Angles Definition and 892 Threads

[SOLVED] Cyclic Sequence of Angles Fix an angle \theta. Let n be a positive integer and define \theta_n = n\theta \bmod 2\pi. The sequence \theta_1, \theta_2, \ldots is cyclic if if it starts repeating itself at some point, i.e. the sequence has the form \theta_1, \ldots, \theta_k, \theta_1...

Homework Statement In the problem sin-1 is 59.1. I have to give it from the positive x axis. Homework Equations The Attempt at a Solution Would it be 360-59.1? or 180-59.1? Thank you very much

[SOLVED] Angles and forces/normal force... 1. A car coasts (engine off) up a 30 degree grade. If the speed of the car is 25 m/s at the bottom of the grade, what is the distance traveled by the car before it comes to rest? 2. Umm...I have no idea what equations are used in this problem. I...

[SOLVED] Force problem, need help Homework Statement Consider the 605 N weight held by two cables. The left-hand cable had tension 450 N and makes an angle of θ2 with the ceiling. The right-hand cable had tension 470 N and makes an angle of θ1 with the ceiling. What are the angles θ1 and θ2...

Can someone explain "Euler" angles? From what I read, "Euler" rotations are composed out of matrices like * * 0 1 0 0 * * 0 * * 0 0 * * * * 0 0 0 1 0 * * 0 0 1 which is pretty distinctive in that they rotate around same axis twice, and makes sense for devices like this...

I have a beam suspended by two cables with two weights suspended by the beam. The weight of the beam is negligible. How would I find the resting angles of the cables.

Homework Statement The index of Refraction for a diamond for red light, 656 nm, is 2.410, while that for blue light, 434 nm, is 2.450. Suppose white light is incident on the diamond at 30.0 Degrees. Find the angles of refraction for these two colors. Homework Equations sinr/sini = n2/n1 =...

\tan^2{(1^\circ)}+\tan^2{(3^\circ)}+\tan^2{(5^\circ)}+\ldots+\tan^2{(89^\circ)}

does anybody know formula for finding angle of refraction with given angles of incidence in the medium and the angle of refraction?

Please help me understand better A person in space is moving in a flying saucer along the x-direction at (3/4)*c relative to Mars, shoots a laser pulse to another observer. The laser barrel gun makes 60o with the x-direction in the rest frame of the spaceship. At what angle, according...

Proof of parallelogram theorem "If 2 pairs of opposite angles congruent, then par..." I was just wondering, why exactly does "If 2 pairs of opposite angles congruent" prove that a quadrilateral is a parallelogram? Does it have something to do with the fact that the sum of the interiors equals...

Howdy Eevrybody! I'm starting research into an idea that struck me rather suddenly (but with no lasting injuries), while reading Shakespeare's Henry V. At the battle of Agingcourt, the English had the advantage of a standoff weapon, the Welsh longbow. I fell to wondering whether they might...

i have an orientation of a 3d object in space given by theeta, si and phi i.e. angles which the objects makes with respect to three axis. Now i want to translate the problem such that i get an arbitrary axis rotation about which to some calculated degrees would produce same orientation...

CF4 is it 109.5 degrees for the angle NH3 109.5 degrees for this angle SO4^2- 109.5 for this angle NH4+ 109.5 degrees for this angle H2S 180 degrees for this angle PO4^3- 109.5 degrees for this angle HCl 180 degrees for this angle NF3 190.5 SiH4 190.5 BF3 190.5 C2H6 190.5 C2H4...

Trig - Double Angles Questions, Please Help! please close, solved all my problems myself...

Homework Statement A crane with jib AB, 7m long. Centre of gravity 3m from A, inclined at 30 degrees to the vertical. The horizontal tie is attached at C, 5m from A. If the mass of the jib is 200kg and the load at B is 600kg, what is the tension in the tie...

i want the formula of Angles Between crystal Planes by knowning the information of Miller Indices of that planes? please help me

Hi all, This is a weird question, I want to measure angles in terms of 360 degrees and not 180. The two lines will share a common point such that Line A ends at the point where Line B begins. In order to do this don't you need to define some sort of "standard" so that you can know...

