Cube Definition and 593 Threads

To which of the two cubes has a larger moment of inertia? I think it's the right one because We know that the minimal moment of inertia is throw the principal axes that goes throw the center of mass. in the right one , the rotation isn't throw the principal axes . there is also the following...

Homework Statement A 75 gram ice cube at 0 degrees Celcius is placed in 825 grams of water at 25 degrees C. What is the final temperature of the mixture? Homework Equations What is the best formula to use in this question? The Attempt at a Solution I have attempted this problem...

Hello. I have been set a problem by a student. It appears to be fairly old, but I cannot find much info in the web. Here it is: A 1" cube has three holes drilled in it, each hole connecting the centres of opposite faces, thus forming a cavity in the centre joined to the surface by six holes...

Homework Statement A cube of 15 cm is floating at the surface between water and oil. The oil has a density of 810 kg/m3. If the cube floats so that it is 52% in water and 48% in the oil, what is the mass of the cube and what is the buoyant force on the cube? Homework Equations...

for the following SC cube, find the miller indexes for the planes: FAN KFA HAN http://lh6.ggpht.com/_H4Iz7SmBrbk/SvhiU8OeicI/AAAAAAAAB8M/o8QPR2ht2gA/Capture.JPG what i leared to do was find the points that the plane intercepts the x,y,z axis, i chose axes such that x+ is pointing...

what method can be used to keep a regular 2cmx2cmx2cm ice-cube from freezing. i need to find a way to keep an ice cube solid for 10 hours after taking it out of the freezer without using electricity or by adding more ice etc. the question comes from my chemistry lecturer so i would expect it to...

Homework Statement Write down cycle decompositions of all 24 of the rigid motions of the cube by regarding each rigid motion as a permutation of the 6 faces. Then, this is a subgroup of S_{6}, called S_{CUBE}. Prove or disprove that S_{CUBE} is a subgroup of A_{6} Homework Equations...

Homework Statement A cube of sides a*a*a is in 3 dimensional space. All eight of its corners have integer coordinates. Prove that a is an integer. Homework Equations - The Attempt at a Solution First, I considered three corners of the cube p, q and r, with these, two vectors...

Homework Statement A particle charge of q is placed at one corner of a Gaussian cube. What multiple of q/\epsilon_0 gives the flux though each cube face not making up that corner? The solution is amazing - stack up eight cubes around the corner and find the flux through each individual cube...

A sheet of material 1000 cm^2 is given to you to construct a box/cube with no lid. What is the maximum volume of the cube that can be created in cm^3?

Homework Statement A point charge of magnitude q is at the center of a cube with sides of length L. Part A What is the electric flux Phi through each of the six faces of the cube? Part B What would be the flux \phithrough a face of the cube if its sides were of length L1...

In the Spanish second edition of "Electricity and Magnetism", Berkeley Physics Course, volume II, page 27, Purcell states that a cube with a perfectly constant density does not attract external bodies as if its mass was concentrated in its geometrical center. However he does not say how does...

You have a 3x3x3 cube, built with 1x1x1 bricks (27 bricks in total). You remove two diagonally opposite bricks (long diagonals). Can you build the remaining figure from 2xx1x1 bricks?

I think I've managed to construct a symmetric set of functions, that let's a x, x^2, x^3\; double an algebraic number. I have a series that goes {6,9},{27,54} already. If I set x = 3, then I replace these terms with \; \{ 2x, x^2 \} ; \{ x^3, 2x^3 \} I have the series and a symmetric set...

Note this is not a homework assignment. I was generally learning about integrating volumes and thought that after being able to integrate the volume of a cylinder \int^{L}_{0}\pi r^{2} dL That I maybe could integrate the volume of a cube in a simple way: \int^{s}_{0}s^{2} ds Yet that results...

i need to figure out the size and direction of the force on each segment http://i32.tinypic.com/1075g8g.gif in cd segment there is a 45 degree between the electricity and magnetic field so i need to have size 40*sin 45 why they write only 40 ??

The Problem Hi, I just got this question in a physics class that I am taking, I have been looking at it for about 30 minutes and can't seem to crack it, probably doesn't help that I'm learning it in another language but anyways. A Ice cube of temperature 0 degress Celsius is floating on water...

hi, Is there any way, to find a point whether it lies inside a irregular cube. other than finding volume. where cube can be rotated in any direction.

