Uniform Definition and 1000 Threads

Homework Statement A ferris wheel with a radius of 14.0 m rotates at a constant rate, completing three revolutions in 50.0 s. What is the apparent weight of a 60.0 kg passenger when she is at the top of the wheel? Given choices: 532 N, 452 N, 562 N, 625 N, 469 N Homework Equations...

hello (pardon me if this is a lame question, but i got to still ask) If a function is uniformly continuous (on a given interval) then is it required for the derivative of the function to be continuous? I was thinking as per the definition of Uniform continuity, f(x) should be as close to...

Homework Statement Imagine two clocks that both perform uniform circular motion of radius a in the x-y plane, but in opposite directions: xμ(u) ={t, a cos(ωt),±a sin(ωt), 0}. Suppose these clocks are synchronized to agree when they are coincident at x = a at t = 0. How much time elapses until...

Homework Statement Typical semiconductor fabrication technologies employ copper (ρ ~ 15.7nΩm; μr ~1) as the interconnect material. A process is designed for a clock frequency of 1GHz, has interconnect cross sections ranging between 35nm x 70nm and 0.18um and 90nm. Quantitatively determine...

The sun is far, far away. The Earth is far, far away. No stars. Nothing but unbounded spacetime. And three rockets. Rocket #1: Velocity (according to its odometer): 700 mph Towards Earth (constant speed) Rocket #2: Accelerating (according to its odometer) to 800mph towards some galaxy far away...

Homework Statement http://gyazo.com/55eaace8994d246974ef750ebeb36069 Homework Equations Theorem III : http://gyazo.com/af2dfeb33d3382430d39f275268c15b1 The Attempt at a Solution At first this question had me jumping to a wrong conclusion. Upon closer inspection I see the...

It seems like there is no such thing as uniform motion. Example: I just took my pup to the beach. She crashed into many waves. We're back and she's asleep (at rest). However, her position in spacetime is changing because she's attached to the earth, which is moving, and the Earth is...

If all motion is relative, then why is the general theory of relativity so much more dense with mathematics? I'm not asking you to explain the math--there is no way I would ever grasp that. What I'm confused on is why non-uniform motion (accelerated or decelerated motion) is so different from...

f(x)=1, θ-1/2 ≤ x ≤ θ+1/2 Given that Z=(b-a)(x-θ)+(1/2)(a+b) how would you show that Z has a continuous uniform distribution over the interval (a,b)? Any help would be much appreciated.

Homework Statement Suppose that ##s_n(x)## converges uniformly to ##s(x)## on ##[b, ∞)##. If ##lim_{x→∞} s_n(x) = a_n## for each n and ##lim_{n→∞} a_n = a## prove that : ##lim_{x→∞} s(x) = a## Homework Equations ##\space ε/N## The Attempt at a Solution I see a quick way to do this one...

Homework Statement At t1 = 3.00 s, the acceleration of a particle moving at constant speed in counterclockwise circular motion is a1=(6m/s2)i+(5m/s2)j At t2 = 4.00 s (less than one period later), the acceleration is a2=(5m/s2)i-(6m/s2)j The period is more than 1.00 s. What is the radius of...

Could any here smart people help me with the Lab question: 3. Why do we measure the period by timing 25 revolutions? Why not one revolution or 100 revolutions? This is from http://www2.sunysuffolk.edu/denicog/labs/lab11_132.pdf Lab from Uniform Circular motion. Thank you so much!

Homework Statement Prove that if f is uniformly continuous on a bounded set S, then f is a bounded function on S.Homework Equations Uniform continuity: For all e>0, there exist d>0 s.t for all x,y in S |x-y| implies |f(x)-f(y)| The Attempt at a Solution Every time my book has covered a...

Which wood cross sectioπ caπ carry hïghest uπiform load Homework Statement Homework Equations Moment of inertia for rectangle I=(1/12)bh3 τ=(VQ)/(I*b) σ=(MV)/I The Attempt at a Solution I started by finding reactions at B and C Then drew the sheer and moment diagrams (to save...

Hello. So I was wondering that when you shoot an electron through an uniform magnetic field, obviously Lorenz force starts to skew the path to that corkscrew shape that we all know. But then there is an acceleration towards the center of the circle, and if the the velocity of the electron...

Homework Statement I would like to use the Weierstrass M-test to show that this family of functions/kernels is uniformly convergent for a seminar I must give tomorrow. H_{t} (x) = \sum ^{-\infty}_{\infty} e^{-4 \pi ^{2} n^{2} t} e^{2 \pi i n x} . Homework Equations The Attempt at a...

