Rolling Definition and 1000 Threads

Homework Statement See post #3 Assume the YoYo is a solid cylinder with mass M and radius R for all parts! Homework Equations Lots? The Attempt at a Solution Part A - Find the moment of inertia about the center of mass and the point of contact with the ground: ICOM = 1/2 MR2 IIPoC = 1/2...

HELP!A rolling without slipping problem Homework Statement A solid cylinder of radius R and mass M has a string wrapped around it and is placed on its side on a horizontal surface. The free end of the string is pulled horizontally with a force F as shown in the figure. As the string unwraps...

The problem is modeling a solid ball or radius R rolling down an incline of angle Theta. Note that I am an Electrical Engineer who is somewhat flaky with rotational concepts (but not completely useless :p). If the ball was rolling down a road (or any solid, flat surface), I get the following...

Consider a ball rolling on a horizontal plane where friction is present. The forces acting on the ball are mg, friction at the contact and the normal force. This friction acts opposite to the direction of velocity. That should provide a clockwise torque and hence increase the angular velocity of...

Homework Statement A uniform cylinder of mass m of radius r(smaller) rolls on a cylindrical surface of radius R(larger). At a certain instant, the line OC has an angular velocity \omega and angular acceleration \alpha. http://img82.imageshack.us/img82/5380/cylinerssm0.jpg Find a)...

Homework Statement A solid sphere has a mass of 1.0 kg. It is rolling at a translational speed of 10 m/s. What is the total energy of the rolling sphere? I think I got the problem but I'm not sure I went about it the right way. Homework Equations I = (2/5)mr^2 KE_rot = (1/2)Iw^2 KE =...

A uniform, spherical bowling ball of mass m and radius R is projected horizontally along the floor at an initial velocity v0 = 6.00 m/s. The ball is not rotating initially, so w0 = 0. It picks up rotation due to (kinetic) friction as it initially slips along the floor. The coefficient of...

i have a problem regarding rolling wheels. ihave a double wheel rim connected by spokes, which is in perfect balance, with two baskets hanging between them, on opposite sides of the wheel, such that when a weight is added to the top basket the wheel will rotate, dropping the basket at the bottom...

Hey guys! I'm doing my B.S thesis (Mech. Eng.) and I've come across the problem of a rolling disk with friction. Imagine a disk in real world rolling on a flat surface with no external force or torque applied to it except for the interaction of the surface (Normal, friction, etc.). Now...

Hello guys, I would like to help me with rolling friction on a car(i am building a project that simulates the forces applied to a vehicle when it moves on a straight road http://rapidshare.de/files/40862186/Vehicle_Sim.zip.html). So: Engine has a torque at some RPM,and the torque goes...

Homework Statement A basketball (which can be closely modeled as a hollow spherical shell) rolls down a mountainside into a valley and then up the opposite side, starting from rest at a height H0 above the bottom. In the figure, the rough part of the terrain prevents slipping while the...

Homework Statement A ball has a diameter of 25.4 cm and a mass of 566 g. It can be approximated as a hollow spherical shell. Starting at rest, how long will it take to roll 10 m down an an incline of 30 degrees if it doesn't slip? Homework Equations Energy conservation I = 2/3 mr^2...

A potter has a stone disk of radius 0.483 m and mass 101 kg rotating at 71.9 rev/min. The potter stops the wheel in 6.54 seconds by applying a wet towel against the rim with a radially inward force of 103 N. Find the effective coefficient of kinetic friction between the whell and the wet towel...

3. A solid rubber ball is thrown so that it has an initial horizontal velocity of 12 m/s on a flat horizontal concrete surface, but is not initially rotating. Eventually friction will induce the ball to roll without slipping. Assuming you can neglect rolling friction, a) determine the amount of...

1. Under all ordinary conditions, would a ball released from rest start rolling down a frictionless inclined plane with just the force of gravity pulling it down? Or is it really just going to slide down? Now let's suppose a gigantic ball released on the slope of an enormous frictionless...

Homework Statement A disk has mass 3kg and outer radius 50 cm with a radial mass distribution (which may not be uniform) so that its moment of inertia is (2/7)mR^2. The disk is given a hard kick (impulse) along a horizontal surface at time t0. The kicking force acts along a horizontal line...

