Axis Definition and 928 Threads

In the problem the book the book chose to use the axis in the left diagram... but why can you not use the coordinate axis from the right diagram?

Homework Statement A small object with mass 4.00kg moves counterclockwise with constant speed 4.50m/s in a circle of radius 3.00m centered at the origin. It starts at the point with position vector (3.00i+0j)m. Then it undergoes an angular displacement of 9.00rad. (a.) What it is position...

[b]1. Homework Statement A particle of mass can slide without friction on the inside of a small tube bent in a circle of radius r. The tube can rotate freely about the vertical axis, x3, and has a moment of inertia I3 about this axis. Homework Equations a) Derive the Hamiltonian for...

I am confused how they picked the direction right of block M1 to be -x and the downward direction of block M2 to be +x..? I didn't know that one could create two different coordinate axis. Correct me if I am wrong but it seems that if you are working with two diff body's that are not in...

We have a piece of a cylinder of infinite length and radius R, charged with a uniform and positive volumetric density of charge p. Compute: a) Difference of electric potential between the axis of the cylinder and its surface. b) Work to carry a charge q from the axis to the surface of the...

hi guys... i need ur help... i have to design a device that can sense a force in triaxial axis which are x,y,z. the straing gauge is located at x,y,z axis also. my problem is, for example if the force come from x axis,i don't want the y,z strain gauge sense the reaction, i just want x-axis...

Hi, I do not know anything about relays. I been trying for days to hook up a relay to turn on a light using an Axis camera with an I/O switch. This is the relay http://search.digikey.com/scripts/DkSearch/dksus.dll?Detail&itemSeq=105585863&uq=634536768231996536&DPU=submit This is the manual...

Hi Guys so I would really appreciate if I could get some help with this question I have, I have a test in a couple days! So we are learning about torque and there are a couple components of torque that I'm a bit confused about. 1. Is the axis of rotation a line or just a point? 2. Is...

For a 3x3 orthogonal matrix with determinant= -1 (which means rotation followed by simple reflection), is the axis of rotation the same as the plane of reflection ? My reasoning is follows (see attachment) Say you have two vectors with the same angle size (which i call A), same x-values...

The dipole moment of a water molecule is 6.2 x 10-30 Cm. Find the potential difference VB - VA between 2 points on the axis of the molecular dipole, where points A and B are 8.2 nm and 5.1 nm respectively from the center. Both points are closer to the positive end. I used the superposition...

I'm going to repost https://www.physicsforums.com/showthread.php?t=534598" in the maths subforum, that got no answers and guessed I'd try my luck here.

When we talk about supremum/infinum/etc, does it mean the largest/smallest number on the x-axis or y axis?? Ok so first my professor was explaining how when x^2 < 2 , the supremum is root of 2 (so he was talking about how the domain has a least upper bound). But then he said that when we...

Homework Statement find the point in this plane where it intersects the z axis (x=y=0). P = {<x;y;z;> = <1;-1;0;> + a<1;-2;0;> + b<2;0;-1;> , for all a,b} (by <l;m;n;> i mean to denote a column) Homework Equations The Attempt at a Solution I talked to my TA last friday and...

Given the matrix of rotation, what is the procedure to determine the axis of rotation ? Is there a set mathematical way to do it (like a formula), or is it something that you need to think about logically ?

What is an optic axis of a calcite crystal ?

A homework problem I am doing requires me to "calibrate" an axis. I think you use hyperbolas, but I am not 100% sure. The slope is 5/3. I think you put the hyperbolas at each whole number, then use the equation: t^2 - x^2 = s^2 so would it be 4? I don't know what exactly constitutes...

Hey guys I'm sort of new to this forum, but I heard it was good so I thought i'd post a few questions hereHomework Statement The first question I have is not really a problem, but more of a question on the problem itself. I have two 3d vectors which are then subtracted to form a 3d vector in...

