Components Definition and 949 Threads

If I have a periodic function that is say a sum of a number of sine functions I can use a Fourier Transform to get the component functions. Now, if I have a bunch of square waves of differing amplitudes and frequencies that I add up into a resultant waveform. Given that waveform what'd be...

Homework Statement In a xyz cartesian coordinate system, a thin vortex filament with constant circulation Gamma, forms a square (in the xy plane), with each side of the square having length L. You are told that an infinitesimal segment del (vector) of this filament induces an infinitesimal...

Homework Statement What is the magnitude of the velocity at t=4.00s? I would like to see if my approach and answer is correct. Homework Equations Position: r = {-30cos(\frac{\pi}{10}t) i + 30sin(\frac{\pi}{10}t) j - (7t) k} ft The Attempt at a Solution I took the first...

Homework Statement http://i.imgur.com/B1hFY6E.png Homework Equations -Basic geometry -Similar triangles (?) -Pythagorean Theorem The Attempt at a Solution -I need to find the angle the bar AB makes with the horizontal, correct? And with that, I will be able to figure out the...

The part of the tire on the ground of a moving car is relatively stationary compared to the ground, right? The way the wheels work is the friction parallel to the direction of movement right? So when we calculate centripetal acceleration for cars going in a circle and the friction forces, why do...

Homework Statement Consider a closed semi-circular loop lying in the xy plane carrying a current I in the counterclockwise direction, as shown in Figure attached. A uniform magnetic field pointing in the +y direction is applied. Find the magnetic force acting on the straight segment...

Homework Statement My textbook shows a vector B 130° from the positive x-axis. B has a value of 5; it asks for the x and y components for B. But they show a way other than SOH CAH TOA. They got the x component by multiplying 5(cos130°) and the y component by multiplying 5(sin130°). What...

Why does the incomplete gamma function have an imaginary component, when the exponential integral does not? \Gamma(0,z,\infty)\equiv\int^\infty_z \frac{e^{-t}}t dt Ei(z)\equiv-\int^\infty_{-z} \frac{e^{-t}}t dt Looking at how these integrals are usually defined I would have expected them to...

I want to find [M_i, M_j] Poisson brackets. $$[M_i, M_j]=\sum_l (\frac{\partial M_i}{\partial q_l}\frac{\partial M_j}{\partial p_l}-\frac{\partial M_i}{\partial p_l}\frac{\partial M_j}{\partial q_l})$$ I know that: $$M_i=\epsilon _{ijk} q_j p_k$$ $$M_j=\epsilon _{jnm} q_n p_m$$ and so...

I have questions regarding the physical interpretation of Dirac 4-spinors. Using the Weyl/Chiral representation and the electron as the particle, in the rest frame of the electron, the 4-spinor reduces to two identical 2-spinors, that is to say the 4-spinor takes on the form (a b a b)...

Homework Statement A parallel system functions whenever at least one of its components works. Consider a parallel system of ##n## components, and suppose that each component works independently with prob 1/2. FInd the conditional prob that component 1 works given that the system is...

searching for equation for translational equilibrium for horizontal components of force

I have attached a circuit I am trying to analyze, Is it possible that Q is not sensitive to the value of C? I solved my transfer function Vo/Vi, and I get (2/c^2R^2)/(S^2 + S(1/RC) + 1/(R^2C^2)) Which looks plausible at the present time, however when I solve for Q, get 1 here? It is...

Hi i am having some obstacles in building up my concept in dc circuit First of all, as we know, voltmeter is made up of a series circuit with both ends connected to two points of other circuits, while inside the series circuit, a galvanometer and resistor is connected in series. How the...

Homework Statement A horseback rider is pulling a log behind him attached via a rope. The force of tension along the rope is 2000 N. What are the vector components of this force given the length components of the rope? The length components are x=1.5m y=2m z=2m. This problem is 3D so there are...

Homework Statement A 525 kg boat is sailing at 4.5 m/s, east. One minute later it is sailing at 3.5m/s, 45 degrees. During this time, 3 forces act on it. Two of the forces are 25 N,78 degrees, and 32 N, 21 degrees. a) find the horizontal and vertical components of the initial and final...