Homework Statement A mountain climber is rappelling down a vertical wall (the figure below ). The rope attaches to a buckle strapped to the climber's waist 15 cm to the right of his center of gravity. If the climber weighs 770 N, find (a) the tension in the rope and (b) the magnitude and...

Homework Statement angles of 30, 45, 60. calculate weight of block, the normal force, and net force for each angle separately. Homework Equations normal force m*g*sin theta net force m*g*cos theta The Attempt at a Solution weight of block is just 20 kg, right? and so for 30...

did i set up my force diagram right? my teacher gave us soln's but i think there's an error. also, could i get advice on how to approach determining how to place the angles correctly in the diagram, I'm blind. thanks! http://img136.imageshack.us/img136/5711/angleqg6.jpg

I have a hyperbola with the following equation and I am trying to find my angles to eventually rotate this (conic section), but I don't know what to do because when I follow the standard form of (A-C)/B, I get zero. Is there some trick that I don't know about. x^2+4xy+y^2=12

Homework Statement What is the y-component of a vector in the x-y plane whose magnitude is 86.4 and whose x-component is 62.3? 59.9 Homework Equations a^2 + b^2 = c^2 Sin-1= Vy/|v| The Attempt at a Solution a^2 + b^2 = c^2 And 59.9 was right for that, but i used Sin-1= Vy/|v|...

Hi. Could someone please tell me the method to use to simplify cosBcosB + sinBsinB? Any help would be really appreciated. Thank you. Cathy

Hi all, I'm trying to 'add' two angles in 3D spherical coords. The problem is easy enough in 2D polar coords. You just add Angle A to Angle B (both in the Z plane of course). However, there doesn't seem to be an easy 3D equivalent. Let's use this example: Point A is: Rot x: 0 (degrees)...

Homework Statement A frame hung against a wall is suspended by two wires attached to its upper corners. If the two wires make the same angle with the vertical, what must this angle be if the tension in each wire is equal to 0.75 of the weight of the frame? (Neglect any friction between the...

Homework Statement A dolphin wants to swim directly back to its home bay, which is 0.79 km due west. It can swim at a speed of 4.14 m/s relative to the water, but a uniform water current flows with speed 2.93 m/s in the southeast direction. (a) What direction should the dolphin head...

I'd just like to say that even lurking this forum is a great help to users. (: Homework Statement http://img260.imageshack.us/img260/5679/scan001001cz9.jpg Homework Equations I'm assuming, since this is all I've had to work with for weeks, trig. relationships such as: SIN, COS, TAN and...

Homework Statement An underwater diver sees the sun 50 degrees above horizontal. How high is the sun above the horizon to a fisherman in a boat above the diver? Homework Equations n΄sinθ΄ = n¹sinθ¹ or, if that is confusing, n1sinθ1 = n2sinθ2 The Attempt at a Solution I...

Homework Statement A 1.0-cm-thick layer of water stands on a horizontal slab of glass. A light ray in the air is incident on the water 60 degrees from the normal. What is the ray's direction of travel in the glass? Homework Equations n΄sinθ΄ = n¹sinθ¹ or, if that is confusing, n1sinθ1 =...

Homework Statement How do I find, sin\left(\alpha - \beta + \gamma\right) = ? Homework Equations sin\left(\alpha\pm\beta\right) = sin\alpha{\textcolor[rgb]{1.00,1.00,1.00}{.}}cos\beta \pm cos\alpha{\textcolor[rgb]{1.00,1.00,1.00}{.}}sin\beta and...

Homework Statement The drawing shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface 1 has an area of 1.2 m², while surface 2 has an area of 3.5 m². The electric field E in the drawing is uniform and has a magnitude of 246 N/C. Image...

Homework Statement What I'm scratching my head with is trying to find mechanically, a way of finding all the solutions of the expression sin(a \theta ) - sin(b \theta) = 0 (where a and b are integers (for now) with a > b) Homework Equations I can get the roots that are regular rotations...

