Homework Statement
A ball of mass M and radius R initially slides with speed vo but without rotating on a horizontal surface with friction.
Without knowing anything about the nature of the frictional force, find the speed of the ball when it begins to roll without slipping.
Homework Equations...
Steady state is defined as the state at which at the temperature attained becomes constant. To say, there is no decrease or increase in temperature. It can also be defined as the state where the heat generated is equal to the heat dissipated. I have been capturing thermal images of a bearing in...
The question says:
Imagine a solid disk, made of uniform material, a radius R and thickness L. What is the ratio of L/R if the moment of inertia of this disk about the axis passing through the center and perpendicular to the plane of the disk is the same as the moment of inertia about the axis...
Homework Statement
suppose f is a differentiable function such that f(g(x)) = x and f'(x) = 1 + [f(x)]^2. Show that g'(x) = 1/(1+ x^2)
Homework Equations
The Attempt at a Solution
since f(g(x)) = x, i think that f is the inverse of g.
so f = g{inverse}
f'(x) = f'(g(x)) *...
hi all, can someone please explain to me why the S=1 state has three projections, i don't understand how the up down coupling produces a total spin of 1 in the triplet but then seems to produce a total spin of 0 in the singlet state with the same orientation.
cheers
hello everyone.
my first post here. I apologize, if i make something stupid.
I am a third year undergraduate. I took a course in quantum mechanics last semester, and i am taking one more course this semester, and i must admit, i am not very fluent in the realm of quantum mechanics.
my...
LET, Lorentz ether theory, is identical to SR but invokes an ether as the cause of length contraction and time dilation with motion through the ether. With it, there are no strange conceptualizations according to each observer's own particular reality for what they observe of other frames, but...
Is "Infinity" only a mathematical concept or is there anything infinite in reality?
I mean ∞ is indeterminate in a way such that any of the following expressions can be constructed:
∞ - ∞ = 1,
∞ - ∞ = 0
∞ - ∞ = ∞
Is there anything in reality that can actually behave like that?
This is a general question about tension.
Two mass m1 (10kg) and m2 (15kg) are pulled with a pulling force of 50N.
It was explained to me that the tension in mass 1 acts to the right and the tension in mass 2 acts to the left, why??
If they are being pulled in the same direction(to the...
Hey people,
I searched by this question in the forum but don´t found the answer. I have a simple doubt about this theory in mechanic.
The question is: There is negative force?
I know that when I am working in math with a vector that represents a force I can use the negative signal to...
I just started learning Implicit Differentiation and came across an issue. I took the derivative of the circle function:
y2 + x2 = 1
y' = -x / y
This all made sense until I solved the circle function for y, which gives:
y = \pm\sqrt{1 - x^2}
For any x > 1, it's going to be complex. So, does...
When a block of mass M is suspended by a long wire of length L, the elastic potential energy stored is given by 1/2 x Mg x l, where l is the elongation produced.
The loss in gravitational potential energy of the mass-earth system is Mgl. I wonder where does the other Mgl/2 go?
Hello guys, I've been thinking about a concept, and to some of you, it may seem like slightly different version of reincarnation, but take it as you may because I'm an atheist and I don't believe in afterlife, and this may sound contradictory to what I'm about to say..
Bare in mind that the...
I have a guitar with a pedal and amp. If i have the stuff close together (including the wires) won't the electric/magnetic fields have an affect on these devices?
Also, if i have the wire that plugs into my guitar coiled, won't that create an inductor type of effect?
Here is my question(It is not a homework problem.)
What does it mean to multiply two matrices? I know how to do the operation but what is the concept behind it? I understand dot products and vectors. Matrix multiplication can be seen as a dot product operation of row vector of vector A to...
Homework Statement
Uxx + 3*Uyy - 2*Ux + 24*Uy +5*U = 0
Reduce this to the form Vxx + Vyy + C*V = 0
U = V*e^(alpha*x + Beta*y)
y' = gamma*y
Ok, the problem I am having is I don't know what to do with the gamma, however I am off by a factor of 3 in my answer for Vyy, so I know gamma...
Me and my brother - the armchair physicist that we are came up with this! We are interested if the professional community has any concepts of this nature. Here we go...
Newtonian physics provides a framework of concepts to explain reality at what you could call our 'normal' level of measured...
Homework Statement
This was a concept question my lecturer gave us, and although he tried to explain it thoroughly, I still didn't get it. So I was hoping someone could help me out.
There are 2 parts to this question
Firstly a spring balance is attached hanging from a celling using a...
Homework Statement
A rocket moves upward, starting from rest with an acceleration of +30.0 m/s2 for 5.00 s. It runs out of fuel at the end of this 5.00 s and continues to move upward for a while. How high does it rise above its original starting point?
Homework Equations
Hmm this is...
First I need to post some pages of a book that I'm reading...
http://img824.imageshack.us/img824/5153/42785753.png
http://img824.imageshack.us/img824/5153/42785753.png
EQ 34
[PLAIN][PLAIN]http://img525.imageshack.us/img525/2407/49364360.png
Now I have some questions...
1...
\operatorname{div}\,\mathbf{F}(p) =
\lim_{V \rightarrow \{p\}}
\iint_{S(V)} {\mathbf{F}\cdot\mathbf{n} \over |V| } \; dS
This is the definition of divergence from wikipedia...
The divergence is property of a point in space. Is that right?
If the divergence is zero at a point, that...
