What is Angles: Definition and 907 Discussions

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).

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  1. C

    Maximizing Strength: Smaller Angles in Guy Wires

    Why is a smaller angle better than a larger angle for a guy wire?
  2. J

    What is the Angular Dependence of Electron Scattering?

    hi, here's the problem: imagine a heavy nucleus and an electron approaching it with some momentum pi. it scatters elastically off the nucleus at some angle \theta and momentum pf. the nucleus can be considered to remain at rest, since it is so massive. I have to start with the definition...
  3. K

    Acceleration of Forces at Angles

    A clerk moves a box of cans down an aisle by pulling on a strap attached to the box. The clerk pulls with a force of 176.0 N at an angle of 30.0◦ with the horizontal. The box has a mass of 40.0 kg, and the coefficient of kinetic friction between the box and floor is 0.520. The acceleration...
  4. L

    Proof of a focus point on parabola and tangent line equal angles

    Homework Statement Prove that a vertical line and a line going from a point on a parabola to the focus of the parabola form equal angles with the tangent line of the point on the parabola. Homework Equations Focus = 1/4a (maybe relevant) The Attempt at a Solution I know how to...
  5. N

    Calc Tension of 2 Angles: 590-N Ball Suspended from Cords

    Homework Statement A ball weighing 590-N is shown suspended from a system of cords. What are the tensions in the horizontal and angled cords? http://img207.imageshack.us/img207/2276/4figure39alt.gif T_{50}=___ T_{90}=___ Homework Equations The Attempt at a Solution...
  6. L

    Projectile Que HELP- Finding Launch Angles

    Homework Statement A fire fighter directs a stream of water from a fire hose into the window of a burning building. The window is 20.0 m above the level of the nozzle and 60.0 m away. The hose produces a jet of water at a constant nozzle speed of V0 = 30.0 m/s. The fire fighter can...
  7. daniel_i_l

    Why won't Spaceships at Right Angles Collide in Frame S1?

    In frame S there're two spaceships, s1 and s2. s1 starts at (L,0) with a velocity of (-v,0) and s2 starts at (0,-L) with a velocity of (0,v). Obviously they'll collide in this frame. But let's look at things from a frame traveling with s1 (S1). In S1, s1 has a position of (L/G, 0) and a...
  8. I

    Solving for Angles of Tension Homework

    Homework Statement Three equal weights, two of them connected to the third by individual strings. If the mechanism is in equilibrium, what are the angles of the strings. Homework Equations EFi=maThe Attempt at a Solution T1=W so 2T1=t2 = t1 T1=1/2W So what now?
  9. A

    What is the angle between two vector components?

    Homework Statement A velocity of 10ms^{-1} is to be replaced by two components, 7.0ms^{-1} and 5.0ms^{-1}. What must be the angle between the two components? Homework Equations The Attempt at a Solution Now I think that the answer to the solution lies in using trig to work out...
  10. D

    Calculate the angles in the triangle

    Need some help with this one. Please be detailed and methodic in your understandable explanations because I find this very difficult. http://a.imagehost.org/0288/n_5.jpg
  11. T

    Displacement of angles with different degrees

    Homework Statement Path A is 6.0 km long heading 60.0° north of east. Path B is 6.0 km long in a direction due east. Path C is 3.0 km long heading 315° counterclockwise from east. (a) Graphically add the hiker's displacements in the order A, B, C. Magnitude of displacement: _________...
  12. Hepth

    Point in a rectangle given angles only

    Homework Statement Imagine you're given a rectangle, with lengths LX and LY. Now we place a point somewhere inside this rectangle, we don't know where it is. What we DO know, is the angle between lines from the corners to that point. (such that if it was at the center, and the point a square...
  13. S

    Projection motion on a slope; f angles that will provide the greastest range

    Homework Statement A boy is standing on the peak of a hill (downhill), and throws a rock, at what angle from himself to the horizontal should he throw the rock in order for it to travel the greatest distance. Answer clues: 1. if, the angle from the slope to the horizontal = 60, then the...
  14. D

    Height of an object given angles of depression

    Homework Statement A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be...
  15. P

    Solve Tension and Angles Homework: Find Smallest \theta

    Homework Statement An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope . The rope will break if the tension in it exceeds 2.80×10^4 N, and our hero's mass is 91.0 kg...
  16. H

    Finding initial speed given two angles and a distance

    Homework Statement A child runs down a 11 degree hill and then suddenly jumps upward at a 16degree angle above the horizontal and lands 1.2 m down the hill as measured along the hill What was the child's initial speed? Homework Equations Projectile motion x = Vx*t y = yo + Vyo*t -...
  17. F

    Calculating Total Energy from Combined Rotational Motion of Two Spheres

    Homework Statement I have a sphere on top of another larger fixed sphere. The sphere on top rolls on the fixed one without sliding. The moving sphere is rolling and therefore has an angular velocity, it also moves giving it an angular velocity around the center of the fixed sphere. To calculate...
  18. M

