Axis Definition and 895 Threads

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...

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...

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?

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...

http://photoblog.msnbc.msn.com/_news/2011/03/12/6256280-how-the-quake-shifted-japan?chromedomain=cosmiclog I thought this was pretty fascinating. According to this, the Earth's rotation has increased in speed as well, by 1.8 microseconds.

Homework Statement The moment of inertia (in4) about the y-axis is most nearly (a) 39,500 (b) 37,600 (c) 38,700 (d) 36,400 Homework Equations Iy(circle)= .25(pi)(r^4) Iy(triangle)= (1/12)h(b^3) parralel axis theorem= Iy=Iy'+A[d(x)]^2 The Attempt at a Solution Iy(circle)=...

Homework Statement Hellow guys i am stuck at this problem, you can see how far I have done, could someone show me how I can complete the square of this problem and how it is integrated, thanks! http://img98.imageshack.us/i/img0003lz.jpg/ Homework Equations The Attempt at a...

Homework Statement A thin rod has mass M and length L. What is the moment of inertia tensor about the center of mass if placed along the x axis. Homework Equations I would write the inertia tensor in component notation, but I don't know how to use Latex. The Attempt at a Solution...

Hi everyone, this isn't really a homework question- this integral has come up during project work- but this seems like a sensible place to ask it nontheless. Homework Statement Compute I(t)=\int^{\infty}_{0} dx \frac{x^5}{(t+x^2)(1+(t+x^2)^4)} where t is real and positive. Homework...

say i have a lever, fixed to an axis in its right end. now a perpendicular force is exert on the lever, from its left end. the lever will obviously rotate relatively to the fixed axis. (the force will rotate with it, and will always be perpendicular to the lever. so the lever has a fixed...

Homework Statement A cylindrical shell of radius 9.9 cm and length 286 cm has its charge density uniformly distributed on its surface. The electric field intensity at a point 23 cm radially outward from its axis (measured from the midpoint of the shell ) is 44800 N/C. Given: ke = 8.99 × 10^9...

What effect does rotation have on a sphere moving through a fluid (liguid or gas) when traveling along the axis of rotation? The simplest being an up or down motion.

Homework Statement Show that the field on the x-axis for the dipole (negative on the right, positive on the left separated by 2a) is given by the equation E = kq / x^3 for x >>a. Homework Equations Coulomb's Law F = kq1q2 / r^2 E = F/q = kQ / r^2 The Attempt at a Solution Since...

Homework Statement Hi friends, I have uploaded the problem and picture at the link below. Please take a look. http://img64.imageshack.us/img64/4753/sam0247i.jpg Homework Equations F(vector) = F(cos\alphai + cos\betaj + cos\gammak) Ma = u_a(vector) \bullet M_o (vector) = u_a \bullet (r x F)...

Hi all, this is my first post, so forgive me if this is in the wrong forum. (I believe it does belong here) We are currently doing moments in physics and I have seen this in a few homework problems but can't seem to grasp it. For example, in one question, we are given a new axis AA that...

Homework Statement For a rectangular, uniform wing or beam, where would the location of the elastic axis be relative to the mid-chord position? Also, what's the difference between semi-chord and mid-chord for a uniform rectangular wing? Thanks in advance for any help, Carl

Hi, I am working through the Feynman lectures on physics and trying to calculate the moment of inertia stated in the title. (the taxis of rotation going through c.m., orthogonal to length). My approach is to slice the cylinder into thin rods along the length, using the parallel taxis theorem...

I am currently trying to understand the idea of quantum entanglement (more specifically the Bell inequality). But its brought up a lack of my knowledge of spin. So, I am trying to figure out how spin can be projected onto an arbitrary axis. Suppose there are two entangled electrons of...

Homework Statement Find the transformation matrix R that describes a rotation by 120 about an axis from the origin through the point (1,1,1). The rotation is clockwise as you look down the axis toward the origin. Homework Equations Rotations about the z-axis are given by R_{z}(\alpha) =...

Homework Statement A force is rotating the rod of mass m and length l round it's endpoint, according to drawing. The force rotates either, so as to simplify the problem. What force, apart from the one opposed to the centrifugal force, acts at the bearing? Homework Equations M=I\alpha...

I'm really confused with how to prove this result...could anybody help please? Let I_{1} be the line segment that runs from iR (R>0) towards a small semi-circular indentation (to the right) at zero of radius epsilon (where epsilon >0) and I_{2} a line segment that runs from the indentation...

I searched through the forums and couldn't find a topic or answer, so I will pose it (possibly again). I can work through deriving the equations of motion (either through Euler-Lagrange methods or Hamilton methods) for the spinning book problem and it is obvious that there *is* an unstable axis...

Let's say I have a uniform rod lying on a table in a frictionless environment. Now I throw a ball with a certain velocity at one end of the bat. How can I describe the motion of that bat. I need to make it seem like it is going in a circle. I know it will move back and rotate but I don't know...

Homework Statement A 40 uC charge is placed on x-axis at x=4cm. Where should a negative 60 uC charge be placed to produce a net electric field of zero at the origin? Homework Equations Fe=Ke((q1*q2)/r^2) The Attempt at a Solution I tried rearranging this equation to solve for r