easy enough for me to work it...
Homework Statement
A kayaker needs to paddle north across a 100-m-wide harbor. The tide is going out, creating a tidal current that flows to the east at 2.0 m/s. The kayaker can paddle with a speed of 3.0 m/s.
Homework Equations
v= v + V
Let the Earth frame be S and a frame attached...
The idea of a circle divided into 360 degrees that goes clockwise has been around for thousands of years (see orienteering compasses). So, why do radians and angles in trigonometry go counter-clockwise and start off pointing to the right? Was that on purpose?
I need to find all angles that are greater than 90. To be more precise I need to find the entries that are to the right of the blue line and to the right of the red line. I tried using the the find command in MATLAB to find certain indices but realized that the angle signs change. The blue and...
Homework Statement
A ball of weight 5 Newtons is suspended by two strings as shown above. Determine the magnitude of each of the forces, T1 and T2. (Note: sin 37° = 0.6; cos37° = 0.8)
Homework Equations
T = mg
The Attempt at a Solution
I couldn't go anywhere because I need a...
Say I have an odd shaped rigid body in pure rotation. I fix an orthogonal x-y-z coordinate system to the body, and coincide the origin of this coordinate system to the origin of my global coordinate system X-Y-Z.
I have 3 Eulerian angles (as functions of time) which I can use to describe the...
I'm researching an abstract geometric property and I've discovered the problem depends on showing these two angles are equal for strictly positive x:
arctan(x) - arctan(x^3 +2x -((x^2 + 1)^(3/2)))
and
-arctan(x) + arctan(x^3 +2x + ((x^2 + 1)^(3/2)))
Any help would be greatly...
The manual lathe I work on has a degree scale for the arm. I have the radiuses in mm and the diameters in mm of two zones I have to cut. What formula can I use to determine the angle which delimits the two zones?
For example:
Say I have an item 15mm in diameter. Inner zone A is to have a...
Homework Statement
Can you have a negative angle, or do you just assume absolute numbers?
Your coach tells you to turn south for 10.0m and then turn and run east 15.0m. How far must the ball be thrown from where you started to where you ended?
Homework Equations
a^2 + b^2 = c^2...
Homework Statement
I am having a nightmare doing homework for my physics test. I have figured out part of the answer but can not figure out what the angle of the displacement is and its driving me crazy...
The teacher showed us two methods of how to find the answers, but ended up making...
Hi guys,
I had been wondering for a while why it is that we use the radian as the unit of angular measurement in higher sciences and mathematics (calculus, physics, engineering) as opposed to the degree.
In reviewing the relationship between the degree and radian, I believe that I have...
First, I struggled with whether to put this in advanced or intro physics. I read the sticky, and since this is a 300 level class that is taken at the junior level in the physics BS program at my school, I put it here. If it's considered too simplistic for advanced physics, I apologize.
I've...
Homework Statement
Suppose a mountain is described by the function z = 10x^2 * y − 5x^2 − 4y^2 − x^4 − 2y^4 and that you are standing at the point (1,1,−2). The positive x-axis points east and the positive y- axis points north. If you walk in the northeast direction what angle above the...