A uniform is a type of clothing worn by members of an organization while participating in that organization's activity. Modern uniforms are most often worn by armed forces and paramilitary organizations such as police, emergency services, security guards, in some workplaces and schools and by inmates in prisons. In some countries, some other officials also wear uniforms in their duties; such is the case of the Commissioned Corps of the United States Public Health Service or the French prefects. For some organizations, such as police, it may be illegal for non members to wear the uniform.
Homework Statement
[/B]Homework Equations
Poynting's Theorem S = 1/μ0 (E x B)
Momentum = p = μ0ε0 ∫ S dτ
The Attempt at a Solution
My strategy was to treat the hollow sphere as a point charge (by Gauss' Law), so E = 1/4πε0 Q/a2. I believe the magnetic field would be B = 2/3μ0M (where M is the...
Is it possible to derive the standard normal distribution from using polar form p = r*e^(i*v) to distribute uniform points along the contour of a circle?
I've read that it is possible to randomize points like that using X and Y values with normal distribution by normalizing each point, but I...
I have been working with some Herschel images and I am finding it difficult to extract the astronomical sources from the image. The image background is extremely non uniform so i am not able to differentiate between the background and the source. I used some tasks in HIPE like source extractor...
Hi, I'm developing a new bio reactor, which in this instance you can think of as just a perspex fish tank. But have come across an unusual requirement to apply a roughly 0.01T magnetic field across the volume of the tank with mainly water in it. No position in the tank can be less than 0.08T and...
Hi, I have been studying up on circular motion in the vertical plane and I am happy with all the math/theory that I have read explaining the normal force and weight force and the feeling of being "heavier" and "lighter". My question is about the top of the hill/ride, The forces acting on you at...
Hello, from time to time I got question in physics for which I can't readily find answers. I hope I can get answers here. Here is my current one: Usually textbooks state that space contracts in direction parallel to direction of motion. It sounds strange, because time changes uniformly, and as I...
Hi, I'm having an issue with finding a starting point for the following problem. I've looked through my magnetism and electrodynamic notes but was unable to find a starting point. Could someone please help direct me on the correct path? Thank you.
Homework Statement
A thin circular disc of...
Homework Statement
For a scene in a movie, a stunt driver drives a 1.20✕ 103 kg pickup truck with a length of 4.65 m around a circular curve with a radius of curvature of 0.333 km (Fig. 7.29). The truck is to curve off the road, jump across a gully 10.0 m wide, and land on the other side 2.96 m...
Hi everyone,
1. Homework Statement
Homework Equations
1) centripetal acceleration = v^2 / R
2) centripetal acceleration = 4 pi^2 R / T^2
3) average velocity = displacement / time[/B]The Attempt at a Solution
For #1a I first found the displacement of A to B. And then divided that by...
Hey guys!
What would be the gravitational effect of Earth on it's surface, if somehow the density of mass was uniform and equal to 2/5 of the real value? Assuming that the size e shape os the planet doesn't change.
We have never discussed about constant mechanical power transfer for the linear case, as against rotational well documented gear transmission. The energy acquired by linear motion, if varies linearly, then 0.5mv^2 must have constant differential. Trying it, if u=0, v=at...
Homework Statement
Picture-
https://flic.kr/p/zi1ays
The rubber stopper will be spun at a constant speed in a horizontal circle. The hanging mass is only in contact with the string.[/B]
A) For the rubber stopper, state the forces and what they are exerted by and on
B) Does the net force have...
Homework Statement
Marlene rides her bicycle to her friend Jon's house and returns home by the same route. Marlene rides her bike at constant speeds of 6 mph on level ground, 4 mph when going uphill, and 12 mph when going downhill. If her total time riding was 1 hour, how far is it to Jon’s...
Homework Statement
Find an example of a sequence ##\{ f_n \}## in ##L^2(0,\infty)## such that ##f_n\to 0 ## uniformly but ##f_n \nrightarrow 0## in norm.
Homework Equations
As I understand it we have norm convergence if
##||f_n-f|| \to 0## as ##n\to \infty##
and uniform convergence if there...
A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X and Y represent the...