A ball of mass 2.10 kg and radius 0.145 m is released from rest on a plane inclined at an angle theta=38.0 degrees with respect to the horizontal. How fast is the ball moving (in m/s) after it has rolled a distance d=1.50 m? Assume that the ball rolls without slipping, and that its moment of...

Edit: The title is misleading because I initially was going to ask a different question. Homework Statement A singly charged ion of mass m is accelerated from rest by a potential difference ΔV. It is then deflected by a uniform magnetic field (perpendicular to the ion's velocity) into a...

Homework Statement If you start a penny rolling on a table with care, you can make it roll in a circle. The coin leans inward with its axis tilted. The radius of the coin is r, the radius of the circular path it follows is R, and velocity is v. Assuming that the coin does not slip, find the...

Homework Statement Take down as positive. A car is parked near a cliff overlooking the ocean on an incline that makes an angle of 10.5 degrees with the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline...

Homework Statement An Airbus A320 jetliner has a takeoff mass of 75,000 kg. It reaches its takeoff speed of 82 m/s in 35s. Find the Thrust of the engines, don't worry about air resistance, but rolling friction is substantial. Homework Equations Fnet=mass*acceleration a=(82/35)...

Homework Statement a. A 49,000 kg locomotive is traveling at 11 m/s when its engine and brakes both fail. How far will the locomotive roll before it comes to a stop? _____m b. Determine the stopping distance if the locomotive had the same initial velocity but was "low on diesel" so...

1) A balanced die is tosssed six times, and the number on the uppermost face is recorded each time. What is the probability that the numbers recorded are 1, 2, 3, 4, 5, and 6 in any order? My attempted answer is (6!)/(6^6), is it correct? 2) Suppose a die has been altered so that the...

I'm driven crazy by this question these days. so here it goes. Consider a ball sliding on a frictionless surface with some velocity U. If it encounters a surface with friction after some time, then it starts rolling (thats what my intuition says). Meaning that a new rotation component has been...

Homework Statement A think cylindrical shell and a solid cylinder have the same mass and radius. The two are released side by side and roll down, w/o slipping, from the top of an inclined plane that is 4.9m above the ground. When the first object reaches the bottom, what is the height above...

Q: A ball is at rest on an inclined plane. It begins to roll down with an acceleration of 2 m/s^2. How long does it take the ball to roll 50 m? This is my work: find time using, s = ut + 1/2 a t^2 t = sqrt(2s/a) Plug in the s = 50 and a = 2 Am I right? Thanks a lot.

Homework Statement A uniform cylinder of radius R, length L and density \delta is rolling without slipping along a horizontal surface with constant centre of mass speed u at A. It then meets a step of height b. We wish to find the conditions under which the cylinder is able to continue past...

Consider a round object given a push at the middle. The push generates linear velocity, and If there wasn't any friction, the object would start sliding; but the friction in the contact point with the ground causes the object to start rolling. Intuitively I can explain it: the friction causes...

Homework Statement 2 identical bowls are rolling on 2 different routes. The first one has a convexity and the second one has a concavity in their middle parts. The convexity fits perfectly the concavity. Both bowls had the same initial velocities. Bowls are rolling without slipping and...

Hello, I was wondering if someone could check math that determines rolling friction please. Basically I have been into Wikipedia doing a bit of research and put the following math together. The output of the function looks about OK against some test drives in my car, rolling a bottle across...

Hello, I am writing a simple programme and need a function for friction acting on a rolling sphere and I am not sure how to go about it so can you help please. The environment will be a sphere rolling across a horizontal surface of friction f at a velocity of.v and I wish to compute the...

Homework Statement A solid uniform disk of radius 0.250 m and mass 55.0 kg rolls down an incline that makes an angle of 15 degrees with the horizontal. The disk starts from rest from the top of the ramp. Find the speed of the disk's center of mass when it reaches the bottom of the ramp(linear...

My textbook is not helping me on this, so I'd love some help. A cylinder is rolling down a ramp, without slipping. I have the total kinetic energy, but now need to know the rotational kinetic energy and transitional kinetic energy at the bottom of the ramp. I have the mass, radius...

[/B]Homework Statement Hello: Can someone help with the following? A ball of mass M and radius R rolls smoothly from rest down a ramp and onto a circular loop of radius 0.48m. The initial height of the ball is h = 0.36m. At the loop bottom, the magnitude of the normal force on the ball...