    Sum of the angles in 4D coordinates system

    Case 1 In 2D coordinate system the sum of the angles of all quadrants=360 degree in (x,y) plane Case 2 In 3D coordinate system (x,y,z) I took 3 possible planes i.e. (x,y) (y,z) (x,z) each plane provides angle of 360 degree, so can we say that in 3D coordinate system sum of all...
  19. T

    Find Angles for sin \theta=-0.0135

    Homework Statement Approximate, to the nearest 0.01 radian, all angles \theta in the interval [0,2pi) that satisfy the equation. sin \theta= -0.0135 Homework Equations Inverse sin, reference angle formulas The Attempt at a Solution The inverse sin is -.01, so the...
  20. J

    Refraction using Snell's law - critical angles

    Is it possible for the critical angle to exist when light goes from water (n=1.33) into glass (n=1.5)? I solved this using snell's law. and my answer is no.. because glass has greater refraction index than water. And when you use snell's law and solve for the critical angle, there will be no...
  21. T

    Adding vectors and angles using trig

    Homework Statement 300 lb force is to be resolved into components along a-a(prime) and b-b(prime). a.) Determine the angle by trigonometry knowing that the compnent along line a-a(prime) is to be 240 lb. b.) What is the corresponding value of the component b-b(prime) in the picture...
  22. M

    Oblique + Normal Compression shock and nose cone angles

    Hi there. I'm using the following equations as part of my physics research paper: http://www.grc.nasa.gov/WWW/K-12/airplane/normal.html The initial equation, concerning the half angle of the nose cone of the object, gives me a rather trivial answer at mach 1.5.. a > 0.199 (3sf) Now...
  23. D

    How To Find Sides Of Right Triangle With Known Angles And Area?

    I'm comparing TV and monitor sizes, and I'm trying to figure out the formula that will let me find what size screen will have the same area as another screen (with different aspect ratios). This boils down to a right triangle with all the angles and the area known. Normally I'd find this on...
  24. X

    Calculate angles from axis with a 3d vector

    Homework Statement A vector is given by R(vector) = 1.90 ihat + 1.30 jhat + 2.92 khat. Find the magnitude of the vector Find the angle between the vector and the x, y, and z axis Homework Equations I have read something about dot product but I am not sure if it applies here The Attempt...
  25. Loren Booda

    Trisecting angles in an alternate topology

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  26. S

    Obtaining xy-coordinate linear motion from angles of rotation

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  27. A

    Vectors & Angles: Find Relationship between \alpha & \beta

    Hi, Suppose you have three vectors a, b and c. Say the angle between a and c is given by \alpha, and between b and c by \beta. Can we find a relationship between \alpha and \beta? Thanks in advance,
  28. A

    Projectile Motion: Understanding Launch Angles and Speeds

    Hi everyone, this is my first post on this forum, if in wrong place please fogive. I am currently studying physics looking at the topic of projectiles, working out the maths is not a problem, but in class is not like having real experience out in the world around us, so my question is...
  29. X

    Complicated mechanics resolving forces and angles question

    Homework Statement An object has a weight of 20N. It is supported by three strings to keep it in equilibrium, all attached to a smooth ring on the object. String A has a tension of 15N to the right of the block. String B is (a)degrees away from string A and String C is 90degrees away from...
  30. D

    What is the proof for sin(45+x).sin(45-x) = \frac{1}{2}cos2x?

    Homework Statement Prove that sin(45+x).sin(45-x) = \frac{1}{2}cos2x Homework Equations double angle formulae reduction formulae special angles identities The Attempt at a Solution (sin45.cosx+cos45.sinx)(sin45.cosx-cos45.sinx) =(sin45.cosx-cos45.sinx)2...
  31. B

    Law of Sines and alternate interior angles?

    Homework Statement A ranger in tower A spots a fire at a direction of 321 degrees. A ranger in tower B, located 60 mi at a direction of 47 degrees from tower A, spots the fire at a direction of 279 degrees. How far from tower A is the fire? How far from tower B? Homework Equations...
  32. D

    Can You Calculate Angles from Graph Coordinates and Slopes?

    Hi, Is there a way of calulating the angles from the slope or coordinates of a graph. Say you have a bunch of x and y coordinates and you want to find the angles between those points at various coordinates (say every x,y ratio) can it be done? How would you go about it?
  33. F

    Convert from unit vector to (maybe) special euler angles on a machine tool

    Hello, I am trying to extract the 3 angles from a unit vector to position a part on a 5 axis milling machine: This machine has 3 linear axes (x,y,z), direct coordinate system It has 2 rotary axes: A turns about the x (called 'tilt') C is carried on the A axis (called 'rotary') See...
  34. A

    Finding The Tension force with different angles

    Homework Statement I have done all the physics for this problem which I'll detail below. I am only having trouble in doing the simple math to single out the t1 or t2. A mass is hanging from a ceiling. It is supported by two strings which both are attached above to the ceiling. String 1 is...
  35. D