Hey guys. I forget where I found this problem but it goes as follows: Prove that \sqrt[3]{2} cannot be represented in the form p+q\sqrt{r} where p,q, and r are rational numbers. It is easy to show that \sqrt[3]{2} is irrational, so it cannot be put in the form m/n, where m and n are...

can someone help me solve this question as fasd as possible?? im really headache wif it... thx~~ determine the 3 cube roots of 3-i over 3+i giving the result in modulus argument form,express the principal root in the form a+Jb

Hi everybody some help needed here! A cube, mass M move with v0 collide with small object "fixed" to the surface in Point P that make it pivot over its side So far I think I understand: During the impact there is no conservation of KE L Angular Momentum : there is an unknown force F...

Homework Statement A cube of ice whose edge measures 20.8 mm is floating in a glass of ice-cold water with one of its faces parallel to the water's surface. How far below the water surface is the bottom face of the block? Homework Equations P=F/A, P2-P1=\rhogh The Attempt at a...

Homework Statement I have to use stokes' theorem and calculate the surface integral, where the function F = <xy,2yz,3zx> and the surface is the cube bounded by the points (2,0,0), (0,2,0),(0,0,2),(0,2,2),(2,0,2),(2,2,0),(2,2,2). The back side of the cube is open. [/B] Homework...

One end of a light thin string is attached to the bottom of a 3.7 g, 42 cm3 cork. The other end is attached to a 58 g cube. The arrangement is placed in water and it is found that with 82% of the cork submerged the cube is held in equilibrium. What is the density of the cube in g/cm3? I need...

Trying to beat the heat of the last summer, a physics student went to the local toy store and purchased a plastic child's swimming pool. Upon returning home, she filled it with 200 liters of water at 25oC. Realizing that the water would probably not be cool enough, she threw ice cubes from her...

I am trying to get a hang of miller indices and doing some practice. So here it is : What would be the miller indices of the plane containing the x-axis and equally inclined to y and z axes? (I have uploaded the diagram and highlighted the plane to clarify) Attempts : I first try to...

Homework Statement At each point on the surface of the cube shown in the figure, the electric field is parallel to the z axis. The length of each edge of the cube is 3.7 m. On the top face of the cube = -40 N/C, and on the bottom face of the cube = +10 N/C. Determine the net charge...

Homework Statement A point charge q is placed at one corner of a cube of edge a. What is the flux through each of the cube faces? Homework Equations The Attempt at a Solution I drew a diagram of the situation. I'm pretty sure that I should use Gauss' Law and some symmetry...

Homework Statement What is the flux of vector field F = xi + zj out of the cube that has corners in (0,0,0),(1,0,0),(0,1,0),(0,0,1),(1,1,0),(1,0,1),(0,1,1),(1,1,1). The Attempt at a Solution Is it 1? Divergence = del dod F = 1 Triple integral of divergence= SSS 1 dx dy dz each from 0...

Homework Statement Find the resistance between the points a and b for the resistor network shown. http://s5.tinypic.com/1073kvd.jpg The Attempt at a Solution I changed to 3D cube into a 1D square and each side of the square contains 3r because each side of the cube contains an r(for...

given a cube,each side with a lenth of A, placed at with its back left hand bottom corner at (0,0,0). find the electric flux passing through the sides if the electric field is a) E=(-3x)i + (2y)j + (4z)k b) E=(sin(pi*x/A)i + cos(pi*y/2A)j for a) since the area of each side is A2...

Could somebody please tell me how can one divide a large cube into 125 smaller cubes of equal size? I can very well understand i can divide a large cube into 225 smaller cubes because 15*15=225. I just HAVE NO ideas. You?

I'd be grateful if someone could help me with the problem below: A free-floating uniform cube with sides of length 2 is at rest, aligned with the coordinate axes, when it is subjected to an impulse along one edge of 3m, where m is its mass. What is the effect on its motion? (Its inertia...

A cube of wood measures 0.55 m on each side and has a mass of 133.1 kg. How far above the water is the top surface of the cube? Can someone help me out with this one

Homework Statement This is a three part problem. I have the first and third part down but I'm just wondering about the second part which is multiple choice. A cube has one corner at the origin and the opposite corner at the point (L,L,L). The sides of the cube are parallel to the...

