Angle Definition and 1000 Threads

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...

1. The prIoblem statement, all variables and given/known data You are the chief of the Angry Birds (Google it, if you don’t know the reference...it’s not important). You can shoot red birds from a catapult, and they will fly as projectiles under the effect of gravity. Gravity points downwards...

Hi! I'd just please like to know the most efficient way to conduct my experiment. See, my research question is "for what angle is horizontal speed the fastest?" We all know that the steeper a hill is, the faster an object accelerates. Obviously a 90 degree angle won't do much. I will try to...

Homework Statement find TM p-parallel for (angle of incidence)=68 degrees, n(sub1) = 1.0, n(sub2) = 1.6[/B]Homework Equations how to find angle of transmission, theta(sub)i[/B]The Attempt at a Solution I know that when the angle of incidence is greater than the critical angle, all the light...

Homework Statement A 0.020-kg mass is attached to a 1.2-m string and moves in a horizontal circle with a constant speed. The tension in the string is measured at 0.200 N. What is the measure of angle θ? Homework Equations ∑F=ma, a=v^2/r The Attempt at a Solution I broke down the forces at...

Homework Statement Canada geese migrate essentially along a north-south direction for well over a thousand kilometers in some cases, traveling at speeds up to about 100 km/h. The one goose is flying at 100 km/h relative to the air but a 34 km/h wind is blowing from west to east. At what angle...

Homework Statement Two coplanar dipoles are oriented as shown below. If θ is fixed, what is the equilibrium angle θ' ? Homework Equations The torque exerted by dipole P on dipole P' is given by $$\vec{N'}=\vec{P'}\times\vec{E}$$ where vector E is the electric field. The Attempt at a...

Mathematical Proof That a 45 Degree Angle Launch is Best for Displacement how do i solve this

1. (Ignore air resistance) A rock is thrown 55% above the horizon at 30m/s. What is the horizontal displacement of the rock when it hits the ground?2. Can only use vf^2=vi^2+2ad and sohcahtoa3. Would it work to first draw a vector triangle and find the vertical velocity vector only. Then use...

I have two vectors: f1 = (x1,y1,z1) f2 = (x2,y2,z2) The origins are placed together and they are of the same coordinate system. They make a plane between the two vectors and the origin. How do you find the angle between the two vector on that plane?

Homework Statement The cords ABC and BD can each support a maximum load of 100 lb. Determine the weight of the crate, and the angle θ for equilibrium. Homework Equations ∑F= 0 ∑Fx=0 ΣFy=0 Setting derivative of an expression to zero To find critical point Second derivative test for determining...

I was going to ask a question about whether or not pi was constant or changed with curved space. I found the answer on here that it does indeed change. Then I started thinking about the ramifications of that. sine waves are dependent on pi, so they should change too. Does sin(theta) =...

http://im54.gulfup.com/ZtJZd5.png http://im54.gulfup.com/SJgJXh.png Till now compared with other subjects that I studied by my self, linear algebra is really the toughest one :bow: Anyway, here I found a plane using characteristic eq. which really surprised me since det(M)=1, M is the matrix...

Homework Statement Homework Equations I have no idea where to start The Attempt at a Solution Similarly. If someone could give me some direction to solve this I would really appreciate it.

Homework Statement John, Paul, and George are standing in a strawberry field. Paul is 16.0 m due west of John. George is 40.0 m from Paul, in a direction 39.0 ∘south of east from Paul's location. A. How far is George from John? (Already Done) B. What is the direction of George's location...

Homework Statement [/B] Vector A lies in the yz plane 63.0 degrees from the +y axis, has a positive z component, and has a magnitude 3.20 units. Vector B lies in the xz 48.0 degrees from the +x axis, has positive z component, and has magnitude 1.40 units. a) find A dot B b) find A x B c)...

I have a question regarding how to calculate kinetic energy. Let's say I was to find the kinetic energy of a ball shot at 180 m/s at a 45 degree angle. Do i simply sub in 180 as v (velocity) in the kinetic energy equation (1/2mv^2) or must it be split into components?

