Roll Definition and 179 Threads

Homework Statement Hi, I just wanted to check my answers for this question: Q: Suppose that we flip a coin six times and roll a 6-sided die once. Suppose also that all outcomes of this experiment (consisting of an ordered sequence of results for the flips (heads or tails) and the number...

Hello all, I have a PNI TCM2 electronic compass module, which has a 3-axis magnetometer and a 2-axis tiltmeter (manual: http://www.mil.ufl.edu/projects/gnuman/spec_sheets/tcm2_man.pdf" ), and provides heading with tilt compensation. The module also provides "pitch" and "roll" measurements...

Before you watch the video, give your answer here... and why you think it's correct.

I'm studying the chapter 'Steady State Cornering', from the book 'Fundamentals of Vehicle Dynamics' (by Gillespie). The concept of a 'roll center' seems to be very important here, especially after the 'roll axis' is defined (line joining the front and rear roll centers). But I don't...

So here's the the problem. We have a number of laminating machines at my work and the machine operators occasionally put the product onto the unwind chuck in the wrong direction (i.e. clockwise rather then counter clockwise). We need a SIMPLE way to insure that this does not happen. I'm aware...

I'm calculating the weight transfer experienced by a car during braking, accelerating and cornering. So far i have been using moment equations with the centre of gravity height. I've used some suspension software to determine the roll centre and was wondering if this is meant to be used when...

The question is "An experiment in which a dice is tossed twice. Let X be the random variable defined by recording the higher of the 2 values obtained in the experiment. Determine the probability distribution of X." I know that the range of this distribution is {1,2,3,4,5,6}. For P(X=1) both...

Homework Statement Not sure if this is the right place, it's a past paper problem - not really homework. Anyway, the question asks for the maximum velocity a car can take round a bend without sliding or rolling over. Radius of Bend = 60m (R) Friction Co-ef = 0.55 (u) Width of car, (tyre...

Let's say I have a big, 50-sided die, with values ranging from 1-50. I want to find the exact standard deviation of the dice roll by hand. I would like to avoid subtracting the mean from each possible value, if at all possible. How do I do that?

Hi, I know very little about maths. I'm struggling to get my head around a question I was asked today, and I was wondering whether someone could explain it to me. Question: If a very large group of kids took it in turns to roll a die again and again until it landed on '1', on average how...

Ever since I was a very young child I have rolled my head while laying in bed. I don't roll my head the entire time that I am awake, but I do roll my head a lot.

Originally posted on another forum with the title "are some things impossible?" The question was more of a philosophical one, but it got me thinking mathematically. I thought I had a solution like this: Put die #1 in a base 5 numbering system, you get the following values for the 6 rolls...

Homework Statement A car traveling at 22.0 m/s runs out of gas while traveling up a 24.0deg slope. How far up the hill will it coast before starting to roll back down? Homework Equations (v_final)^2 = (v_initial)^2 + 2*(a_parallel)*(x_final - x_initial) ...and some trig The Attempt...

"How Many Licks" Tootsie Roll Help 1. Homework Statement [/b] In an activity, i was supposed to determine the rate of change of volume of a tootsie rool as i consume it. My initial radius is 1.21 cm at t=0 sec the rest of my data is 30 sec- 1.27 cm 60 sec-1.25 cm 90 sec- 1.24 cm...

Homework Statement A solid cylinder of radius 20cm is released from a 2.5 high incline. If it rolls down without losing any energy to friction, find the cylinder's velocity at the bottom of the incline and the angular speed at the bottom of the incline. Homework Equations The...

im trying to implement a tilt sensing program via accelerometer and gyroscope. part of the input that i will plan on using is gyroscope data. since gyroscopes measure angle/sec, integrating this will give me angle right? i then have three questions: 1. do i multiply the gyroscope's (1/sampling...