Homework Statement The proportion of time x that an industrial robot is in operation during a 40 hour work week is a random variable wth probability density function f(x)= 2x 0≤x≤1 I already found my E(x) to be 2/3 " Mean" and V(x) to be 1/18 " variance" Here is where things get...

Homework Statement A uniform circular disc has mass M and diameter AB of length 4a. The disc rotates in a vertical plane about a fixed smooth axis perpendicular to the disc through the point D of AB where AD=a. The disc is released from rest with AB horizontal. (See attached diagram) (a)...

Homework Statement An insulating rod having linear charge density l 5 40.0 mC/m and linear mass density m 5 0.100 kg/m is released from rest in a uniform electric field E 5 100 V/m directed perpendicular to the rod (Fig. P25.9). (a) Determine the speed of the rod after it has traveled...

A uniform spring whose unstretched length... A uniform spring whose unstretched length is L has a spring constant k. the spring is cut into two pieces of unstretched lengths L1 and L2, with L1 = nL2. What are the corresponding spring constants k1 and k2 in terms of n and k? The answer is k1...

The field makes an angle θ with side 1 and the area of each face is A. In symbolic form, find the electric flux through (a) face 1, (b) face 2, (c) face 3, (d) face 4 and (e) top and bottom. My professor got: a=EAcosθ b=-EAsinθ c=-EAcosθ d=EAsinθ e= 0 I understant why e=0 but for the...

I am in need for some help for a lab report. The issue has happened because there is a lab of 20 students that is being led by a recently retired NASA physicist trying to lead a team of graduate student (or camel jockeys as he puts it) and the lab instructions are being botched horribly...

A subway trains starts from station A with a uniform acceleration of .5m/s and attains full speed after 50 seconds. It travels at full speed for 120 seconds then is brought to rest at station by by the application of brakes which provides a acceleration of -2.50. Find the distance between A...

Homework Statement Two concentric spherical shells carrying uniformly distributed charges +Q and -Q at radii a and b, respectively (b>a). Now, they are immersed in a uniform magnetic field pointing along the z-axis. Find the angular momentum of the fields.Homework Equations No need. (I know...

Hi! The velocity field as a function of poisition of an incompressible fluid in a uniform acceleration field, such as a waterfall accelerated by gravity can be found as follows: The position is \vec{x}. The velocity field is \vec{v} = \frac{d\vec{x}}{dt}. The constant acceleration field...

Homework Statement A point charge q, moving with uniform velocity \vec{v} = v \hat{z}, in the laboratory frame called \cal{K}. The charge is in the origin of the system at time t=0. Homework Equations Find scalar potential \Phi and vector potential \vec{A} both in the frame in which the...

Homework Statement It is common to see birds of prey rising upward on thermals. The paths they take may be spiral-like. You can model the spiral motion as uniform circular motion combined with a constant upward velocity. Assume a bird completes a circle of radius 6.00m every 5.00s and rises...

Homework Statement A parallel-plate uniform electric field with a strength of 325 N/C is oriented as shown below. An electron (q = 1.6 × 10-19 C, m = 9.11 × 10-31 kg) is released (from rest) inside the field and moves 3.2 cm to the left. What is the final speed of the electron at the end of...

How is uniform electric field produced? Consider two parallel plates with one +ve and the other -ve. The field depends on the charge producing the field and the distance to a point in between the place. However, in this case, the distance decreases and hence the field decreases and is not...

Homework Statement An electron is projected with an initial speed v_0 = 1.60 * 10^6 m/s into a uniform field between two parallel plates, separated by a distance of 1cm, and each plate is 2cm across. Assume the field outside the plates is zero. The electron enters the field at a point midway...

How exactly does radius affect centripetal acceleration? In one formula we have (a=v^2/r) which implies inversely proportional, while in the other we have (a=(w^2)*r) which implies directly proportional. I understand that increasing r increases velocity (v=w*r) which means the right answer is...

Hi, I don't know what I'm doing wrong but these significant figures seem to be screwing me up. Problem: A bike rider accelerates constantly to a velocity of 7.5 m/s during 4.5 s. The bike's displacement is +19 m. What was the initial velocity of the bike? The textbook says the answer is 0.94...

Homework Statement A very small sphere with positive charge 6.00uC is released from rest at a point 1.20cm from a very long line of uniform linear charge density 4.00uC/m.What is the kinetic energy of the sphere when it is 4.80cm from the line of charge if the only force on it is the force...