    Proving that Angles OBC and CDO are Equal in a Parallelogram

    Homework Statement A parallellogram ABCD has an interior point O sucht that \alpha + \beta = 180^o http://img413.imageshack.us/img413/5636/post102741235319763.png Prove that: \angle{OBC}=\angle{CDO} Homework Equations Definitions of a parallellogram. The Attempt...
  36. S

    Statics Two objects with 3 angles

    Homework Statement Ok, Let's see, this problem consists of two (2) cars with a cable of unknown tension between them. The first car has a weight of 2100Kg and is at an angle of 10 degrees from the normal. The second car weighs 1360Kg and is at an angle of 26 degrees from the normal...
  37. V

    Proving Perpendicular Vectors with Direction Angles

    Hello everyone, Thank you in advance for your help! --- Homework Statement 10. A vector \vec{u} with direction angles A1, B1, and Y1, is perpendicular to a vector \vec{v} with direction angles A2, B2, and Y2. Prove that: \cos A1 \cos B2 + \cos B1 \cos B2 + \cos Y1 \cos Y2 = 0. ---...
  38. T

    Tension in two strings and different angles

    Homework Statement In a rescue, the 72.0 police officer is suspended by two cables, as shown in the figure below. Homework Equations T = mgsin(48)? T2 = mgsin(35)? The Attempt at a Solution I used the above equations and it is not right. Me and my friend have been working on...
  39. B

    Calculate force of friction using tension & angles

    Homework Statement A 60 kg crate is being steadily dragged along the floor by a rope, which makes an angle of 70 degress with the horizontal. If the tension in the rope is 20N: What is the force of friction? What is the coefficient of friction? Homework Equations ffr=Ufn ffr=Umgcos0...
  40. S

    Prove parabolas intersect at right angles (polar eq'ns)

    Homework Statement Show that the parabolas r=c/(1+cosθ)and r'=d/(1-cosθ) intersect at right angles. The Attempt at a Solution I found the points of intersection by setting the two equations equal, to which I got: cosθ = (c- d)/(c+d) θ = cos^-1[(c- d)/(c+d)] then i tried to find the...
  41. D

    Statics: two unknown angles and resultant force

    Homework Statement Two forces P and Q with respective magnitudes 100N and 200N are applied to the upper corner of a crate. The sum of the two forces is to the right (+x direction) with a magnitude of 250N. Find the angles that P and Q make with their sum - that is, with the horizontal line...
  42. R

    Finding a triangles angles from its area + 2 sides

    Homework Statement A triangle had area of 21 cm² and two of its sides are 9 cm and 14cm long. Find the possible measures of the angle formed by these sides? Homework Equations Area= 1/2abSin(C) The Attempt at a Solution 1/2 (9)(14)Sin C = 21 --> Sin C = (1/3) approx 19.5...
  43. H

    Can the sum of angles of a planar triangle be greater than 180?

    Can the sum of angles of a planar triangle be greater than 180?? hii i read somewhere that the sum of the angles of a triangle is always a little bit greater than or lesser than 180 degrees? how true is that? thank you
  44. M

    Two forces, two angles; Net force = ?

    Greetings everyone! Thanks in advance for the help! Homework Statement Two parts to the problem. For both parts it asks for the magnitude of the net force and the direction of angle from the X axis. Part A: Two forces, F1 and F2, act on an object at rest at a 90* angle. F1 = 30N, F2 = 11N...
  45. C

    Elimination on velocities and angles

    Homework Statement How do you eliminate this? V3(cos A) + V4(cos 30) = 5 Equation 1 V3(sin A) = -(V4)(sin 30) Equation 2 V3^2 + V4^2 = 25 Equation 3 Homework Equations The Attempt at a Solution I let x= V3 ; y=V4...
  46. F

    Vectors Magnitudes and Angles (Respect to the X Axis)

    Homework Statement a) If Vx = 18.00 units and Vy = -15.50 units, determine the magnitude of V. b) Determine the angle of V with respect to the x-axis. Homework Equations The Attempt at a Solution Yeah, Part B is pretty much the only one I don't get . a) Answer is 23.75 b)...
  47. N

    Exploring the Relationship Between Incline Angles and Speed of a Rolling Ball

    [RESOLVED] Speed in relation to angles Homework Statement You leave a ball roll down 3 different inclined plans with the same height. They each have 30, 45 & 60 degrees of incline respectively. Compare the sped of each of these plans Height = constant, doesn't change Angles of plans =...
  48. S

    Find Bond Angles: Step-by-Step Guide

  49. 3

    Forces in Equilibrium-Tension Forces at Different Angles

    Homework Statement Gravity pulls the sign with 490N. Determine the tension in the cables. Shown as in this picture: http://img380.imageshack.us/img380/9891/forcesinequilibriumpf0.jpg Homework Equations I am not sure. The Attempt at a Solution I do not fully understand what I...
  50. A

    Impulse on ball involving angles

    1. A ball of mass 0.40kg is moving to the left at a velocity v0=-20 m/s. It is kicked and given a velocity, at 45 degrees upwards to the right, of vf30[/sub] m/s. 1) Find the impulse of the force 2) Find the average force The collision time is 0.010s 2. I = (delta) P I = F...
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