Rolling Definition and 1000 Threads

Homework Statement A hoop, rolling at a constant velocity of 4m/s, rolls up a hill .8 m tall on to flat surface . a) what percent of its initial total K.E. ( before rolling up the hill) is due to rotational K.E. b) how fast is it moving on top of hill. Homework Equations i=mr2 w=vr...

Homework Statement Upon application of the 10-N force F to the cord in Figure P5.3, the cylinder begins to roll to the right. After C has moved 5 m, how much work has been done by F? do not have picture so let me decribe the picture: 1) cylinder with radius .5m is on the ground 2) the cord...

My prof really confused me. Given a rolling sphere, which way does the friction point to? http://img187.imageshack.us/img187/7968/rolling1.png http://img338.imageshack.us/img338/8753/rolling2.png I think it probably matters if the ball is purely rolling or partially skidding, but I'm not...

Homework Statement A solid disk (mass = 5 kg, R=0.9 m) is rolling across a table with a translational speed of 8 m/s. What is the total KE of the disk? Homework Equations K = the sum of (1/2 x mass initial x velocity initial^2) (in my textbook, there are other derivations of this formula...

When an object is said to be under pure rolling, what friction does it experience? Static, kinetic or rolling friction? If its not rolling but rather just rotating and translating, what friction does it experience? If a rolling body is kept on a surface of certain friction constant, does the...

Homework Statement The mass center G of a 5kg wheel of radius R = 300 mm is located at a distance r = 100 mm from its geometric center C. The centroidal radius of gyration is k = 150 mm. As the wheel rolls without sliding, its angular velocity varies and it is observed that it is = 8 rad/s in...

Homework Statement Question A disk is initially stationary on a platform. Force P is exerted on the platform. Mass of Disk is MD and Mass of Platform is MP. Determine the minimum coefficient of friction in order for the ball to not roll. What is the acceleration of the ball as seen from...

if a cylinder rolls down and incline without slipping then i decrease the coefficient of friction and it does slip a little will it have more, less, or the same kinetic energy as before I think less, my physics teacher says the same

Homework Statement A uniform density sphere is released such that it has an angular speed of 10 rev/sec and no initial linear velocity. The angular velocity vector is perfectly perpendicular to the linear momentum vector. Initially the ball slips as it moves along the surface, but after...

Sorry, the title is wrong, it's hoop rolling UP an incline Homework Statement In a circus performance, a large 3.8 kg hoop with a radius of 1.8 m rolls without slipping. If the hoop is given an angular speed of 5.5 rad/s while rolling on the horizontal and is allowed to roll up a ramp...

Why is it that a vehicle travels further when skidding with locked wheels than when decelerating with rolling, braked wheels in conventional, non-abs vehicles.

Homework Statement A bowler throws a bowling ball of radius R = 11 cm down the lane with initial speed v0 = 8.5 m/s. The ball is thrown in such a way that it skids for a certain distance before it starts to roll. It is not rotating at all when it first hits the lane, its motion being pure...

Hi friends Let me talk in context of cars wheels... See!, tractive force is what ground offers us depending upon the weight of wheels or particularly car. It is the maximum force that ground offers us opposite to the force we apply to ground in the form of torque(t=rxf)... if we aplly more...

Homework Statement A small puck is placed on a disk spinning with angular speed OMEGA around axis perpendicular to the disk and passing through its center. The coefficient of static friction between the disk and the puck is MU. At what distance(s) from the center of the disk will the puck...

The basic idea is this. You get to roll 5 or 6 12-sided dice (d12). For any 12's your roll, you every 12 you roll, you get to roll another d12, and if any of those result in 12's, you get another d12. What I have been trying to figure out is what is the average number of dice rolled and the...

This isn't homework, but I thought that it's probably better in here, as it's a fairly quick question. OK, so I have 2 identical balls (exact same mass and radius). They rest on the same position on 2 identical slopes (same gradient) and begin to move down the ramps. The only difference is...

need help with rolling sphere problem... Homework Statement i have to design a track for a rigid sphere moving under the force of gravity. I need to come up with two paths/curves in the vertical plane and prove which one is the fastest. Origin point is (0,0) and ending point is (3,-1.5)...