Hello everyone, i'm new to this forum and this is my first post. My question is: how to get pitch and roll of a moving vehicle using an 3-axis accelerometer? accelerometer values are the same when vehicle is stopped? Thanks in advance.

There are two references frames, A and B. Let A's reference frame be denoted by the columns of the identity matrix, and let A's origin be (0,0,0). Let B's reference frame and origin be denoted by a transformation matrix T, where T = R11 R12 R13 x R21 R22 R23 y R31 R32 R33 z 0 0 0 1...

Homework Statement Assume that the z-axis is pointing up, x-axis is along the horizontal, y-axis goes from "front to back". How do i find the roll angle using 3 acceleration vectors with respect to each of the 3 axes (ax,ay,az) , that is (with respect to each other only something like...

hi how can i convert accelerometer vector to quaternion and then convert it to pitch and roll? i want full 360 degrees of roll and pitch

I was solving this question in rotational mechanics (not asking for help). The author then goes to solve this using energy conservation, equating the final kinetic and rotational energy to the initial potential energy. Now, he obviously assumed the object rolled on the surface, which, if...

In my opinion, Rock & Roll offers great music, but not so great lyrics. Who, like Bob Dylan, bucks the latter trend?

I was playing a pencil and paper role playing game with some friends, and some questions came up about the what is most important to increase to get better at a skill. There are two values for each skill- the basic value and your training value. The basic value ranges from 1-7 and determines how...

Homework Statement The yo-yo is made of two wheels, connected by a short beam (the cross-section of the beam looks like the letter "H"), around which wire is wrapped up. Let the yo-yo be stationary on a desk. What is the angle ß in relation to the said desk (see picture) that we must gently...

OK so that is the problem and there is an obvious vehicle modification to counter the roll-over problem which is to fit stabilisers, adopting the same concept employed in a child's bicycle. http://img3.imageshack.us/img3/3770/stabilisedmrap.jpg The simplest and cheapest way to do this...

I have multiple robot cells that i would like to move fixtures from robot to robot with the out come of the part to be perfect. in order to do that i need to make sure my work object is in the same spot each time. so i need to find the yaw pitch and roll and convert them into Euler angles. On...

Puzzling "roll X dice, choose Y highest" problem Hi folks, Over the past few days, a friend and I have been wracking our brains over a dice throw probability problem. As the post title describes, it's simply rolling X dice and picking the Y highest (we coined the notation 'xky' for 'roll x...

I've seen the gyroscopic effect explained in terms of angular momentum, but I feel that there should be a much more tangible and easily understood solution - one that would make sense to a person without any understanding of algebra. Specifically, I'm looking for an explanation that looks at...

Lately, I've been liking my coffee with a Roll-up-able Rim. You may need to be Canadian to get it (and probably need to be Canadian to win!) http://rolluptherimtowin.com/

Homework Statement In 1453, during the siege of Constantinople, the Turks used a cannon capable of launching a stone cannonball with a mass of 5.40 x 10^2 kg. Suppose a soldier dropped a cannonball with this mass while trying to load it into the cannon. The cannonball rolled down a hill...

I have to estimate the pitch rate and the roll rate of a vehicle, from measured accelerations. I have many three axial accelerometers. How can i accomplish it?

I understand why a heavy item and a light item both fall a given distance in the same time - in a vacuum, etc. What happens in the case of a cylinder rolling down an inclined plane with no slippage? Would a heavy cylinder reach the bottom at the same time as would a light cylinder? What if...

Not sure whether or not I have posted in the correct forum or not, anyway this is my problem. At work we have no way of estimating how many labels are left on a roll before returning them to the warehouse. the average roll diameter is 8" with a 3.5" core diameter and the roll web has a single...

We were asked in our Manufacturing Processes class to design a process for the manufacture of AISI 304 stainless steel sheet. Starting with hot rolled sheet 9 gauge (U.S.G.) in thickness and 32” wide. The final product is required to be 30 gauge (U.S.G.) in thickness and 32”. Our design needs...

