Rolling Definition and 1000 Threads

Hi everyone I work for a very small company, which produces steel products. Predominately from one particular hot rolled steel profile. (1040 grade) We currently subcontract our hot rolling to small chinese operators :( I know... At this stage our volumes are not large enough to warrant...

Homework Statement A thin cylindrical shell and a solid cylinder have the same mass and radius. The two are released side by side and roll down, without slipping, from the top of an inclined plane that is 1 m above the ground. The acceleration of gravity is 9.8 m/s2. Find the final linear...

Homework Statement Assume that there is no slipping of the surfaces in contact during the rolling motion. A motorcycle accelerates uniformly from rest and reaches a linear speed of 22.0 m/s in a time of 9s. The radius of each tire is 0.280 meters. What is the magnitude of the angular...

I have a very simple conceptual physics problem that I am looking to solve, and unfortunately I've been out of school a little too long to solve: Suppose you have a hill, and at the bottom of the hill it levels off and keeps going on. You take two marbles of different masses and roll them...

Homework Statement A uniform solid cylinder of mass `m' and radius `a' rolls on the rough outer surface of a fixed horizontal cylinder of radius `b'. Let `theta' be the angle between the plane containing the cylinder axes and the upward vertical (generalized coord.) Deduce that the cylinder...

Homework Statement A 181 g ball is released from rest H=5.19 m above the bottom of the track shown in Figure. It rolls down a straight 21° segment, then back up a parabolic segment whose shape is given by y=x2/4, where x and y are in m. How high will the ball go on the right before reversing...

Homework Statement Hi again ,, my second one is easy: A tire 0.5 m in radius rotates at a constant rate of 200 rev/min. Find the speed and acceleration of a small stone stuck on the surface of the tire (on its outer edge). Homework Equations The Attempt at a Solution the Speed...

If we have an inclined plane at angle \alpha and a sphere on that plane it will have angular acceleration due to the friction force. If F_{lim}<mg\sin \alpha , where F_{lim} is the limiting friction will the sphere also slide along the plane?

FORCES On a bridge A bridge, constructed of 11 beams of equal length L and negligible mass, supports an object of mass M as shown. (Intro 1 figure) Real bridges of this sort have steel rockers at the ends (check one out sometime), these assure that the support forces on the bridge are...

Homework Statement A uniform cylinder of mass M and radius R has a string wrapped around it. The string is held fixed, and the cylinder falls vertically. (a) Show that the acceleration of the cylinder is downward with a magnitude a=2g/3. (b) Find the tension in the string. Homework...

Homework Statement A point mass m is attached to the rim of an otherwise uniform solid disk of mass M and radius R (in the diagram mass m is in contact with the ground). The disk is rolled slightly away from its equilibrium position and released. It rolls back and forth without slipping...

Homework Statement If you put a ball somewhere on a slope and it rolls down, how far will it go when the ramp is at some hight over the ground and the output angle is something.Do not take in account friction or air resistance. Homework Equations The Attempt at a Solution When u put the ball...

Homework Statement Hi there - I'm working through a bit of mechanics revision and have been looking at some of my uni past exam papers from a good few years back when the syllabus was different, so I'm not familiar with a lot of the material covered - it's not strictly relevant to my current...

Homework Statement In the given arrangement a sphere of mass "m" rolling on a rough surface strikes a rough inclined plane. Find the velocity of centre of mas and the angular velocity of sphere if just after collision, it starts ascending up the incline plane and performs rolling...

Energy "lost" in rolling, sliding and torsion Hey everybody, I have a question concerning three states and the state of energy in them. 1. Rolling 2. Sliding 3. Torsion For example: If I have a steel cylinder with diameter d on an axis (no friction in the axis) rolling horizontally over a...

Homework Statement Minimum Angular Speed to start SLIPPING BEFORE ROLLING WITHOUT SLIPPING. Homework Equations A cylinder of mass M with radius r is given an angular speed of an w about an axis, parallel to its length , which passes through its centre. The cylinder is gently lowered onto...

Hi there currently I am stuck on a question, A car with a mass of 1.2 tonnes, rolls down a hill which is 600m long and is inclined at an angle of 9 degrees to the horizontal. Ignoring the effects of air resistance and friction and assuming the car to start from rest at the top of the hill...