Hello! (Wave)Consider the boundary value problem
$\left\{\begin{matrix}
- \epsilon u''+u'=1 &, x \in [0,1] \\
u(0)=u(1)=0 &
\end{matrix}\right.$
where $\epsilon$ is a positive given constant.
I have to express a finite difference method for its numerical solution.
How can we know whether it...
Homework Statement
A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X...
Homework Statement
This example is from 3rd edition of Griffiths' textbook. Ex. 5.8 on page 226
I understand that by reversing the direction of the current, sign of B is switched. but i can't get it that highlighted part. and why B doesn't have z-component?
Homework EquationsThe Attempt at...
Homework Statement
A particle with charge q and kinetic energy K travels in a uniform magnetic field of magnitude B. If the particle moves in a circular path of radius R, find expressions for speed, v, and mass, m.. (Use any variable or symbol stated above as necessary.)
Homework Equations...
Homework Statement
Find the potential outside a charged metal sphere (charge Q, radius R) placed in an otherwise uniform electric field E0. Explain clearly where you are setting the zero of potential.
2. The attempt at a solution
So for this problem I figured I could exploit superposition and...
Homework Statement
"Julie drives 100 mi to her Grandmother's house. On the way, she drives half the distance at 40 mph and half the distance at 60 mph. On her return trip, she drives half the time at 40 mph and half the time at 60 mph."
Homework Equations
a. "What is Julies average speed on...
Homework Statement
A particle with a mass of 1.5×10−5kg and a charge of +2.9 μC is released in a (parallel plate) uniform horizontal electric field of 11 N/C .
How far horizontally does the particle travel in 0.40 s ?
Homework Equations
I think some of the kinematic equations are needed, but...
Ok we know that the electric field(uniform or non uniform) is a conservative field.
Imagine three horizontal electric field lines in '+X' direction separated by unequal distances let's say line 1 and 2 is separated by distance 'a' and line 2 and 3 is separted by some distance 'b' such that...
Homework Statement
Use the principle of moments and take moments about A to show that the weight of the object O is 19 N.Homework Equations
Moment=Force x perpendicular distance
The Attempt at a Solution
Vertical component of tension= TsinA...
Hi, I have a quick question.
If both X and Y are uniformly distributed on the unit interval [0, 1]. Can we prove that the joint distribution of (X, Y) is uniform on the unit square [0, 1]×[0, 1]? Do we need any condition to ensure the result, such as Independence between X and Y?
Thanks.
Not sure that I've phrased the question correctly. If you have a series of p values from a series of tests, and they're all meant to be uniformly distributed, why do you have to do a KS test on that, and not another Chi-squared test?
The following is an extract from a test program's output:-...
Homework Statement
i was going through uniform circular but a confusion popped out of my head .
as i have read before the Rutherford atomic model was only rejected due to
the fact that electrons moving in circular orbits need to accelerate constantly
to maintain a uniform speed but the...
Homework Statement
Kim has her coffee cup on her car's dash when she takes a corner with radius 4 m and 20 km/h. What is the minimum coefficient of static friction which would allow the coffee cup to stay there without slipping?
Homework Equations
Can someone show me the steps in how they...
Homework Statement
A particle is moving along a straight line such that when it is at the origin it has a velocity of 5m/s. If it begins to decelerate at a rate of a=(-2.5v^(1/2)) m/s^2, where v is in m/s, determine the distance it travels before it stops
Homework EquationsThe Attempt at a...
Homework Statement
Find the coordinates of the centroid of the uniform area.
Homework Equations
equations for centroid coordinates at the top of my paper.
The Attempt at a Solution
This technically isn't a coursework or homework problem:
I have a uniform Joint density function for the lifetimes of two components, let's call them T1 and T2. They have a uniform joint density function, both are positive it follows, and the region is 0<t1<t2<L and L is some positive constant...
Homework Statement
Random variable X is uniformly distributed on interval [0,1]:
f(x)=\begin{cases} 1 & \text{ if } 0\leq x\leq 1\\ 0 & \text{ else} \end{cases}
a) Find probability density function ρ(y) of random variable Y=\sqrt{X} +1
I tried like this. Is it good, if no why not...