Homework Statement If w is a complex cube root of 1, prove that x + wy + w^2z is a factor of x^3+ y^3 + z^3 - 3xyz, and hence factorise the equation completely. Homework Equations Complex cube root of 1 = -1/2 +/- 3^1/2/2 i The Attempt at a Solution Erm, I feel way over my head...

Homework Statement Homework Equations E * A The Attempt at a Solution I need to find the electric flux through each face. I am a bit confused. I believe the flux through sides 3 and 1 are zero because those sides are parallel to the electric field. The whole flux through the cube should be...

Homework Statement A positive charge is located at the center of a cube. Are the intersections of the field lines with a side of the box uniformly distributed across that side? Explain The Attempt at a Solution I'm trying to picture this in my head and I'm getting stuck. I know the field...

Homework Statement How much energy is required to change a 40.0 g ice cube from ice at -8.0°C to steam at 108°C? Homework Equations q=mct The Attempt at a Solution i remember one of our TAs going over something like this a long time ago..I think i have to like add up all the...

Homework Statement How to calculate moment of inertia of hollow cube. Homework Equations The Attempt at a Solution I guess that subtracting the moment of inertia of the inner cube from the moment of inertia of the outer cube is wrong. Even it is close to solution, what mass to put in...

Homework Statement Check the Divergence Theorem \int_V(\nabla\cdot\bold{v})\,d\tau=\oint_S\bold{v}\cdot d\bold{a} using the function \bold{v}=<y^2, 2xy+z^2, 2yz> and the unit cube below. Now when I calculate the divergence I get (\nabla\cdot\bold{v})=2y+2x+2y but Griffith's...

Homework Statement A charge q sits at the back corner of a cube. What is the flux of E through the opposite (front)side? Homework Equations Flux=q/ε_0 The Attempt at a Solution As the flux through the whole cube must be q/ε_0, I thought that for one side it would just be...

How many days does it take for a perfect black-body cube (0.0100 m on a side, 30 degrees C) to radiate the same amount of energy that a one-hundred-watt light bulb uses in one hour? If someone could point me in the right direction with how to go about solving this problem i would greatly...

Homework Statement Calculate the total flux of vectorF(x,y,z)=8x^2y i + 6yz^2 j + y^3z k outward through the cube whose verticies are(0,0,0), (1,0,0), (1,1,0), (0,1,0), (0,0,1), (1,0,1),(1,1,1), (0,1,1). Homework Equations \int\int \widehat{}F \bullet (-partial z/dx i -partial z/dy j +...

Homework Statement Find the flux of F over the surface of the cube with vertices ( \pm 1, \pm 1, \pm 1) using the outer normal. F(x,y,z)=(x+y)i+zj+xzk Homework Equations Flux of F over S is \iint F \cdot n dS The Attempt at a Solution I think the normal should be 1 in the...

I'm sitting here with my new 5x5x5 rubik's cube, and I was just wondering how many possible orientations there were. I THOUGHT: -Each corner has 3 orientations and 8 positions -Each middle side has 2 orientations and 12 positions -Each outer side has 2 orientations and 24 positions -etc etc...

Homework Statement a 100g granite cube slides down a 40 degree frctionless ramp. at the bottom, just as it exits onto a horizontal table, it collides with a 200g steel cube at rest. how high above the table should the granite cube be released to give the stell cube a speed of 150cm/s...

1. The diagram shows a strip of paper tape that has been pulled under a vibrating arm by an object moving at constant speed. The arm is vibrating regularly, making 50 dots per second. What was the speed of the object? A. 2.0cm/s B. 5.0cm/s C. 100cm/s D. 200cm/s Completely clueless...

I am asked to find the second derivative of the volume of a cube with respect to the length of a side. would my initial f(x)=x3/x ?? than just follow with the quotient rule to get f(2)(x)?

Homework Statement I am trying to find out when the denominator of this equation is zero so I can tell when the graph has asymptotes or holes. For squares I factor such as x2+2x-15 = (x+5) (x-3). How do I do that with a cube? Homework Equations (x-5) (x+3) X3-5x2+x-5