A=2i-10k give the angle that A makes with the positive x-axis ? do i need to make x axis=i and i go A.B/AxB ?

oblique and horiz asymptotes, axis same transformations and other things. i do not understand these at all and the text makes no sense (see attachment). i can find the asymptotes of all types, but i do not understand how the methods i use work. please explain the methods and the reasoning...

Homework Statement If a solid is generated by rotating the line (x=4tan(y*pi/3)) on the y-axis. Find the volume between the area 0≤y≤1. Homework Equations I know that, when slicing a section (A(x)), I will generate a circle. This gives me two of the dimensions (by using area of a...

Hi, Let I^{\mu}_{\xi} denotes the inertia tensor of a system of N particles; each with mass m_{i} and \vec{r_{i}} represents the corresponding position vector with respect to an arbitrary point P. I^{\mu}_{\xi} can be written as: I^{\mu}_{\xi} = \sum_{i=1}^N m_{i} ( r_{i}^{2}...

I want to plot a bar plot using matlab. For example: x = [0.4 0.5 0.7 0.2 0.1 0.8] bar(x) ylim([0 1]) now I want the x-axis to intercept the y-axis at 0.5 so that any bars >0.5 lie above the x-axis and any bars <0.5 are below. Is this possible? Thanks.

Homework Statement A uniform cylinder, of radius 2a and moment of inertia $2Ma^2$ is free to rotate about its horizontal axis. A light, inextenzible string is wound round the cylinder and a particle of mass m is suspended on its free end. If the system is released from rest, find the...

Hello! I would be very happy if someone could give me a little advice or a hint about my problem. The problem: I have to analyze the impact (colision) of two rotating bodies around a separate fixed axis. The body #1 hits (when rotating) the stationary body #2, then they both start/continue...

Homework Statement A meter stick is freely pivoted about a horizontal axis at the 94.7 cm mark. Find the (angular) frequency of small oscillations, in rad/s Homework Equations I=Icm+md^2 \Sigma \tau=I \alpha mg*sin(\Theta)=-I(d^2\Theta/dt^2) The Attempt at a Solution 5.37 rad/s

A friend and I somehow got on this odd topic and we disagree on the answer. Here's the scenario we were thinking of. If we had 2 wheels that had the same physical dimensions of diameter and width, and the only difference was a considerable difference in mass, would one wheel spin longer on an...

If you were add axis labels to a polar plot what would you use for labels in place for a y-axis label and a x-axis label?

If a rod of length l is uniformly charged with charge q what will be the potential at point p? The point is on the axis of the rod.Distance between the rod and point is r. Also tell the concept behind this. Any help will be highly appreciated.

Can I treat "blocks" as a single axis of rotation? http://img171.imageshack.us/img171/2245/blockthingy.jpg Basically those A and B wooden blocks are pressed against two hardened steel plates through the tension of the bolt. My question, can I treat these blocks as a single point? For...

Can you do "sum of all moments" on a point that's not a rotational axis? For instance, in this structure, with the two wires holding the beam http://img228.imageshack.us/img228/3687/twowiresj.jpg Can I do sum of all moments on B? Or is it not allowed because it's not a pivot point?

http://imageshack.us/photo/my-images/195/spinner.png/ ^this is the object/spinner I am referring to. I am trying to code a physics based minigolf game in which a ball should be able to collide properly with the spinner object and the arms of it. However I am lacking in physical knowledge to...

Parallel axis theorem, cube! (Confirm) // Idisp = Icenter + mass[ (RdotR)*I - RcrossR ] So to test it out, I create a long box at the origin, and then a smaller box, half its width, so I can offset it along the x axis, and times it by 2, so it should equal the inertia tensor of the long...

Homework Statement given a package on a conveyor belt running at a constant veloctiy of 1.5m/s, 1.8m away from the origin. the conveyor belt is rotating origin as a pivot at angular velocity 6 rad/s. it rotates on z axis. calculate the relative velocity of the package from origin (Vp/0) and V...

Along the center of a very long solenoid tube the field strength is constant. At the ends of the tube, however, the field decays and drops off. Is there a simple way (mathematical solution or simple trick) to make the field perfectly constant (or to a fraction of a percent tolerance)...