Hydrogen sulphide has the same structure as water. The bonding in water is 104.5 degrees. As both have two bond pairs and two lone pairs of electron, shouldn't the bond angle in hydrogen sulphide be 104.5 degrees? Why is it 92 degrees? Is there anyway one can calculate the bond angles? Thanks.

Homework Statement The figure depicts the sum of two velocities, vA and vB. The value of the sum is7 m/s and the angles shown in the image are θ1 = 29.8°, and θ2 = 18.3°. Homework EquationsThe Attempt at a Solution I have no idea where to even begin on this

Homework Statement A uniform cylinder of mass M and radius R can be rotated about a perpendicular axle through its centre. A particle of mass m is attached to the cylinder's rim. The system is rotated with angular velocity w about the axle, which is held in a fixed direction during the motion...

I drew a FBD about point A and came up with the two equations: ∑Fx=0 20sinθ - T-ab(cos70)=0 ΣFy =0 -20cosθ + T-ab(sin70) -20=0 My answer is not coming out so I either messed up on the FBD or the equations, some help would be appreciated. I'm on 3-10 by the way.

<<Mentor note: Moved from other thread.>> I have 4 questions: 1. Why Weinberg angle affects neutral boson mixing, while W+ and W- are unaffected? 2. Is there any relation between Weinberg angle and CP violation angle? Are they absolutely independent? 3. How our world would be different if...

The problem is to find out the solid angle ω subtended by a disc of radius a at a point P distant z from its centre along its axis. α is the semi-vertical angle of the disc at the point P in question. The answer is supposed to be ω = 2π (1 - cos α), according to an online text. However, I find...

From the north pole, how high is the sun @ midnight on the summer solstice ? Thanks

Homework Statement A mass m1, with initial velocity u, collides elastically with mass m2, which is initially at rest. After collision, m1 deflects by angle θ. Find the maximum value of θ. The answer given is θmax=acos(sqrt(1-(m1/m2)^2)). Does this mean that the maximum angle cannot exist if...

Homework Statement Please if anyone could help me with this question . Two wires AC and BC are attached to the top of pole CD . The force exerted by the pole at C is vertical and the 2.5 kN force applied at C is horizontal and makes an angle α with the direction of the x-axis . Find the...

A man is standing on a 48.5 building and is looking on a second building. The angle of depression of the top and foot of the second building is 50 degrees and 80 degrees, respectively. What is the height of the second building? The height from the foot to the eye of the man is 1.5 m. Hello...

Hello, I need some help with a problem in fluid mechanics. Consider a situation where a cylinder ( of a given radius and length) is kept at an angle theta to the vertical, and a fluid flows across this cylinder. I need to determine the forces and moments acting on this cylinder, for different...

Homework Statement : The trajectory of a projectile in a vertical plane is y = √3 x - (1/5)x2, where x and y are respectively horizontal and vertical distances of the projectile from the point of projection. Find the angle of projection and speed of projection.[/B]Homework Equations ...

Homework Statement : A body is projected with 50m/sec at an angle of 53 degree with the horizontal. After what time velocity makes an angle 33.7 degree with horizontal. (tan 33.7 = 2/3)[/B] Homework Equations : Mostly from 2-Dimension and maybe calculus.[/B]The Attempt at a Solution : I've...

Homework Statement The airplane traveling at a constant speed of 50m/s is executing a horizontal turn. If the plane is banked at ##\theta=15## when the pilot experiences only a normal force on the seat of the plane, determine the radius of curvature of the turn. Also what is the normal force of...

The problem A right triangle has an angle a and we know that ##cos \ a = \frac{1}{3}##. What is ## tan \ (90°-a) ## The attempt I know that the ration between the adjacent side and the hypothenuse is 1/3. I am not interested in the real lengths of the sides. I can therefore calculate the...

Why does tension across a rod rotating horizontally vary when it is rotating about one end?