Homework Statement There is no variable for it but we know the angel σ, g, the mass of m1 and m2, m2>m1 and the coordinate system must be considered like that. I know the other method which the coordinate system is parallel to the inclined plane's hypotenuse. Homework Equations F=m*a...

Which components of the force create Rotational motion?

Hey there. Was given this sheet a while ago. Went over it in class a week ago, completely forgot everything about it today (This is a fresh sheet, lost the one I did.). Have an NAB tomorrow, and couldn't find my physics teacher today to get this worked out. So, the problem is that I have...

Hello, I was solving a vector & moments question as a part of my revision and got stuck somewhere. I really need your help.. some sub-questions are solved, please correct me if I'm wrong. Here's the question (Its kinda long) : The free-body diagram shows three forces that act on a stone...

Homework Statement I attempted this problem, and i have a midterm tommorow. I thought my approach was correct but I don't have a clue if it actually is. I drew a simple right angle triangle according to the information given in the question. A ball swings in a vertical circle at the end of a...

Homework Statement W is 8 units in the y-z plane in a direction defined by theta = 120 degrees with respect to the y-axis and have a positive z component. Homework Equations Wy=Wsin(theta) R^(2)=Rx^(2)+Ry^(2)+Rz^(2) The Attempt at a Solution Wy=Wsin(theta) Wy=8sin(120) =6.9...

<< Original post restored by Moderators after being deleted by riseofphoenix >> While you are packing up to drive to school, you forget your laptop on the roof of your car. As you are driving west towards school at v = 45 mi/hr, you suddenly remember the laptop, roll down your window, and put...

Homework Statement A particle of mass m follows the spacetime trajectory x(τ) = (Aτ, Bτ , C cosτω, C sinτω ). What is the 4-velocity u(τ)? Why must A =sqrt[1+B^2+(ωC)^2]
Homework Equations u(τ)=dx(τ)/dτ , u^2 = -c^2 The Attempt at a Solution so I took the derivative of...

Homework Statement Consider a plane with the outer normal unit vector of (1/√2, -1√2, 0). There is a force of (2,1,5) acting on the surface. What is the component of force normal and parallel to the plane? What is the maximum parallel component to the plane? I would like to check my answers...

Homework Statement 2 kg mass swings on the end of a rope as shown in the figure below. At the highest point in the trajectory the string makes a 56 degree angle with respect to the horizontal and the tension on the string is 16.25 N. = (No Response) N Homework Equations So I know I need to...

Homework Statement A is a vector Show that: a1 = x hat (dot) A a2 = y hat (dot) A a3 = z hat (dot)A Homework Equations A= (a1*x hat) + a2*y hat) + (a3* z hat) The Attempt at a Solution my hint says to take the dot product of...

Homework Statement Assume that you have a configuration of conductors with varying electric potentials applied to each. You make the following measurements of the values of the electric potential at different points in a two dimensional grid: X = 0.0 cm Y = 0.0 cm V = 2.0 volts X = 2.0...

As the title suggests I am working on some general relativity and combinatorics seems to be my ever-returning Achilles heel. I have a four dimensional tensor, denoted by g_abcd with a,b,c,d ranging between 0 and 3, which is fully antisymmetric, i.e.: it is zero if any of the two (or more)...

Homework Statement Let resultant vector A = 17 i hat - 42 j hat and resultant vector B = 31 j hat + 18 k hat. Find the resultant vector C such that the sum of resultant vector A, B and C equals resultant vector zero. Find the i,j and k components of resultant vector C. Homework Equations...

Homework Statement A car drives north at 48mi/h for 10 min and then turns east and goes 5.0 mi at 66mi/h . Finally, it goes southwest at 36mi/h for 6.0 min. Determine the car's displacement. Assume that the positive x and y axes are directed to the east and north, respectively. Answers...

Vector A is in the direction 41.0 degrees clockwise from the y-axis. The x component of A is = -15.0 . A)What is the y component of vector A? B)What is the magnitude of vector A? I got -13.0m for part a, and 19.8m for part b, but mastering physics says they are wrong. Any ideas?

An object undergoing parabolic motion travels 100 m in the horizontal direction before returning to its initial height. If the object is thrown initially at a 30° angle, determine the x component and the y component of the initial velocity. (Neglect any effects due to air resistance.) I am...