Homework Statement 1) If the point (-4, 2) lies on the terminal arm of an angle θ in standard position, determine the exact value of csc θ. 2) If sec θ = -5/3 and angle θ terminates in quadrant III, which point must be on the terminal side of θ? 3) If cos θ = 5/13, where θ is in quadrant VI...

I've already posted this question in the math section, but since I got no reply I'll try it here (sorry for the cross-posting). I'm using solid angles to define directions of objects moving from the centre of the sphere towards all points in the space around, which means I divides the (4pi)...

A triangle has an angle A=35 degrees and an angle B=40 degress and side a=3680 meters. What are the lengths of sides b&c?

Homework Statement A climber is suspended between two cliffs and is closer to the left cliff. The left part of the rope makes an angle of 65 to the cliff and the right part an angle of 80 to the cliff. The climber weighs 535N. Homework Equations Trigonometry... The Attempt at...

Homework Statement A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a speed of 34 m/s, the block hangs vertically down. But when the van maintains this same speed around an unbanked curve (radius = 120 m), the block swings toward the outside of the...

A two-point source operates at a frequency of 1.0Hz to produce an interference pattern in a ripple tank. The sources are 2.5cm apart and the wavelength of the waves is 1.2 cm. Calculate the angles at which the nodal lines in the pattern are located far from the sources. (assume the angles...

For a polygon with n sides, the sum of the interior angles is 180n - 360. If we find n positive numbers that sum up to 180n - 360, does that necessarily mean these numbers can be represented as the inside angles of a polygon with n sides? I can't prove this right or wrong...

Homework Statement 1) For l=3, find the possible angles that the orbital angular momentum vector(L) makes with the z axis? Here the magnetic field acts along the z axis. l is the orbital quantum number. Homework Equations The Attempt at a Solution I solved it in the following...

Homework Statement A 5.4kg hawk flying swoops down at 65 degrees to the horizontal at 18m/s. The hawk grabs a pigeon flying 14 m/s horizontally. The pidgeon weighs 1.2kg. After the collision, what is the speed of the hawk (with the pidgeon) and at what angle to the horizontal is it now...

Homework Statement 1. A sled is pulled at a constant velocity across a horizontal snow surface. If a force of 8.0 x 10^1 N is being applied to the sled rope at an angle of 53 degrees to the ground, what is the force of friction between the sled and the snow? A. 83 N B. 64 N C. 48 N D...

Here's the free-body diagram of a stupid physics problem I had: http://img211.imageshack.us/img211/5081/triangleey9.png When going over this problem both my book and my lecturer say that \alpha = \theta (they actually don't even mention \alpha; they just write it as \theta to begin with. I...

I have to find a solution to this problem until next week, so perhaps someone can help: There is a constant polygon with 2007 angles. Put the natural numbers 1,2,.. 4014 on each angle and the center of each side of the polygon, so that the amount of the 3 numbers (angle + center + corner)...

Simple question. Are reference angles always positive??

You do 457.2 J of work to move a 4.2 kg chair 9.49 m across the floor at a constant velocity by pushing down on the back of the chair at some angle. If the coefficient of kinetic friction between the chair and the floor is 0.75, what is the angle (relative to the floor) at which you are pushing...

Homework Statement Calculate the magnitude of the field strength at point P as shown. The distance between the centers of the 1.5E-6 C and the 9.2E-6 C charges is 5.6 cm.. Homework Equations E = kq/r^2 E = F/Q E = V/d The Attempt at a Solution Used tan and sin of 50 to find all...

Hello folks! So, I'm working on a java applet where I want to rotate an object to point in the direction that it is moving. I have its velocity stored as a 3D vector (x,y,z) and I am using a 3D library that allows for rotation on any axis (x,y, or z). It's my understanding that I need to...

I have a problem that I have no way of solving on my own. I would like to know how to move a 3-dimensional object long the surface of a 3-D sphere and have it move in the direction it is facing, relative to the surface. Can someone please help me? I am not very good at math but am trying. What I...