Angles Definition and 911 Threads

I am trying to do some calculations that involve cubic Bezier curves. I've been looking all over the place for information about Bezier curves, but I can't find anything that has what I'm looking for. I need to be able to figure out the length of any curve with known control points...

Can someone help me with this problem? I am stuck. So far I have:net Force (x) = T1cos30 - T2cos(θ) = 0 net Force (y) = T1sin30 + T2sin(θ) - 120N - 400N = 0 From equation 1 ---> cosθ = (T1cos30)/T2I attached a picture of the problem. Not...

Hi! I have a question about approximation of functions with small angles. I was looking through some notes from my teacher and didnt understand why the following approximation is valid. We have a system which is at equlibrium at an angle, say a. Now we wanted to se what happens with the...

Homework Statement A rope forms a Y. At the end of the Y hangs a block with a W= 100N Whole the two upper ends are on the walls. (Left side) T{1} with an angle of 90 degrees (Right side) T{2} with an angle of 58 degrees Find the tension of each rope on the wall. Homework Equations No definite...

Homework Statement This question is on my physics homework, I guess it could be posted elsewhere, but I'm not sure where. Here is the problem: Which of the following are the same as 18 degrees below the -x-axis? Choose all that apply: !The choices I selected are in red! A) 72 degrees left...

Homework Statement See attached photo. Find the resultant displacement measured from the starting point. Homework Equations The Attempt at a Solution When it comes to angles, i sometimes get confused when to add 180 or not. FOr the first two distances, we don't have to find...

Not quite sure how central angles ended up in a PreCalc class, but oh well. Okay so, I'm given this picture And this information: A satellite is in orbit 2000 kilometers above the Earth. It is scheduled to pass directly over a tracking station at noon. The satellite takes 2 hours to make...

Hi.. The wikipedia article on euler angles claims that the Euler angles in zxz convention are unique if we constrain the range they are allowed to take (except in the case of the gimbal lock). This seems reasonable. But can someone give me a reference... a book or a paper where this is...

I have multiple robot cells that i would like to move fixtures from robot to robot with the out come of the part to be perfect. in order to do that i need to make sure my work object is in the same spot each time. so i need to find the yaw pitch and roll and convert them into Euler angles. On...

URGENT HELP needed on Displacement Angles Due tomorrow Edit: with the help of second poster, I was able to solve it out. Btw I got 15 meters west and 11.34 meters south for the second one

"obvious" question on angles and solid-angles Hello, I have found in http://www.cg.tuwien.ac.at/hostings/cescg/CESCG97/csebfalvi/node2.html" an important statement about solid angles. Namely, the differential solid angle d\omega is related to an oriented differential surface area dA placed at...

What is the easiest way to see that, in a regular polyhedron, the sum of the face angles about each vertex is less than 2π? This seems elementary, but I truly have very little background in geometry. Preliminary searches on PF and Google/Wikipedia didn't turn up anything substantial aside from...

Homework Statement At one instant ,ships X and y are at a distance of d from each other.THe velocities of ship x and ship y are u and v respectively. Angle a and b are acute. Find the tangent of angle betweeen the direction of relative velocity and \vec{XY} Homework Equations The...

I have a shape with spherical coordinate (r, theta, phi) which I can convert to Cartesian. I want to apply rotation to the shape by incrementing theta & phi. I figured out the matrix for rotating azimuth angle is { {cos(theta), -sin(theta), 0} {sin(theta), cos(theta), 0} { 0, 0, 1} } How...

Hello guys, I'm trying to find an algorithm to solve an overlap problem between many polyhedra in space, so here this question appears. Imagine an Ellipsoid rotated by Euler angles in 3D space. This Ellipsoid could be characterised by its 3 radii Rx,Ry and Rz, and by 3 Euler angles in...

Homework Statement A fire hose held near the ground shoots water at a speed of 6.8m/s. At what angle(s) should the nozzle point in order that the water land 2.0m away? Why are there two different angles? Homework Equations v = v(initial) +at x = x(initial) + v(initial)t + .5at^2...