In this excerpt from the notes of Sean M. Carrol, he says: "Einstein’s equations may be thought of as second-order differential equations for the metric tensor field gμν. There are ten independent equations (since both sides are symmetric two-index tensors), which seems to be exactly right...

Homework Statement Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.50m due east, then 0.80m at 30° north of due east. Beetle 2 also makes two runs; the first is 1.6m at 40° east of due north. What must be (a) the magnitude and (b) the direction of its second run...

Homework Statement The z component of the force F is 80 lb. (a) Express F in terms of components. (b) what are the angles
x,
y, and
z between F and the positive coordinate axes? Homework Equations The equations that I attempted to use were directional cosines, trignometric...

I need to make a synchronous demodulator using basic components (op-amps, etc...) and I was wondering if anyone has currently made one. I want to avoid using an custom IC chip unless there is one available. I was looking into the Analog's AD630 and TI's INA143 (which they claim can be used as...

Hi eveyone, I am new to this forum and I hope that I can gain lots from this forum. Recently, one question comes into my mind, that is about the possibility of splitting the electric component and magnetic component of EM wave. This two components seem to always stick together. However, if...

Homework Statement Find the components of the vector A with length a = 1.00 and angle=20.0° with respect to the x-axis as shown. Enter the x component followed by the y component, separated by a comma. Homework Equations none The Attempt at a Solution To find the X-component...

Homework Statement In the oblique coordinate system K' defined in class the position vector r′ can be written as: r'=a\hat{e'}_{1}+b\hat{e'}_{2} Are a and b the covariant (perpendicular) or contravariant (parallel) components of r′? Why? Give an explanation based on vectors’ properties...

Homework Statement What is the electric field at a point when the force on a 1.05μC charge placed at that point is (3.0i-3.9j)x10^-3 N? (E=αi+βj N/C). a) Find α b) Find β The Attempt at a Solution first i took the force and solved for the vector sum of the components: √[(3x10^-3)^2 +...

When you need a component (ex. SCR) with specific requirements (ex. 12amp max and less than 20mA gate trigger current) how do you go about finding the component? How do you know what's out there for purchase in extremely small quantities (like just a few). This always becomes a problem when I am...

I am looking for an efficient procedure to find the natural frequency of a system comprising more than two components. Like I have an assembly of system comprising compressor, condenser, piping, fan, fan bracket, and frame. I have all the designs and dimensions of the total model. How can I find...

I see some trouble with how symmetrical components are treated. In lots of texts, I have heard something along these lines When the current in a 3 phase motor is unbalanced, we can resolve it into three sets of balanced currents. 1. Positive sequence currents. These produce rotating magnetic...

I have a physics book that says the electrons orbiting an atom are responsible for the physical and chemical properties of that atom. And yet I have managed to find another source which says the number of neutrons can affect the "Density (mass/volume), boiling point, freezing point, and the...

Homework Statement 4.9b cites the y components to be sin degree and 4.9a is somehow cos degree for the x components (see picture) Homework Equations Here's a different textbook that supports my claim (see picture) The Attempt at a Solution Shouldn't the y components for problem 4.9b be cos...

Homework Statement Please see attached photos. I've been drawing and re-drawing diagrams but I'm at a loss. For part a, I've tried a right triangle using the top cable as the hypotenuse. I've tried the force equation (ƩF=ma) but I don't think that's right. I just can't get a start...

Homework Statement A 1200-N uniform boom at ∅=55° to the horizontal is supported by a cable at an angle θ=25.0° to the horizontal. The boom is pivoted at the bottom and an object of weight 2 000 N hangs from its top. Find (a) the tension in the support cable and (b) the horizontal and...

Hi all, I'm now reading Chap 11 of Gravitation by Wheeler, etc. In exercise 11.7, by introducing Jacobi curvature tensor, which contains exactly the same information content as Riemann curvature tensor, we are asked to show that we can actually measure ALL components of Jacobi curvature tensor...

What does the the cross product of two acceleration vectors do? (a cross ar) = 0 where a =axi + ayj + azk and ar = arxi + aryj + arzk (a cross ar)x = ay*arz - az*ary (a cross ar)y = az*arx - ax*arz (a cross ar)z = ax*ary - ay*arx It gives the perpendicular components of each. In the...