<< Mentors have notified the OP to show their Attempt at a Solution >>
1. Homework Statement
A uniform rod of length L1 = 1.5 m and mass M = 2.8 kg is supported by a hinge at one end and is free to rotate in the vertical plane. The rod is released from rest in the position shown. A particle of...
I recently took an exam in my engineering mechanics class and passed the exam except for one question. I have been trying to solve this question after the fact and determine the solution, however neither I nor several engineering tutors have had any success. The professor refuses to give...
Find the Range of Uniform convergence of $ \zeta\left(x\right) = \sum_{n=1}^{\infty}\frac{1}{{n}^{x}} $
Using the Weierstrass-M test, I get this converges for $ 1 \lt x \lt \infty $
But the book's answer is $ 1 \lt s \le x \lt \infty $? I have scoured the book but can't see why they say it...
Homework Statement
A police officer in hot pursuit drives her car through a circular turn of radius 356 m with a constant speed of 70.9 km/h. Her mass is 57.1 kg.What are (a) the magnitude and (b) the angle (relative to vertical) of the net force of the officer on the car seat? (Hint: Consider...
Homework Statement
A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t1 = 3.30 s, it is at point (5.10 m, 6.80 m) with velocity (3.90 m/s)## \hat j ## and acceleration in the positive x direction. At time t2 = 9.90 s, it has velocity...
Homework Statement
A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t1 = 3.30 s, it is at point (5.10 m, 6.80 m) with velocity (3.90 m/s) ## \hat j ##and acceleration in the positive x direction. At time t2 = 9.90 s, it has velocity...
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 of 1.50 m/s, as shown in the figure. What is the measure of angle θ?
What is given:
m = 0.020kg
v = 1.50 m/s
L = 1.2 m
Homework Equations
Lengths
L = 1.2m
Lsinθ = r...
I would appreciate it if someone could explain the steps in the reasoning of the following statement. This is not a homework assignment or anything.
Let ##U \subseteq R^{n}## be compact and ##f:U\to R## a continuous function on ##U##. However f is not uniformly continuous.
Then there exists an...
Homework Statement
A particle moving along a straight line can have nonzero acceleration even when its speed is zero (for instance, a ball in free fall at the top of its path). Can a particle moving in a circle have nonzero centripetal acceleration when its speed is zero? If so, give an...
Homework Statement
An object is moving uniformly in circles with a radius of 5m and a frequency of 2 Hz. What is its instantaneous velocity?
Homework Equations
[/B]The Attempt at a Solution
The problem i am dealing with is the frecuency.
I am not here for an answer or to cheat. I am...
Homework Statement
This isn't a homework problem, but I was just thinking of the following question:
Suppose that a merry go round spins with a constant speed (so its radially accelerating towards the center), and a man want to jump onto the merry go-round while its spinning. In what way...
I noticed that uniform continuity is defined regardless of the choice of the value of independent variable, reflecting a function's property on an interval. However, if on a continuous interval, the function is continuous on every point. It seems that the function on that interval must be...
1. The problem
The answer is A.
Homework Equations
x = Acoswt
y = Asinwt
The Attempt at a Solution
C is not correct because the x & y positions are in terms of sin & cos, so the acceleration can't be constant.
D is not correct because x & y are oscillating in value.
E is not correct because...
The uniform bar in the attached diagram pivoted onto a wall on its center of mass and rotated an angle theta>0 from the horizontal should theoretically stay in static equilibrium because all torques are balanced, right?
How come trying to do this in real life usually leads to the bar swinging...
It's hard to type this out as there is a diagram and notation I can't find on the key board so I've attached an image of the question and answer. I've explained my solution below however I've also attached an image if it's too confusing with the lack of symbols!
Problem involves uniform...
Currently doing my A2 Levels and have just been revising over electromagnetic induction. The general consensus seems to be that current can only be induced in a changing magnetic flux.The textbook I'm using constantly refers to cutting a magnetic field, i.e. moving a wire relative to a field, to...
Problem statement, equations, and work done:
A perfectly conducting cube is placed in a uniform electric field in the x direction (see attached).
Step1 : Use Gauss's law to determine the electric field inside the cube.##\phi_E = 2E(r)A = \frac{q}{\epsilon_0} →...