Theta Definition and 333 Threads

Homework Statement A ball of mass m hangs vertically from a massless string experiencing a tension T. What force is required to pull the ball out to an angle theta from the vertical? 1) mgsin(theta)2) mgcos(theta)3) mgtan(theta)4) 2mg tan (theta)5) mg/cos (theta) Homework Equations no...

Homework Statement Find the slope of the tangent line to the give polar curve at the point specified by the value of theta R = 1/θ, θ=π Homework Equations ##\frac{(dr/dθ)sinθ + rcosθ}{(dr/dθ)cosθ - rsinθ}##The Attempt at a Solution The derivative of r is -1/θ2 Then plugging things into the...

Homework Statement The objective is to code a working solver, but my question is specifically with the physics aspect. I am to find the θ value necessary to launch a projectile and hit a target. My problem is distinguishing between an overshoot and an undershoot. For example: Both of these...

Hello! (Wave) How can we find what section of the cylinder $x^2+y^2=1$ corresponds to cylindrical points $(1,\theta,z)$ in the range $\theta$ in $[0,\pi]$ and $z$ in $[ -1,1]$ ? We have that the cylindrical points are of the form $(r, \theta, z)$ where the following relations hold: $$x=r...

1. the problem goes like this : The energy of interaction of a classical magnetic dipole with the magnetic field B is given by E = −μ·B. The sum over microstates becomes an integral over all directions of μ. The direction of μ in three dimensions is given by the angles θ and φ of a spherical...

Homework Statement Homework Equations ΣFx=max The Attempt at a Solution I drew a free body diagram for the box and set up the equation to solve for θ, but I'm not sure how to do it without μ

Homework Statement A two-dimensional circular region of radius a has a gas of particles with uniform density all traveling at the same speed but with random directions. The wall of the chamber is suddenly taken away and the probability density of the gas cloud subsequently satisfies $$...

Homework Statement use cylindrical coordinates to find the volume of the solid which is under z=xy, above xy-plane and inside the cylinder x^2+y^2=2x Homework EquationsThe Attempt at a Solution \int_{0}^{pi/2} \int_{0}^{2cos\theta} \int_{0}^{r^2\cos\theta\sin\theta} r\, dz \, dr \, d\theta...

Homework Statement to achieve max moment , the 4 kN must br perpendiclar to 20m , right ? so, i formed a cloased triangle and use sine rule to find the tetha , 25/ sin90 = 4/sin tetha , i gt my tetha = 9.2 degree , but the ans given is 33.6degree i gt max moment = 80Nm Homework EquationsThe...

Homework Statement A heavy sled is being pulled by two people as shown in the figure. The coefficient of static friction between the sled and the ground is μs = 0.579, and the kinetic friction coefficient is μk = 0.435. The combined mass of the sled and its load is m = 336 kg. The ropes are...

Hello, I was working on a classical mechanics problem, and I suddenly came up with this question: Let's think about a point in a 2-D plane. This point is represented by (r, θ), where r is the distance between the origin and the point and θ is the angle measured from the x-axis. Now, what is...

Could anyone give me some advice as to how to solve this? P.S. Sorry if this should've gone in the Calculus forum, I didn't know which would be more appropriate.

Homework Statement Three charged particles are placed at each of three corners of an equilateral triangle whose sides are of length 2.7 cm . Two of the particles have a negative charge: q1 = -6.0 nC and q2 = -12.0 nC. The remaining particle has a positive charge, q3= 8.0 nC . What is the net...

Homework Statement a small spherical insulator of mass 6.00×10−2 kg and charge +0.400 μC is hung by a thin wire of negligible mass. A charge of −0.220 μC is held 0.290 m away from the sphere and directly to the right of it, so the wire makes an angle theta with the vertical. What is the angle θ...

If the vector r is (x,y), so, what is the vector θ? BY THE WAY is (y,-x) ?

solve for theta $\frac{\tan(\theta)(\sqrt{5-4\cos(\theta)}-1)}{\sqrt{5-4\cos(\theta)}}=\frac{10}{60}$ I have already tried my best solving this eqn but still couldn't get it. FYI getting that equation already took me a lot of work. Now I'am on the last piece of the problem I am solving which...