Homework Statement You go to a quick – fix garage to get your brakes worked on. When your tires are re – installed, the mechanic forgets to put the lug nuts on your tires. Although nobody gets hurt, a tire comes off your car when you are traveling fairly rapidly and it is able to roll...

1. The Lab The ball reaches the end of the table in .178584 s, a distance of 14.016 cm. The table is 86.49 cm tall. What is the ball's velocity and far will it roll?Homework Equations y=vit+.5(g)(t)2 x=vtThe Attempt at a Solution I assumed vi was 0 and got that time=4.201, but that didn't seem...

Homework Statement Chuck gives a horizontal speed v to a ball that then rolls off a lab bench y meters high. How long a time will it take the ball to reach the floor? How far from a point on the floor directlyt below the edge of the bench will the ball land? Calculate how long and how far...

Homework Statement A hollow sphere of radius 0.45 m, with rotational inertia I = 0.026 kg m2 about a line through its center of mass, rolls without slipping up a surface inclined at 11° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 80 J. (a) How much...

Homework Statement An automobile traveling at 30.0 km/h has tires of 85.0 cm diameter. (b) If the car is brought to a stop uniformly in 15.0 complete turns of the tires (without skidding), what is the magnitude of the angular acceleration of the wheels? (In part a I found the angular...

Homework Statement A ball of mass 2.80 kg and radius 0.153 m is released from rest on a plane inclined at an angle θ = 41.0° with respect to the horizontal. How fast is the ball moving (in m/s) after it has rolled a distance d=1.60 m? Assume that the ball rolls without slipping, and that...

I'm a bit confused about the speed of objects rolling down slopes. In my textbook, it says "Neither the mass nor the size of the object will affect its speed when rolling downhill." And that solid balls of different masses/sizes will all reach the bottom of the slope together. And then...

Homework Statement A ball rolls off a table with a horizontal velocity of 5 m/s. If it takes 0.6 seconds for it to reach the floor what is the vertical component of the ball's velocity just before it hits the floor? (use g= 10 m/s^2) The second part of the question is what is the...

Homework Statement A hoop of mass m and radius R rolls without slipping down an inclined plane of mass M, which makes an angle \alpha with the horizontal. Find the Lagrange equations and the integrals of the motion if the plane can slide without friction along a horizontal surface. Homework...

Homework Statement A ramp is set up so that one end is propped up with a few textbooks and the other end is continuous with the floor. You roll a marble down an incline and onto the floor. Compare the velocity of the marble down the incline with the velocity of the marble as it rolls onto the...

Homework Statement A bicycle is rolling down a circular hill that has a radius of 9.00m. The angular displacement of the bike is 0.960rad. The radius of each wheel is 0.400m. What is the angle (in radians) through which each tyre rotates ? Notes on question : - wheels are in rolling...

Homework Statement A ball moving with constant speed 1.0 m/s on a horizontal table rolls off the edge of the table. The ball hits the floor 0.50 seconds after leaving the edge. Suppose you roll the same ball on the same table with constant speed 2.0 m/s. After leaving the edge of the table...

Homework Statement A ball is rolled down a rough hill with coefficient of \mu<tan\theta. The hill has a height of h. The ball has moment of inertia of I, mass of m, and radius of r, which are all constant. What is the final velocity of the ball at the bottom of the hill? P.S. I made this...

Homework Statement a track is inclined in such way that the velocity of the metal ball is 60 cm/s at 25 degree below the horizontal. mathematically determine the total x displacement of the metal ball. weight of ball: 65grams height from floor to the end of the track: 76.15cm velocity of the...

Hi guys, I have an extremely simple conceptual question. According to my textbook (in a problem), "if you start a coin rolling on a table with care, you can make it roll in a circle... the coin leans inward, with its axis tilted." I ask: how is this possible? The center of mass of the coin...

Hello, I'm running a couple of experiments in hot rolling and am in need of calculating the coefficient of friction during these experiments. All the equations I have found to calculate this during rolling all involve parameters like the roll bite angle which I am not sure how to calculate...

