Theta Definition and 324 Threads

[SIZE="6"]1 -------------------------------------------------------------------------------- [SIZE="6"]2 how to pick theta (angle between the vector and the component) above two which one is the right choice. I'm confused regarding choosing (theta).. what are the criteria that to be...

Dear all I have done some studies trying to understand the relation between the QCD theta angle and neutron electric dipole moment. General, the QCD vacuum produces the term L_{\theta} = \theta g_s^2\: G_a^{\mu\nu} \, G^a_{\mu\nu} this I can derive! I have studied Srednicki ch 93, Ramond...

Homework Statement I don't understand the step the math book took to convert sin(theta)/sin(theta)-cos(theta) to 1/sin(theta)-cos(theta)/sin(theta) Homework Equations The Attempt at a Solution

what is Theta? Cot (2theta) = 2 I have no idea how to get the answer. algebraically or in my calculator

Homework Statement Prove that A*B = |A||B|cos theta Homework Equations Law of cosines: c^2= a^2 + b^2 - 2abcostheta Property of a dot product; x*x=x^2 Replace c^2, a^2, and b^2 with dot product The Attempt at a Solution c*c=a*a+b*b-2abcostheta since c=a-b c*c= (a-b) * (a-b) c*c=...

Hi, I have been trying to solve some mechanics problems and I can come up with the right equation, but I don't know how to solve it... For example: 490.5cos(theta) - 3600cos(theta)sin(theta) + 1800sin(theta) = 0 i need to solve for theta here its one equation and one unknown...

Homework Statement What is the angle theta between vectors vec A and vec B if vec A = 4 -3 and vec B = -2 + 5? Homework Equations arccos((a dot b)/(|a||b|)) The Attempt at a Solution 4*-2+-3*5=-23 sqrt(4^2+-3^2)*sqrt(-2^2+5^2)=10.39 arc not sure what i am doing wrong but...

Homework Statement There's a block on a ramp. The block weighs 48.9 kg and the ramp's theta (the angle the ramp makes to the ground) is 45. Assumng gravity is 9.8 m/s^2, how would i find the force of the block parallell to the ramp?Homework Equations Um..maybe F=(mu)(m)(g) F=(mu)(normal force)...

Homework Statement show that the limit as h approaches zero of ((cosh-1)/h) = 0. Homework Equations *The bold numbers preceding each line are simply line numbers, they are not apart of the equations.* 1 lim (as h approaches 0) of ((cosh - 1)/h) 2 = lim (as h approaches 0) of...

Homework Statement This is originally from a physics problem but it's more of a math question. How do I solve for theta? Homework Equations 400 - Tcos(theta) = 0 -200 + Tsin(theta) = 0 Using those equations, I need to solve for theta. Also, knowing that tan(theta) =...

Hello The electric dipole potential is V (\textbf{r}) = \frac{1}{4\pi\epsilon_o} \frac{\textbf{p}\bullet \hat{r} }{r^2} I am trying to figure out the algebra in my book. How do you evaluate the scalar product of the dipole moment and the unit vector in the above equation? I get qd...

Homework Statement sorry if the title is not that descriptive Homework Equations i is the imaginary number e is 2.7... x is any anlgle in radians that is... um see the example I explain it sin x = +/- i/2 (1/e^(ix) +/- e^(ix)) I will use a example in atempt at a solution to show...

Homework Statement Does anyone know were I can find a table on the internet of the exact values of sin theta were theta is any whole angle from zero to ninety degrees Example sin 0 degrees sin 1 degrees sin 2 sin 3 sin 4 sin 5 ... sin 90 Homework Equations The Attempt at...

Homework Statement A boy throws a ball upward with a speed of vo= 12m/s. The wind imparts a horizontal acceleration of 0.4m/s^2 to the left. At what angle theta must the ball be thrown so that it returns to the point of release. (assuming wind does not affect vertical motion. Homework...

Homework Statement Describe the behavior of r= abs(sin n theta) where n is a positive integer Homework Equations N/A The Attempt at a Solution I have no idea how to do this

Obtain the forumal of cos( theta 1 + theta2)... This should be a very basic question. I'm reviewing some linear algebra for my Field theory course but there is a question that I'm suck on. It says (a) Prove that P = cos\theta i sin\theta j and Q = cos\phi i sin\phi j are unit vectors in the...