1. A solid sphere has a radius of 0.200 m and a mass of 150 kg. How much work is required to get the sphere rolling with an angular speed of 50.0 rad/s on a horizontal surface? Assume the sphere starts from rest and rolls without slipping 2. The attempt at a solution I found V first. V= rw =...

Homework Statement Roll 7 dice. What is the probability that the sum of the numbers is 14? Homework Equations Possibly a probability generating function because the problem comes from the chapter that deals with it but I can't think of which one (if any actually apply). The...

A uniform disk of mass m and radius R rolls without slipping down a ramp inclined at angle q to the horizontal. Using the angle f through which it turns as a generalised coordinate, write the lagrangian, and then the Hamiltonian. Write out and solve Hamilton’s equations of motion. Ok, so...

Homework Statement Describe how you could use the procedure from this experiment to measure the coefficient of rolling friction between the tires of a car and the road surface for different pressures of air in the tires? Procedure = 1. Slide a mass along the surface of a lab desk and...

Homework Statement A constant horizontal force app of magnitude 15 N is applied to a wheel of mass 8.9 kg and radius 0.39 m. The wheel rolls smoothly on the horizontal surface, and the acceleration of its center of mass has magnitude 0.76 m/s2. (a) What is the magnitude of the frictional force...

Homework Statement Five dice are rolled. You win a dollar for each number other than a five that is rolled, but you don't win extra for duplicate numbers; for example if [3,5,3,2,1] is the result, then you win three dollars. What should you pay to play this game (what is expected value)...

Homework Statement A small ball of radius 1.9 cm rolls without slipping down into a loop-the-loop of radius 3.7 m. The ball has mass of 353 gm. How high above the top of the loop must it be released in order that the ball just makes it around the loop, and what is the total kinetic energy...

Homework Statement A wheel with mass m, inner radius r and outer radius R is placed on a slope. The slope has angle θ related to horizontal. When the wheel is affected by a constant, known torque Tau in the centre of mass, the wheel begins rolling uphill...

a steel ball, starting from rest rolls down one slope and up another. it takes 2.5s to reach the bottom of the first slope, at which point its speed is 5.0 m/s. if the magnitutde of the acceleration on the second slope is exactly one-half that on the first slope, how long will it take for the...

Homework Statement Two bicycle tires are set rolling with the same initial speed of 3.30 m/s along a long, straight road, and the distance each travels before its speed is reduced by half is measured. One tire is inflated to a pressure of 40 psi and goes 18.6 m; the other is at 105 psi and...

Homework Statement Two bicycle tires are set rolling with the same initial speed of 3.60 m/s along a long, straight road, and the distance each travels before its speed is reduced by half is measured. One tire is inflated to a pressure of 40 psi and goes 18.7m ; the other is at 105 psi and...

Homework Statement a hollow sphere is rolling long a horizontal floor at 5 m/s when it comes to a 30 degree incline. how far up the incline does it roll before reversing direction?Homework Equations The Attempt at a Solution it seems like conservation of energy would work best for this problem...

Homework Statement a 76 kg boulder is rolling horizontally at a top of a vertical cliff that is 20m above the surface of a lake. the top of the vertical face of a dam is located 100 m from the foot of the cliff, with the top of the dam level with the surface of the water in the lake. a level...

Homework Statement A cylinder with mass m and radius a rolls down a fixed cylinder with radius b. Let \theta be the angle between the plane containing the axis of each cylinder and the vertical. Find the normal component of the reaction force exerted on the rolling cylinder. Homework...

Hello. I'm trying to find the torque required of an electric vehicle to pull a 1000kg trolley on four Nylon Wheels on smooth concrete. The trolley fully supports its own weight. The vehicle has 2 rubber drive wheels of Radius( r = .125m). Now I'm not sure if am on the right track because i...

Homework Statement A uniform ball of mass M and raduis a can roll without slipping on the rough outer surface of a fixed sphere of raduis b and centre O. Initially the ball is at rest at the highest point of the phere when it is slightly disturbed . Find the speed of the center the G of the...