I'm doing work on polar coordinates in double integrals. Could someone explain why when circles aren't centered on the origin the angle only varies from (if it is translated above the origin) 0 to pi. I thought the angle was supposed to be the angle in the circle, so if its a full circle then 0...

what is the angle between vectors AXB and A+B? 1> 90 degree 2> 180 degree 3> 60 degree 4> none of above

Ive been out of school cause i was sick and am in geometry and got some of my work, its on inscribed angles in circles and since i missed the lecture i have no idea how to do it, I am not asking anyone to explain it to me cause i probly won't understand in words, but if anyone knows any videos...

Homework Statement The Shear modulus for aluminum and copper are 25GPa and 35GPa, respectively. An aluminum and copper pole, both the same length are subjected to the same shear force at the top of each pole, bending each pole a different angle y. Which pole has a higher angle of deflection...

Homework Statement Find the magnitude of a and the smallest positive angle theta from the positive x-axis to the vector OP that corrosponds to a. a= (3,-3) Homework Equations a1 = ||a|| * cos theta a2 = ||a|| * sin theta 3. The Attempt at a Solution ||a|| = \sqrt{}(9+9) =...

Homework Statement A cruise ship leaving port, travels 50.0 km 45.0 degrees north of west and then 70.0 km 30 degrees north of east. Find a. The ship's displacement vector (the answer is Rx=25.3 km, Ry=70.4) b. The displacement vector's magnitude and direction...

1. I don't understand coumpound angle formulae, for example sin(x+y), sin(x-y) etc. I'm supposed to solve using angles in the special triangles--so I use angles like 45, 30, 60, or those angles converted into radians--and add them to get the answer. For example: sin15 would be solved using...

Homework Statement Sin(x)+sin(2x)+sin(x)*Cos(2x)+sin(2x)*cos(x)=0 Solve for all angles x.Homework Equations Sin(2x)= 2sin(x)*cos(x) The Attempt at a Solution Not really sure what to do. I noticed that i could maybe factor out Sin(x), but i do not really know if that is right. I seem to be...

Homework Statement I have two related questions related because they both ask to find angles between vectors. The first one says to determine the angles between the sides of a parallelogram determined by the vectors OA = (3,2,-6) and OB = (-6,6,-2). The second one asks to determine...

Homework Statement A boy drags his sled of 90.0N at a constant speed up a 18 degree hill. He pulls with a 40.0N force on a rope which is 35 degrees above the horizontal. a) What is coefficient of kinetic friction between the sled and the snow? Homework Equations Coefficieint = Force...

ie: in the figure theta 3 i got i want theta 2 what formula would i use

Homework Statement No specific question. How would one find the critical angle of a ramp given the mass of the block sliding down it and the mu between ramp and block? It's not a single question but something my teacher explained that i didn't understand. Homework Equations F=(mu)mg F=ma I'm...

This is a little problem that I encountered while trying to measure the floor plan of an irregularly shaped reverberation chamber. I have measured the length of the four walls (all of different lengths). However I didn't measure the angles at the corners (which are in general not 90°), thinking...

Homework Statement Circuit -------------------------------------------------------------------------------- In the circuit shown, the AC voltage source supplies an rms voltage of 147 V at frequency f. The circuit has R = 109 Ω, XL = 212 Ω, and XC = 106 Ω...

Homework Statement A particle with a charge of −2.50×10-8 C is moving with an instantaneous velocity of magnitude 40.0 km/sec in the xy-plane at an angle of 50.0° counterclockwise from the +x axis. 1) What is the magnitude of the force exerted on this particle by a magnetic field with...

Homework Statement A 4.50 kg block of gruyere cheese is suspended as shown. Rope 1 on the left has a tension of 28.3 N; rope 2 on the right has a tension of 40.5 N. (a) What is θ1, the angle made by rope 1? (b) What is θ2? State each angle as the positive angle "inside" the triangle the ropes...

Homework Statement A large empty crate, with its lid in place, has a 9.50 kg mass hanging from a string attached to the center of the lid. If the crate were sitting (at rest) on a flat surface, the string would simply hang straight down such that the mass would not be touching the floor of...