Homework Statement a snowboader is resting atop a large snowball with radius R when she begins to slide off the frictionless surface a)what is her speed when she is at an angle theta? b)find the maximum speed she can have without losing contact with the surface? c)at what angle will she...

Homework Statement How do I solve for theta here: √13 Sin(θ-56.31)=1 in the interval 0< θ <360 2. The attempt at a solution sin (θ - 56.31) = 1/√13 sin (θ - 56.31) = sin ( 16.102 ) => θ - 56.31 = 16.102 Hence θ = 72.412 or θ - 56.31 = 180 - 16.102 θ - 56.31 = 163.898

I was wondering in terms of a mathematical approach to physics, whether alpha and theta represent the same known or unknown angle in the triangles. Ex.. Vi = vo(sin)(theta) or Vi = vo(sin)(alpha)

Homework Statement What must be the applied force (25 degrees above the horizontal) in order to accelerate a block at 1.1 m/s^2, if the mass is 2kg and the coefficient of kinetic friction is .3?Homework Equations F(net y)=Fn + Fav - W Ff = μ x Fn F(net x)=Fah-FfThe Attempt at a Solution I've...

This is my first post on the physicsforums so go easy on me :) I am writing a simple program to generate the zero's of the Riemann zeta function accurately. However I need the first say, ten terms of the theta function \theta\left(x\right) =...

1. What tangential speed, v, must the bob have so that it moves in a horizontal circle with the string always making an angle theta from the vertical? Express your answer in terms of some or all of the variables m, L, and theta, as well as the acceleration due to gravity g. 2. I...

Hi I am struglling to work out the expression for theta=f(x) for a piston, that moves linearly by a distance of x along the inside of the cylinder, and is attached to a conrod of length l, whose other end is at a radius r on a fly wheel. I want an expression for the angle theta that the fly...

Homework Statement http://img188.imageshack.us/img188/9897/73266226.png The problem is to create an equation to find the acceleration of the cart based upon theta. All that is given is the ball hanging is known as mass m. Homework Equations f=ma f=\frac{mv^{2}}{r} The Attempt at a...

Homework Statement What must W be when the force directed along the leg is 26.0N http://session.masteringphysics.com/problemAsset/1012378/6/image5.42.jpg Homework Equations \SigmaF=ma=mg The Attempt at a Solution I used the two angles and drew the y-axis down from the top downward...

Homework Statement A ball is thrown with a speed of 70m/s and hits the top of a wall which is 20m tall and 100m away. Find the angle that the ball was thrown at Homework Equations d= V0xt + 1/2 a t^2 a = Vf-V0/t sin^2(theta) = 1 - cos^2 (theta) The Attempt at a Solution I found...

Homework Statement The direction of propagation is defined as ex=sin(theta)cos(phi), ey=sin(theta)sin(phi), ez=cos(theta). What are the values of theta and phi characterizing the direction of propagation? Homework Equations We have a point in space with the coordinates...

Homework Statement It's a two-part problem, the first part was deriving a Schrodinger equation from when x = r cos(theta) and y = r sin(theta) I got: -\frac{\hbar^2}{2m}[\frac{\partial^2}{\partial...

Homework Statement By what relation/reasoning are these two angles, theta, the same? http://img198.imageshack.us/img198/6273/inclinedplane.jpg

Homework Statement http://carlodm.com/images/mth.png ** Note: The above is from a PRACTICE question for my course. Homework Equations arctan x = (theta) The Attempt at a Solution So. (-3,6) is in Quadrant 2. To solve for this angle we use: (pi) + arctan (-6/2) = (pi)...

Homework Statement A projectile is launched from O with speed u at angle theta to the horizontal. In its subsequent trajectory it just clears two obstacles of height h at horizontal distances d and 2d from O, respectively. http://img403.imageshack.us/img403/4369/projectile.jpg Show...

Homework Statement This was actually a lab for class today. Basically, a marble rolls down a 2.26m slope, in 3.12s. Find the angle of the slope. Assume there is no friction.Homework Equations v=d/t a=v t a=g sin (theta)The Attempt at a Solution v=2.26/3.12 = 0.724m/s since that is Avg. V...

Example: Use a double integral to find the area of the region: One loop of the rose r = Cos[3 theta] Finding the bounds of r is easy, 0 to Cos[3x]. However, I usually get the bounds of theta wrong. How do I find the bounds of theta without using a graphing calculator and guessing. The...