The question is: a spherical rock weighing 20 tons starts rolling down a steep incline from a height of 400 metres. Calculate the velocity when it reaches the ground level. What is the force exerted on the rock? I've tried to work this out but I just can't seem to grasp exactly what I'm...

Hi, I was thinking the other day of two soup cans of different types(one cream one consomee) rolling down a slope. I was thinking that the non-cream one (consomee) will always roll longer, but was surprised to find out that past a certain angle the cream soup was going longer. By longer I...

In the diagram below, a cart is released from rest at a distance x1 from the first of two photogates. The cart then rolls down the ramp through both photogates. The distance between the photogates is x2. For this problem, you may assume that the cart is frictionless and the acceleration of the...

Hello, I am trying to derive the equations of motion for a system that is essentially an inverted pendulum on a wheel. The pendulum is connected to the wheel by a motor. I have a motor torque M and a disturbance torque D. The radius of the wheel is r. My generalized coordinates are the...

Homework Statement A billiards ball (mass m) is hit by a billiard stick on the center of the ball (from the side) with a collision impulse mv0 so that the cues line of travel goes straight through the center of mass of the billiards ball, which in the collision-approximation gives a speed v0...

Well, I've recently been introduced to the wonderful world of angular momentum and precession motion, and a question popped into mind. Why, exactly, does a wheel rolling across the ground, not topple over even if tipped to one side? I've tried approaching the problem by looking at the angular...

newbie question, say I'm rolling a ball down a smooth , differentiable, and frictionless 1-Dimensional hill V(x) from a point x_i find the location x(t) and the velocity dx/dt(t) of this ball at some arbitrary time t. what would be the general approach towards such a problem? note that for...

Hi, When a circular section object (cylinder, sphere of radius r) rolls down an inclined plane (at angle theta) it experiences both linear and angular acceleration due to gravity. I have read multiple times that: mg sin(theta) - friction = m a where friction = Torque/r From there on...

Why is the normal reaction to a rolling object shown to the side of the CM? Forces must be equal and opposite Is there a real problem if you assume it through the C?

Hello ! Is there an expression for the friction force exerted on a solid sphere rolling (or rolling and slipping) on a rough solid inclined plane ? I have searched a lot but couldn't find anything, most studies are related to caoutchouc spheres or plane that will deform anbd cause viscoplastic...

Homework Statement A Block slides down a frictionless ramp and a sphere rolls without sliding down a ramp of the same angle. the block and sphere have the same mass, start at rest from point A and descend through point B a) Consider the sphere rolling down the incline without sliding. If...

Homework Statement A solid sphere of uniform density (weight = 3.2 lbs starts from rest and rolls down a ramp (H = 1.57 m, q = 18.3°.) Find the speed of the sphere's CM when it reaches the bottom of the ramp. haha sorry bout that... Homework Equations see below The Attempt at a...

Hi. I am doing an experiment on golf balls. I know that the dimples are supposed to reduce the resistance when traveling through the air. I am testing the effects that dimples have on rolling resistance when on the ground. I am using 3 golf balls of the same type/brand. One, I am keeping it...

Homework Statement A sphere of radius r_0 = 24.0 cm and mass m = 1.20{\rm{ kg}} starts from rest and rolls without slipping down a 37.0^\circ incline that is 15.0 m long. Calculate its translational speed when it reaches the bottom. Homework Equations ke=1/2mv^2 pe=mgh The Attempt...

Homework Statement 125N of force are required to compress a spring by 1.04m. The cart rolls across the table at a constant speed. It then rolls up an inclined board and comes to rest. How high above the table is the cart when it stops? Homework Equations The Attempt at a Solution

I came across an interesting little problem doing some work that I though I'd share. Typically, we think of three types of resistance for a wheel: Static Friction Kinetic Friction Rolling Resistance I'm modeling the wheel of an airplane for a flight simulator. When the airplane is sitting...

A cylinder rolls up an inclined plane, reaches some height, and then rolls down. The directions of frictional force acting on the cylinder while descending will be up the inclined. But what will be the direction of frictional force when the cylinder is ascending?? UP or DOWN Well, I think...