Homework Statement Is there an equation in which I can find the area of a quadrilateral when I know the length of three of the sides and 2 of the angles? Also I really need to find the measurement of the other two angles. Homework Equations I know the cos and sin formulas of...

Homework Statement Known: - Mass of the chopstick - Gravity Homework Equations So the alpha(angular acceleration) can be found The Attempt at a Solution By knowing angular acceleration, I successfully wrote a program that simulate a chopstick falling onto my hand. But all of...

http://ruliweb6.nate.com:8080/ruliboard/gup/img_link7/436/435945_1.jpg Ball A B Mass m 2m Length of tread is 2R where R is the radious of the Circle. I have to find the tension on the tread and angles I could have found the angles by assuming...

If the lengths of all 4 sides of a quadrilateral are known, and none of the sides have equal lengths, is it possible to find any of the angles somehow?

A mass 0.15kg sits in a corner between a vertical wall and a lift, that makes an angle of 65° with the wall. The only force acting on the mass is its weight (W), its normal reaction (Nr) from the lift and its normal reaction (Nw) from the wall. The mag of the acceleration due to gravity to be g...

Three springs of spring constant kare connected to a body of mass m and rigid supports, so that the angles are A 90 degrees between two and 135 degrees between each of these two and the third. B 120 degrees between any 2 adjacent ones. Find time period of vibration. I worked out a...

[b]1. Two towers A and B are 18.5 miles apart. The bearing from A to B is N65E. A fire is spotted by ranger at both towers. Its bearing from A and B are N28e and N16.5W. This makes a triangle with A and B and C the fire. Can anyone give me a clue and finding angles A and B?[b]2. a/sin A = b/sin...

At the end of a problem (I'm sure I did all the math correctly, that's not an issue) I'm supposed to graph the corresponding resultant vector. However, along with the magnitude of the vector, the angles given are in component form: θx, θy, θz. I've never encountered this before, and although it...

Homework Statement What are the Euler's angles corresponding to the rotations of a cube in \theta radians around each of its principal axes around the x: \theta=\theta \phi=\psi=0 around z:\psi=\theta=0 \phi=\theta around y:\phi=\theta=\theta \psi=-\theta is it correct...

Hi guys. Quick question that i am having trouble with, how do I calculate the angles between 3 points on a sphere? This is not for homework purposes, i am merely curious. Thanks in advance.

What would be the euler angles of rotation 2pi/3 about the line x=y=z? If something were in the xy plane and it underwent that rotation, would it end up in the yz plane?

Homework Statement Regarding two-dimensional collisions, I just don't understand why my book suddenly changes vector positions and theta angles at different places than what I was accustomed to. I understand that they're getting me to think by changing questions and answers, but I'm confused...

Homework Statement Convert the following angles in degree to angles in radians: 15° 60° 80° Homework Equations Now i know that 2 ti c = 360° And that 6.28 c = 360° The Attempt at a Solution I just can't quite get my head around it, what calculation should...

Homework Statement If z0 is a critical point of f(z), and m is the smallest integer such that f(m)(z0)=!= 0, then the mapping given by f multiples angles at z0 by a factor of m. Hint: Taylor's Theorem Homework Equations The Attempt at a Solution I don't even know where to...

This is an mensurational problem of triangles. Homework Statement In triangle ABC, anngle B=90degrees and D is the mid point of AC .If AB=20 cm and Bd=14.5cm,find the area and perimeter of the triangle ABC. My book says that BD=AD=DC=> AC=2BD=29 and so on But i can't get how could they...

Homework Statement Two vectors lie their tails at the same point. When the angle between them is increased by 20 degrees the magnitude of their vector product doubles. The original angle between them was about _____ ? Homework Equations \overline{a}\bullet\overline{b} = |\overline{a}|...

If a ball is thrown upwards, another straight out, and another downwards, which will reach the ground with the highest velocity? After thinking about this for a while my conclusion is that they all will have the same velocity since they all have the same initial gravitational potential energy...