Homework Statement While moving in, a new homeowner is pushing a box across the floor at a constant velocity. The coefficient of kinetic friction between the box and the floor is 0.410. The pushing force is directed downward at an angle theta below the horizontal. When theta is greater than...

Homework Statement An Olympic long jumper leaves the ground at an angle of 23o and travels through the air for a horizontal distance of 8.7m before landing. What is the takeoff speed of the jumper? Homework Equations 8.7m = cos(23o)Vot y = sin(23o)t + (1/2)(-9.8m/s2)t2 0m2/s2 =...

Homework Statement I'm trying to prove the following inequality for 0\leq \theta\leq\frac{\pi}{2} \frac{2}{\pi} \theta \leq\sin\theta Homework Equations 0 \leq \theta\leq\frac{\pi}{2} 0\leq \frac{2}{\pi}\theta\leq 1 The Attempt at a Solution I've looked at the limit...

I am trying to write the term "Sin^2 theta * Sin 2 phi" in terms of spherical Harmonics (they form a combination of Y(2,-2) and Y(2,2)) but the term I get contains the imaginary number 'i'. Am I doing something wrong.. In fact this term is a part of a Hamiltonian and when I get the eigenvalues I...

Homework Statement Use de Moivre's Theorem and the result that integral (with limits pi, 0) of cos[nx]dx = 0 for all non-zero integers of n. when n does equal 0 the answer is 1. [this i proved in the first section of the qu using logic and limits(x->0). so we need to prove that...

I am working on my lab report for the simple pendulum and we did an experiment where we increased the max theta in increments of 5 degrees, while keeping the length of the sting the same. We started from 5 degrees and went to 45 degrees. For some reason the periods seem to increase slighty as...

Homework Statement From my notes: Why is: V_{e} \times sin \Theta \cong V_{e}\Theta ? The only thing I know is that the assumption: \Theta \rightarrow 0 has been made, but that doesn't make the above equation clear to me... Thanks in advance!

Homework Statement I'm supposed to quantify the picture below and show how to find D and the angle theta. http://img10.imageshack.us/img10/7079/labg.jpg Homework Equations none i can think of The Attempt at a Solution I guess S and H are the same. I really can't think of a...

Homework Statement A block is sent sliding down a ramp. Its speeds at points A and B are 1.85 m/s and 2.60 m/s, respectively. Next, it is again sent sliding down the ramp, but this time its speed at point A is 3.95 m/s. What then is its speed at point B? (point a is logically higher on the...

Homework Statement Find the values of (theta),in the interval 0degree\leq(theta)\leq180,for which cos2theta=1/4.Give your answers correct to the nearest integers. Homework Equations :s The Attempt at a Solution do i just tap them in the calculator or how?

Homework Statement Coherent light is passed through two narrow slits whose separation is d. The second-order bright fringe in the interference pattern is located at an angle of theta. If electrons are used instead of light, what must the kinetic energy of the electrons be if they are to...

Homework Statement I have determined the solution to my problem however now the problem asks me to plot theta as the block flies off the sphere when Mu k ranges from 0.0 to 0.5 in increments of 0.05 I don't know a great deal about working with Microsoft Excel. Well I do just not enough to...

I play an online shooter game with artillery that players can use. As best I can tell, the shell exits the artillery at 400m/s, I don't know if that's correct because units aren't listed in the code but it sounds logical. I know the distance to target as well, I only need to know what angle to...

finding theta angle...should be easy one. Homework Statement if your given theta (as pointed out by the arrow with #1), how do you know the #2 arrow angle is the same?Homework Equations

Homework Statement A car rounds a slippery curve. The radius of curvature of the road is R, the banking angle is theta and coefficient of friction is mu. What should be the cars speed in order that there is no frictional force between the car and the road? Homework Equations F=mv^2/r...

| a + bi | = \sqrt{(a)^2+(b)^2} \theta = tan^{-1}(\frac{b}{a}) |(a + bi)^n| = (\sqrt{(a)^2+(b)^2})^n \theta = n(tan^{-1}(\frac{b}{a})) (a+bi) = (\sqrt{(a)^2+(b)^2})^n(cos(n(tan^{-1}(\frac{b}{a})) + isin(n(tan^{-1}(\frac{b}{a})))) Why is \theta = n(tan^{-1}(\frac{b}{a}) ? For...

a particle is kept on the top of a smooth sphere of radius r.the sphere is provided an acceleration a which is a constant.find the speed of the particle as a function of theta the angle it slides from the sphere