Homework Statement Ball starts to slide with initial speed v0 = 6.5 m/s on horizontal surface. After what time will ball start to roll? Kinetic friction between the ball and the surface is 0.3. v0 = 6.5 m/s \mu = 0.3 I = 1/2 mr^2 Homework Equations I have solved this problem but I'm not...

Homework Statement If you roll a fair die 5 times, what is the probability that the sum of the five rolls is 20? Homework Equations The Attempt at a Solution I know the sample space is all possible permutations of 1 to 6 taken five at a time with repetition, which is 6^5 = 7776...

Object rolling off a sphere... Homework Statement A small object begins at the top of a frictionless solid sphere. Its initial speed is negligibly small. The sphere is stationary at all times. The small object then slides down the surface of the sphere. At one point the small object loses...

Homework Statement a 16lb yo-yo is resting on a horizontal table and is free to roll. The dimensions are r = 4in and R = 12in and the radius of gyration about the CM is 6in. A cord is wrapped around the inner radius, the passes over a perfect pulley, and is attached to a 8lb block. Find...

[SOLVED] Rolling object and friction Homework Statement I want to find an expression for the coefficient of friction when this object starts to skid when we pull it with a force F http://www.badongo.com/pic/3639015 The Attempt at a Solution Ff = (mju)*Mg I found that I can put...

The question is: Rolling a sum of 8 and a sum of 6 BEFORE rolling two sums of 7 Experimental Probability: 55% Theoretical Probability: 54.5% How did they do this? I understand that to get a sum of 8: 13.888% 6: 13.888% 7: 16.666% 6/8: 27.777% but I don't understand how they figured...

Homework Statement A hollow spherical shell with mass 2.50 kg rolls without slipping down a slope that makes an angle of 32.0 degrees with the horizontal. a. Find the magnitude of the acceleration a_c of the center of mass of the spherical shell. b. Find the magnitude of the frictional...

Homework Statement See attached Homework Equations K.E (rotational) = .5*I*omega^2 K.E (translational) = .5*m*v^2 The Attempt at a Solution v(of rod and translational vel of cylinder) = L * (dαlpha/dt) Is the angular velocity of the cylinder the same as the angular velocity of...

Does anybody have a table of rolling friction coefficients? I can't find the one I'm looking for. I have a vertical door opening (similar to a garage door) where there are UHMW polymer rollers rolling in a track. I read somewhere that the coeff of rolling frict would be close to teflon on...

A spherical ball rolls without slipping along a surface, with uniform velocity v/c (close to 1) with respect to the lab frame. It is thus seen to contract by a factor of \gamma, forming a grape-like shape. Why doesn't it wobble as it rolls, like a rolling grape? One can certainly argue...

[SOLVED] Rolling Forces Homework Statement A bowler throws a bowling ball of radius R = 11 cm down a lane. The ball slides on the lane with initial speed vcom,0 = 6.0 m/s and initial angular speed 0 = 0. The coefficient of kinetic friction between the ball and the lane is 0.19. The...

Contact Stress? I have a "High Spin" rolling system that spins pipe to compact cement lining. We are using tandem 7-14.5LT D/8 bias-ply tires on each end of the axles with the pipe riding in the saddle between two sets of tires. The tires are running approx. 70 MPH for just over a min. The...

I have attempted to solve this question and I got stuck at the last part. Here you go. A uniform solid disk is set into rotation with an angular speed X about an axis through its center. While still rotating at this speed, the disk is placed into contact with a horizontal surface and...

1. How much tension exists in each of two cables used to lower a 10m 500 kg gang plank to horizontal if the cables originate 2 meters above the planks hinges on the ship Relevant equations Moment of Inertia (Does it apply?) Torque Equilibrium (I'm so lost that I don't even know if torques...

Homework Statement A ball radius r mass m starts rolling without slipping up a ramp inclinced at an angle phi to the horizontal, and reaches a maximum hight, h. Derive an expression for the angular velocity, omega, that the ball has at the base of the ramp (ignore rolling friction throughout...

Hey there. I have a problem about rolling ball and it's from my homework. 1. Homework Statement A ball rolls down the surface of a rough fixed sphere of radius r, starting rest at the top. What's its speed when the line between the two centres makes an angle alpha with the upward...