Homework Statement Let there be two spheres, of equal radius but unknown masses (mass isn't important). Both move down a ramp of angle \theta, where \theta can be any angle but 90 deg. or 0 deg. The first sphere slides down the ramp with no (negligible) friction. This sphere does...

This isn't actually a homework question, but the style of it fits best in this forum. Diagram http://img355.imageshack.us/img355/9836/text5029jb0.png \tau - torque of wheel R - radius of wheel f_k - force due to kinetic friction Question Is the translational acceleration of the...

Homework Statement "Suppose the sloping surface was very slippery so no rolling occurs (the can slides). Would the can reach the bottom sooner or later compared with the rolling motion? Explain the difference" I don't know if its relevant, but the slope was 4cm at the high end, and 1.5...

Homework Statement a small ball slides , with constant speed (a\theta tangential acceleration = 0) , around a horizontal circle at height h inside a firctionless, hemispherical bowl of radius R. derive a formula for the balls angular velocity \omega in terms of the radius of the radius of the...

Homework Statement A ball rolls up a straight incline. The dots in the diagram represent the position of the ball every 4 seconds. (The fourth dot is not intended to represent the turnaround point; the ball might still be on the way up at that point.) The instantaneous velocities at the...

Homework Statement A ball rolls up a straight incline. The dots in the diagram represent the position of the ball every 4 seconds. (The fourth dot is not intended to represent the turnaround point; the ball might still be on the way up at that point.) The instantaneous velocities at the...

Homework Statement Not a problem but an experiment were I have not been told what I need to calculate. I have a trolley rolling down an inclined plane. We recorded the speed(light gates) at two different points and all distances involved(height of plane, distance between gates etc). We did...

Homework Statement A cue ball is hit 4.5 cm above the horizontal surface uk = 0.35 it is on. The ball is 6 cm in diameter and has a mass of 250 g. It is hit by a cue stick with an average force of 6000 N during a contact time of 20 usec. (a) What is the ball’s speed after it is hit...

Dear All, I have learned that if a wheel is rolling without slipping, then the velocity of point of contact of a wheel with respect to the ground is zero instantaneously. However, I am having some problems while trying to understand that. We can express the point of contact's velocity...

Hi All, I'm trying to figure out how to model a rolling ball in the x y plane. I've started with the basic equation of motion with constant acceleration d = v_{}0t + 1/2at^{}2 v_{}0 is the initial velocity a is acceleration t is time Assume that v is a vector at an angle \alpha...

Homework Statement A uniform hollow spherical ball of mass 1.75kg and radius 40.0cm rolls without slipping up a ramp that rises 30 degrees above the horizontal. The speed of the ball at the base of the ramp is 2.63m/s. while the ball is moving up the ramp, find the acceleration of its center...

Homework Statement A small, solid sphere of mass 0.6kg and radius 27 cm rolls without slipping along the track consisting of slope (at an angle of 60degrees from horizontal) and loop-the-loop with radius 2.65m at the end of the slope. It starts from rest near the top of the track at a height...

Homework Statement A toy car has a total mass of 50 g, and rolls on freely spinning wheels, each of which can be modeled as a uniform disk of mass 1 g, and radius 2mm. What is the acceleration, a, of this toy car when it rolls without slipping down a ramp tilted at an angle of 20 degrees to...

Here's the question: A solid sphere of mass M is being pushed by a plank of mass m along the top of the rim. Assuming pure rolling at all points of contact, find: (i) the accelerations of the centre of mass sphere and the plank w.r.t. ground. (ii) frictional forces operating at both the...

Hello: In my readings a question has come up in my mind about a ball that is rolling. Say you have a pool ball on a billiards table and you examine it immediately after impact. It's going to be sliding along the table. But at some point, it's going to stop sliding and (ideally) start rolling...

When there is purely rolling motion in an inclined plane, it is mentioned that work done by the frictional force is zero! Why should it be zero as there is definitely a force as well as displacement in opposite direction of force? Is this true or for rolling motion there is some other...

hi there! I considered the following problem: a ball of radius R on a horizontal plain is at first in rest. Then it receives a horizontal force for a very short time at a point placed 1/3R from the plain and the ball starts moving with initial velocity v_0. There is also a friction when...