Homework Statement http://img684.imageshack.us/img684/2763/wheelturning.jpg In the drawing is depicted a wheel with radius R (measurements in pic). The wheel rolls on a horizontal plane, across a straight path, without sliding. At a certain moment of the movement, the center of the wheel's...

Homework Statement Find the area of the surface generated by these equations around the y axis x=t2+1/(2t) y=4√t ; 1/√2≤t≤1 Homework Equations S=∫2\pi x√(dx/dt)2+(dy/dt)2)dt The Attempt at a Solution dx/dt=2t-1/2t2 squaring that, 4t2-2/t+1/(4t4) dy/dt=2/√t squaring that , 4/t...

Homework Statement there's a composite beam that's wood on top (150mm along the x axis, 250 along the y) and a little piece of steel along the bottom (150mm along the x, only 10 along the y). Ew is 10,000MPa, Es is 200,000MPa (these are the elastic moduluseseses). the beam is to be analyzed...

Homework Statement Here is the problem : Find the volume of the solid generated when the area bounded between the following functions rotates along the y=4 line. Functions: y=x^3 y=4x Homework Equations Functions...

I'm stuck on how did the author managed to convert the axis angle to a 4x4 homogenous matrix. Here's the code below. The bolded ones are the one I'm struggling at right now. Before he use the code above. He converted the axis angle to quaternion first which is the one below. I somehow managed...

Why the plane of the rings is vertical to the rotation axis of Saturn? I don't think this is a coincidence, because the orbits of the 8 planets in our Solar System is roughly in a plane, and some galaxies are like a plate, so does the accretion plane of the black hole. But as we know...

Find the volume of the solid generated by revolving the region bounded by y = x2, y = 2-x2, and x = 0 about the y-axis. I'm taking Calc I and this question was on a test I took yesterday. A couple things about it didn't make much sense, which suggests to me that I'm missing something. I...

im currently stuck on a stress analysis question, the question is the following: for the section shown below, derive the following: x, y, Ixx, Iyy, Ixy, theta, Iu and Iv 50 ___ yy |---| | |---| | |---| | |---| +------ xx |---|___________________...

the instantaneous axis of rotation of a body rolling on a stationary surface must pass through the instantaneous point of contact (C) it seems obvious that the axis must be tangential at C (to both surfaces), and perpendicular to the instantaneous line of motion of the point of contact but...

Hi All, I have some simple Mathematica commands: f[x_]=x^2+3*x-1 Plot[f[x],{x,0,10}] Now, I need to "rescale" the horizontal axis of the resulting graph, so that number 25 is added to its value (i.e., the horizontal axis would take the starting value 25 (in place of 0) and 35 (in...

As we know from gyroscopes, the axis of a spinning object remains in the same orientation. For example, for a spinning object traveling in a straight line, the line of travel we could call a plane and the spin axis in the direction of travel could be perpendicular to the plane and the spin axis...

I have some data and i want to plot them on excel. I am trying to plot them but i am drilling a hole in the water. I will appreciate if anyone can help me with this. I want 3y axes and 1x.Thank you.

I was looking at a situation where a fridge in the back of a truck is just about to tip back due to the truck's acceleration. I am looking at the moment just before it tips. The net torque here is 0 since it is not yet tipping back. I thought I was allowed to pick any axis I wished and so picked...

I had always thought that the concept of rotation required it being around an axis rather than a point, but now that I have been exposed to using vectors to represent rotation, I am a little confused. Angular momentum is defined as the position vector cross the linear momentum vector. Suppose a...

Hello there, i have a problem with calculating the moment of inertia for the object on the picture. There are two cases I'm observing. In the first case, the obect rotates around the axis located in the center of the big circle, and the little circle can't rotate around the axis located in...

help with parallel axis theorem?? Hey guys, I've attached a picture from my textbook (Intro to Classical Mechanics by David Morin) showing the beginning of the proof for the parallel axis theorem. I understand most of it except the sentence where it states that if you glue a stick to the body...