Will a car roll over if there is a change in centre of gravity?

Homework Statement A toddler is having fun rolling a ball down a slide of height h=4 m. The ball can be considered as a thin spherical shell, Icm=(2/3)mr^2, with m being its mass and r being its radius. What is the velocity of the ball at the bottom of the slide...

Homework Statement Hello, the question itself is pretty abstract. When pulling a thread roll, there is an critical angle, where the thread does not start to unwind itself. Instead, the thread roll itself starts to move. Derive an formula for determining that critical angle. Homework...

How does the viscosity of a fluid in a circular can affect the way the can rolls? For example, 2 cans of similar size, volumn, and mass are rolled down a ramp with the same slope. The can with a viscous liquid will take more force to begin rolling than a can with a less viscous liquid, but once...

A couple of months ago I bought a rice cooker to make rice for sushi. All the ingredients we found (well, my wife found) at the supermarket after a couple tries: To make cucumber and crab rolls for a first time we bought 2 lb. white rice 1.2 oz toasted seaweed wraps 2 long cucumber 8...

Homework Statement Does a perfect ball roll or slide down a perfectly frictionless ramp? Homework Equations The Attempt at a Solution Let P be the contact point of the ball with the ramp. Then it appears to me there is a torque (about the contact point, P) acting on the ball due...

Hi to all Please help me to clarify this situation: There is a rotated wheel on a plan surface. What torque/power will be necessary to spring an obstacle with a concrete height. For ex. here are some data: 1.Wheel mass 10 kg 2.Wheel radius 0,3 m 3.Rotation speed 100 RPM 4.Obstacle...

Hello! I need help on yet another probability question.. Question: A red dice has the number 1 on one face, the number 2 on two faces and the number 3 on three faces. Two green dice each has the number 6 on one face and the number 5 on five faces. The three dice are thrown together...

Homework Statement A wheel with rotational inertia I = 0.5MR^2 about its central axle is set spinning with initial angular speed w and is then lowered onto the ground so that it touches the ground with no horizontal speed. Initially it slips, but then begins to move forward and eventually...

question : suppose that to the quadratic equation x^2+px+q=0 has two roots x_1<x_2 prove that for \frac{\mathrm{d^n} }{\mathrm{d} x^n}[(x^2+px+q)^n]=0 there are n different roots on the interval (x1,x2) ?? the prove: by rolls theorem we have a point "c" on the interval of...

What lyrics have you previously attributed to songs which you later learned were otherwise? For instance, I heard: "They proceeded to tear the whole town down." (Actually "...hotel..." from We're an American Band, by Grand Funk Railroad.) For instance, I heard (the most famous tuneout?)...

Homework Statement explain how an experiment where you let the ball roll from a certain height only models dropping a ball and finding its kinetic energy just as it hits the ground Homework Equations KE=PE 1/2mv^2=mgh i don't think you need to utilize these equations The Attempt...

But I don't know what is the best material to use for a ball and flat surface. I was thinking glass ball and typhlon tape at one point, but I have no idea. Can a rolling ball, roll over a surface and get a charge? with the very low friction? any insight on this, please help.. :smile:

how to find roll, pitch yaw... given an x,y,z position for the end of an robot arm(end effector), is there any way to find the roll, pitch and yaw for it...Given access to entire history of x-y-z positions. I'll be using IK then to evaluate whether these values are possible or not. All I need...

Hi, I'm trying to model a problem about rolling up a wire. I don't know how to go about setting it up to calculate the Torque required to climb at a given speed. Obviously coefficients of friction, normal forces, and weight will all play a roll but am hoping I can get a hand setting up the...

I have posted this question before but have not got a complete answer. I have since been thinking about it quite often, yet still have not had a conclusive answer. I'd really appreciate if someone can give a full explanation, since it is a fact known by most. 1. Under all ordinary conditions...