Homework Statement A car decelerates uniformly and comes to a stop after 10 s. The car's average velocity during deceleration was 50 km/h. What was the car's acceleration while slowing to a stop? {Since the acceleration is UNIFORM (constant), use vavg = (v0 + v)/2... } Homework Equations The...

Homework Statement A rod 16.0 cm long is uniformly charged and has a total charge of -21.0 µC. Determine the magnitude and direction of the electric field along the axis of the rod at a point 42.0 cm from its center.Homework Equations The Attempt at a Solution The equation I am advised to use...

Homework Statement A boy ties a rock to a 0.95 m string and swings it in a horizontal circle directly over his head so that it completes one revolution every 0.75 s. What is the tension in the string? So we know r and we can calculate V, but that's all I can deduce Homework Equations...

Homework Statement Let Yn be uniform on {1, 2, . . . , n} (i.e. taking each value with probability 1/n). Draw the distribution function of Yn/n. Show that the sequence Yn/n converges in distribution as n → ∞. What is the limit? Homework Equations So Yn has c.d.f Yn(x) = |x|/n where |x| is...

Homework Statement See: https://aapt.org/physicsteam/2012/upload/exam1-2011-1-3-answers_1.pdf Number 14 Homework Equations None that come to mind The Attempt at a Solution I think this is a conceptual question where each needs to be more proportionally spread apart because it...

Homework Statement I am trying to derive the formula a_r=\frac{v^2}{r} for uniform circular motion (for personal understanding, this is not an assignment). But am having some difficulty. I have seen other proofs, but I want to know why my approach is wrong. The Attempt at a Solution...

If there is a uniformly distributed load due to gravity on a truss, how do I convert this into point forces on the three pin joints on the truss? I am having trouble trying to work it out as I'm pretty sure there will be both forces in the x and in the y for each of the joints, but I can't...

Homework Statement A uniform 250 kg beam is supported by a cable connected to the ceiling, as shown in the figure. The lower end of the beam rests on a rough, horizontal floor. What is the magnitude of the tension in this cable? Image of the problem...

Homework Statement Is there any real difference between uniform motion and uniform velocity? Am asking this question because the defination of the two concept are complicating. Homework Equations The Attempt at a Solution Uniform motion can be defined as a motion which covers...

Homework Statement https://dl.dropbox.com/u/63664351/Physics/Electromagnetic%20Induction.PNG https://dl.dropbox.com/u/63664351/Physics/Electromagnetic%20Induction%20Answers.PNG Homework Equations W=mas. Unknown relation between W v and BThe Attempt at a Solution dW = m a ds = m dv/dt ds dW/dv...

Coulomb's Law F = kqq/r^2 Why does the intensity of a uniform electric field not get weaker in the middle? I would understand this if the intensity over distance was a linear function, but it isn't. The force near one of the plates would approach infinity, because r^2 is so small... but in...

I am having trouble puzzling this one out. What I am trying to understand is why the tension of a rope is uniform throughout (even when there is mass). So I have knowledge that tension is in fact not a force (as it is a scalar quantity). You have two people pulling on a rope in opposite...

Was not sure whether to post this here on the general forums, as it does kind o relate to coursework, just not directly. The four equations of uniform accelerated motion. Can you use them to find the velocity and displacement at any specific time by simply just using 't' as the time you are...

Consider the sequence $\{f_n\}$ of complex valued functions, where $f_n=tan(nz)$, $n=1,2,3\ldots$ and $z$ is in the upper half plane $Im(z)>0$. I want to show two facts about this sequence: 1) it's uniformly locally bounded: for every $z_0=x_0+iy_0$ in the upper half plane, ther exist...

Hello, Homework Statement A uniform bar of mass m is hinged to the ceiling and rests on a smooth floor at an angle α with respect to the vertical axis (please see attachment). A thin sheet of paper, with coefficient of friction μ, is inserted between the floor and the bar. What is the...

Let X be a set, and let fn : X---> R be a sequence of functions. Let ρ be the uniform metric on the space RX. Show that the sequence (fn) converges uniformly to the function f:X--> R if and only if the sequence (fn) converges to f as elements of the metric space (RX, ρ). [Note: the ρ's should...

Homework Statement For question 25.15 in this link: http://people.ischool.berkeley.edu/~johnsonb/Welcome_files/104/104hw9sum06.pdf I have some questions about pointwise convergence and uniform convergence... Homework Equations The Attempt at a Solution Our textbook says...