This is a small portion of a bigger physics problem I am trying to solve, but I can't get passed this little integrand reformulation. How does this ∫(sinθ/cosθ)d(sin2θ) Become ∫[sinθ(2sinθcosθ)/cosθ]dθ Basically, how is the sin2 taken out of the d(sin2θ) and the θ left in the dθ? Thanks

I understand what to do when theta is by itself such as r=5+10cos(theta) but what if you have the same equation, and it is (2theta) I am on taptalk by the way.

Homework Statement My textbook states that when ##\theta = c ## where c is the constant angle with respect to the x-axis, the graph is a "half-plane". However, when ##\phi = c ## it is a half-cone. The only difference I see is that ##\phi## is the angle with respect to the z-axis, rather than...

Homework Statement Here is my equation that I want to find theta angle Homework EquationsThe Attempt at a Solution I try to set different value of cos (theta) to find theta but it failed , I want to know the main solving strategy Thanks

Homework Statement A cylinder of radius R and mass m is lodged between cross pieces that make an angle θ with each other. The cross pieces of negligible mass are connected in point C, with lengths AC = BC = 2R and CD = CE = 3R. Determine the tension in the horizontal rope DE. You may assume...

Homework Statement Find the slope of the tangent line to the give polar curve at the point specified by the value of theta R = 1/θ, θ = π Homework Equations Slope of a polar equation is (dR/dθsinθ+Rcosθ/dR/dθcosθ-Rsinθ) The Attempt at a Solution Using my calculator, I plugged π for θ, -.101...

Homework Statement Two spheres are suspended on strings and repel each other. Using the graphing function of your calculator setup and solve a formula to find theta. The length of the rope is 3.0m, q = 1.0e4 and m = .2 kg. Homework Equations F=k*q1*q2/r^2 The Attempt at a Solution Using...

Homework Statement Prove in a current carrying wire the magnetic field only has a theta component. Homework Equations ∇ ⋅ B = 0 (dive of magnetic field zero, 2nd Maxwell Eq) ∇ x B = μ J (Ampere's Law, 4th Maxwell Eq) Cylindrical symmetry means B field only dependent on r (distance from z...

hi guys, can someone please tell me how to find Theta and Phi from Yaw Pitch and Roll? I use my smartphone orientation sensor on a project and i need to calculate the smartphone's normal vector projection.

Homework Statement Improper Integral of theta/cos^2 theta Homework EquationsThe Attempt at a Solution Hi all, this was one of the few questions on my final today that I just didn't know how to do. I know how to do trig sub, know all my trig identities and know improper integration, but was a...

Hi, I'm new to the forum as I'm struggling to find answers with an internet search. I've seen Snell's Law stated as n sin theta = constant. How does this arise from its more familiar form of n1sintheta1 = n2sintheta2? I can't work it out. Thanks for reading!

Homework Statement Use your calculated muzzle velocity (v_0) to determine the angle at which you would need to aim your launcher, fired from floor level, in order for your marble to land on a platform 10 cm above the floor, a horizontal distance of 50 cm from the launcher. Homework Equations...

Homework Statement The problem shows a wrench with a force being applied to one end. Rotation will occur around point P at the opposite end. The force is applied 43 inches to the left from P, and 6 inches above P. The angle theta is between the vertical axis at the end of the wrench (non-p...

Homework Statement "What is the maximum angle above the horizontal with which a projectile can be fired so that its distance from its point of firing (on earth) is always increasing?" [/B]Homework Equations r^2=t^2 v^2 Cos[x]^2 + (-4.905 t^2 + t v Sin[x])^2 The Attempt at a Solution I have...

Determine the values of sin v, cos v, and tan v at each point P(x, y) on the terminal arm of an angle v in standard position. (b) (3, 4) ( (d) (12, 5) (f) (7, 24) for b I was able to do tan \theta= y/x tan \theta= 4/3 \theta = 53.13 My textbook says I am wrong... doing an online...

I am having trouble with calculating angle theta: I have derived: 600^2 = [250-150sinx-150cos(40-x)]^2 + [500sin60 + 150cosx +150sin(40-x) ] ^2 how do I solve for x in this case?

Homework Statement A parallel beam of monochromatic light of wavelength 580nm is incidentally normal on a diffraction grating. The separation between successive lines on the grating is 0.7μm as shown in the figure. please refer to the photo , i am having problem with part (a) Homework...

Homework Statement A point charge +q is placed near a curved, charged, insulating rod as shown at the left below. (I'll just draw it, I don't have access to a camera at the moment) The charge is placed near the center of the curvature of the curved rod. For each of the five cases A-E, the...