Very basic (I'm a high school student):
Background
I'm studying a chapter in my textbook titled 'Energetics'. It touches on enthalpy changes.
It mentions that bond-breaking processes are associated with energy absorption and bond-forming processes are assciated with energy emission...
Consider a simple circuit of Real inductor exited by sinusoidal Source.
What is getting me into trouble is this.
1. What is the current through the inductor? Isn't it the same as that of resister,which is \phi phase lagging with the applied voltage. (Current is same in a series branch)...
Homework Statement
Double glazed windows are usually made of two glass panes with a thin layer of air sealed between the panes.
a) Why do these windows reduce heat loss to a much great extent than occurs if the double glazing is replaced by a thicker glass instead?
b) Why does the insulating...
Homework Statement
A simple device that is used to test the strength of antifreeze in cars consists of a small tube that has several small, coloured spheres inside it. When antifreeze is admitted into the tube, some of the spheres will float, giving an indication of the strength of the...
I have been pondering about this for awhile now. If there are rocks on a boat (that's floating in a water) and one by one the rock is thrown onto the water. Does the water level rise or fall from the initial level?
I believe that it will rise but am not 100% sure.
Hello,
Im new to the forum, i joined to ask a question about a boat I've been obsessing about for awhile. My idea is an aluminum sail boat (27-40') that has its mast removed and replaced with say a 3-4kw vertical wind generator (350lb) i know that's a bit heavy but I am sure the wind forces are...
I have spent a good amount of time trying to understand how vectors relate to a system of linear equations. Much of the information I find online are proofs which simply confuse me. I love math, but it is an extremely difficult relationship for me. If anyone could put vectors into simple terms...
I think I'm more of a visual learner than the average person because I find books never provide enough pictures so I have to come up with my own mental image to represent the majority of the concepts I come across. An example is right now I'm trying to comprehend the concept of a joule second...
Homework Statement
Derive an equation for the constant net force acting on an object in terms of the object's mass, its initial velocity, final velocity and time interval during which net force is applied.
Homework Equations
Fnet=ma
a=v2-v1/t
The Attempt at a Solution...
The "logically implies" concept in first-order logic
I've been reading about first-order logic (in Enderton, and in Rautenberg) and I've gotten to the point where (I think) I understand what it means for a set of formulas to "logically imply" another formula. I'm a bit confused by one thing...
Homework Statement
I am given a symmetric tensor A, meaning A^{\mu\nu}=A^{\nu\mu} and I am given an asymmetric tensor B, meaning B_{\mu\nu}=-B_{\nu\mu}
Now I need to show that:
A^{\mu\nu}B_{\mu\nu}=0 0)
Homework Equations
We know that an asymmetric tensor can be written as...
I read somewhere that the term for a concept that we don't try to define is "primitive". Primitives are supposed to be to definitions what axioms are to theorems. I also read that when one of these deliberately undefined concepts is explained (but not really defined) by a description in plain...
I decided to draw this up when the idea came to me just so I could visualize it.
I am no rocket scientist so I thouhgt I would post the concept and get some feedback:
Why are sp2 carbons more downfield than sp3 carbons? Is it because the bond length of sp2 carbons is shorter (electrons are more localized-thus more shielded)?
Homework Statement
Make a change of variable that transforms the quadratic form with no cross-product term:
9x1^2 - 8x1x2 = 3x2^2
Homework Equations
A = PDP^-1
Q = y^TDy
The Attempt at a Solution
I know the answer. This is a question regarding concept.
The eigenvalues for...
Mass is the amount of matter in an object. Or at least that's the classical definition. But there are particles of matter that don't have mass. How is that possible if it's a particle of matter? Plus how can the theoretical Higgs give "stuff" to matter if the matt er is matter and therefore has...
Does the direction of friction change based upon where the force is coming from? My brother and I are discussing it...
Specifically...if a car is operating under its own power vs. a car being towed
The two scenarios are such...
A car under its own power...the frictional force is static...
About whether energy is stored in the charge or the field, in Griffiths EM textbook, i found this:
"...(for electrostatics) it is unnecessary to worry about where the energy is located. In the context of radiation theory it is useful(and in General Relativity it is essential) to regard the...
I am having difficulties with understanding some aspects of inner products. For example,
||u||² = <u,u>
Where <u,u> denoted the inner product of "u" with itself.
My problem here is that we can define any inner product we wish. For example, if I defined,
<u,v> = u1v1 + 3(u2v2)
Then...
Hellow
My question is about Complex number.
I can solve and calculate complex numbers. But i m still Unsure about the Concept of Complex number.
I have read many articles and they say that a symbol i is added to make the solutions possible.\
In communication engineering, as well as...
Homework Statement
Suppose a record turntable rotates at constant angular velocity.
a) Does a point on the rim have radial and/or tangential acceleration?
b) If the turntable's angular velocity increases uniformly, does the point have radial and/or tangential acceleration?
c) For which...
Two blocks placed one on top of the other are lying on a horizontal smooth surface. The coefficient of friction between the blocks is \mu.
Case 1: Horizontal force F is applied to the lower block (Fig. 14).
[PLAIN]http://www.monbattle.com/1.jpg
Please help me to find out how they have...
It has been told to me that atmosphere exert a pressure (known as atmospheric pressure) on the surface (I'll take water surface here). And as we go down into water (any fluid, but for instance I'm taking water) the pressure increases. And this increase in the pressure is independent of the shape...