Homework Statement First question: The waves are approaching at an bearing of N70W, and at N50W, to a coast with a N13ºE orientation. What is the angle of the wave offshore? Answer: 7 degrees and 27 degrees. Second question: The wave is approaching at an angle of 135º. The coast is at 305º...

Homework Statement a ball rolls off an incline on top of a 9.0m building at a velocity of 22m/s 32° below the horizontal how far from the base of the building will the ball hit the ground? [ANS = 11m) Homework Equations vf^2 = vi^2 + 2ad d = ((vf+vi)/2)t d = vt The Attempt at a Solution x...

Homework Statement A Particle of mass m and chargeq oves at high speed along the x axis. It is initially near x=-infinity and it ends up near x=+infinity. A second charge Q is fixed at the point x=0, y=-d. As the moving charge passes the stationary chrge, its x component o velocity does not...

I'm following Professor Ramamurti Shankar's video lecture series for Fundamentals of Physics I on Open Yale and I'm hung up on the last question on the second problem set, of which there is no mention on the solution set. http://oyc.yale.edu/physics/phys-200/lecture-4 The question asks, "Show...

For a physics problem, I need to calculate the solid angle subtended by an oblique cone (cone where the apex does not lie on the line perpendicular to the cone's base from the center of the base). Consider the following problem: I have a 2D disk which emits light in an ever growing hemisphere...

This problem was on my exam last week, and I've been having some troubles coming up with a solution. 1. Homework Statement Two semi-infinite conducting planes are connected by insulating glue, they make a 30º angle with each other. One of them is at ground potential, and the other one at V0...

Hiii... I hav caluclated my inner wheel lock angle(38.25°) and outter wheel lock angle(26.16) from formulae ...and I tried to caluclate for X degree rotation of my inner wheel how much my outter wheel rotates...ex:- at 20° rotation of inner wheel...17.7° of outter wheel ...nd at 38.25 I...

Homework Statement general question: if I give a ball velocity (He is tied to a wire (tension)) and consider that the wire has no mass. Does the length of the wire affects the angle? If I solve this with energy tools then I get that the longer the wire the smaller the angle. it does not settle...

Statement: I need a suitable method and factor to investigate ONE factor that affects the angle of refraction. It has to be related to the context of everyday life and glasses, i.e. how glasses are used to focus light and the light focused is that of a refracted ray. Therefore factors such as...

Homework Statement A ball rolls off a table at speed v and impacts the floor at distance d. What is the angle between the path of the ball and a vertical line drawn at the moment of impact. Homework Equations I have derived from basic projectile motion formulae: Time of impact t =...

Problem statement: The E field measured just above a glass plate is equal to 2 V/m in magnitude and is direct at 45° away from the boundary, as shown in the figure. The magnitude of the E field measured just below the boundary is equal to 3 V/m. Find the angle theta for the field in the glass...

Hello. I find this whole topic of compound angle formula really confusing. I've been doing equations like cos(60+x) = sinx using the co function identities so far, yet this one seems to be impossible to do using cofunction identities so I need to know how to do it using compound angle formula...

Homework Statement A racquet ball with mass m = 0.224 kg is moving toward the wall at v = 15.1 m/s and at an angle of θ = 28° with respect to the horizontal. The ball makes a perfectly elastic collision with the solid, frictionless wall and rebounds at the same angle with respect to the...

Greetings, Do we use Absloute refractive index when finding crtical angle ? if it was two mediums ( not vacuum or air) how would i calculate the critical angle ? I mean i get confused when I find relative refractive index because sometimes i get sine inverse greater than 1 which give no...

http://www.upload.ee/image/4760492/DSC_0002.JPG Homework Statement I have given angle of twist, diameter, uniform load, and length of the beam. I need to find the G.The load gives me some trouble and i don't know if i should solve it by using integration or? :) Homework EquationsThe Attempt...

Please see attached image for problem and brief description of attempted solution.

Hello, this problem has given me headaches for days 1. Homework Statement The diameter of a carousel is 15 m and it rotates 8,0 rounds per minute. Calculate how large of an angle is formed with respect to the vertical plane by the swing that hangs by the ropes fixed to the edge of carousel...