Homework Statement A particle moves with const speed v along the curve r(θ) = a(1+cos θ). Starting with the general expression for the velocity vector v in polar coordinates solve for θ_dot in terms of v, k, and θ. What does the sign of θ_dot signify?Homework Equations v = r_dot*r_hat +...

Dear Math and Physics fans You have always been so helpful in the past and I was hoping that I could call on your expertise once again. I want to make a wedge filter in MATLAB so I can determine the orientation of the ellipse of a centered 2D fft. I tried to make an new image where...

For a mass on an incline plane, is the downward force mg cos Θ or -mg cos Θ? I'm inclined to state there should be a negative but from my lectures, the negative does not appear to be stipulated. I was wondering if it's was a mistake by the lecturer. mg cos Θ + FN = 0 mg cos Θ = -FN the...

Football Player 1 (mass m1 = 72 kg) has just caught a pass at the 50 yard line when he is tackled by Football Player 2 (of mass m2). Each player was initially moving at an angle of theta with respect to the 50 yard line at 8.0m/s. the tackle is a perfectly inelastic collision and the players...

Hi all, this is a problem that I want to start early on, but I'm not sure how to show my work for this. If i say the theorems it just feels repetitive. So I guess my question is, is using theorems enough to answer this? thank you! Homework Statement determine the properties of each...

Homework Statement If the probability density function (p.d.f.) of the random variable X is f(x| \theta ) =\begin{cases} \frac{1}{3\theta} & 0 < x \leq 3\theta \\0 & otherwise\end{cases} Where \theta > 0 is an unknown parameter, and X_1, X_2 … X_n is a sample from X where n > 2...

Well the main problem here its once a i get the integral i do not how to put dy as function of thetha and then integrate ; at the end that's what i get Ex=integral (dE*cos\theta)=(\lambda/4\pi\epsilon) times the integral of cos(\theta)dy/x^2+y^2 where i can easily find the cosine and...

I'd like to figure out why f(x) = x^n - r e^{i \theta} = \prod_{j = 0}^{n - 1} ( x - r^{1/n} e^{i \theta / n} e^{2 \pi i j / n} ) , as I've seen it used as an identity in a few courses but I cannot figure it out. Could somebody shed some light? I understand they are the roots of the function...

Homework Statement A block slides down an inclined plane of slope angle (theta) with constant velocity. It is then projected up the same plane with an initial speed v(knot). (a) How far up the incline will it move before coming to rest? (b) Will it slide down again? Homework...

I'm brand new to this website, and couldn't figure out how to start a new thread, but I also have a question about Big Theta notation. Is big-theta(x/y) = big-theta(x)/big-theta(y)? I know big-o(x/y) = big-o(x)/big-o(y), but I don't know if big-omega(x/y) = big-omega(x)/big-omega(y). I can...

Problem statement Solve each equation over the domain theta greater than or equal to 0, less than or equal to 2 pi: Sin theta= sin theta tan theta Revelant equations Problem statement I divided it by sin theta to get tan theta equal to 1. Tan theta=1 can occur in the first and third...

Hey, all, so I have been studying this problem all morning, and I do not understand two aspects to this example problem. I included a photo of the diagram used in this problem. You will see two cubes, but the diagram which corresponds to the problem below is the one on the right.PROBLEM: Find...

I want you note this comparation: \\ \sin(\theta)=\sin(\omega t)=\sin(2\pi f t)=\sin\left(\frac{2\pi t}{T}\right) \\ \\ \sin(?)=\sin(k x)=\sin(2\pi \bar{\nu} x)=\sin\left(\frac{2\pi x}{\lambda}\right) ω is rate of change of θ with respect to t. So, exist a physic/mathematical quantity that...

I'm so confused about finding an angle, theta in this illustration. With having three coordinate information, how can I calculate the theta using dot product? I would easily find the angle by using trigonometric formula if I ignore the z-axis. But I want to solve this problem with...

Homework Statement A baseball is thrown just so that it is able to pass a wall 10m high at a distance that is 1000m away. If it is aimed 30 degrees above the horizontal, what is the initial speed of the baseball? Homework Equations relevant equations shown at the attempt at the solution...

Homework Statement A mass m = 5.500 kg is suspended from a string of length L = 1.570 m. It revolves in a horizontal circle (see Figure). The tangential speed of the mass is 2.874 m/s. What is the angle theta between the string and the vertical? PIC OF DIAGRAM...