Rolling Definition and 1000 Threads

Homework Statement A pipe(thin ring)has a mass of 500kg and radius of 0.5m and rolls without slipping down a 300kg ramp. If the ramp is free to move horizontally(frictionless, determine the acceleration of the ramp. (angle of ramp is 30 degrees) Homework Equations Fs (static friction) =...

Hi, I have another query related to rolling motion. Lets say a disc is rolling purely with a velocity vo (this being the vcom). It encounters a step.lets say that the step has a height h, where h < r, i.e., the step has a height less than that of the height of the center of the disc. SO...

Homework Statement A 3.0kg solid cylinder (radius=.15m, length=.7m) is released from rest at a top of a ramp and allowed to roll without slipping. The ramp is .9m high and 5m long. Find the rotational and translational kinetic energy. Homework Equations krot=1/2Iw^2 Ktrans=1/2mv^2...

Hi, I have a problem which I can't figure out.:confused: Let us take a sphere which is rolling purely at a constant velocity vo. Now, if the sphere were to collide inelastically with a wall, with coeff. of restitution = e. Then what is the time after which the sphere starts pure rolling...

Homework Statement A 2.7kg solid sphere (radius .2m) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is .5m high and 5.4 long. When the sphere reaches the bottom of the ramp what is the rotational kinetic energy and the translational kinetic energy...

HI, I am having some trouble understanding the effects of an impulse on rolling motion, particularly without slipping. For eg, if we take a sphere of radius R and mass M, then what is the point h above the centre C at which when an impulse is imparted, will cause pure rolling motion...

1) when a wheel turns there is a forward acting friction but the 'frictional' force that opposes it is rolling resistance right? So when a wheel successfully turns and move does it mean the friction is greater than the rolling resistance? Then in a car the resisting force will be this rolling...

Homework Statement The Attempt at a Solution The Fundamental Rule states that, given the six choices of value on a die, the number of possible outcomes for rolling three dice is: (6)(6)(6) = 6^3 = 216. Of these 216 possible outcomes, however, there is only one event that has a sequence...

Help please -- marble rolling around loop-the-loop A solid marble of mass m = 15 kg and radius r = 8 cm will roll without slipping along the loop-the-loop track shown in the figure if it is released from rest somewhere on the straight section of track. The radius of the loop-the-loop is R =...

Homework Statement In the figure, a constant horizontal force Fa magnitude 10 is applied to a wheel of mass 10 kg and radius .4 m. The wheel rolls smoothly on the horizontal surface, and the acceleration of the center of mass has magnitude .6 m/s^2. Find frictional force on wheel...

This is a typical case of friction wheels where one wheel drives the other...what I want to know is how can we model the problem when slipping occurs ... also in case of no slipping how will the free body diagrams and forces be balanced on both disc?

two balls, one made of iron and one made of lead with same radius and mass. which one will roll down the slope faster? i don't really know where to begin, since everything is the same, the only idea i had was to somehow relate Ek=(J.ω2)/2 => Ek= m.r2.(ω2/2) to the question since i imagine...

Kinematics -- marbles rolling down a ramp and into sand Homework Statement 14) The student carries out an experiment to investigate momentum and collisions. A ball bearing is rolled down a ramp clamped at the edge of a bench. The ball bearing makes a head-on collision with a marble at the...

Hi, I'm trying to solve this, but I keep getting both sides of the equation to be the same >.< A solid cylinder is initially moving along a flat surface without rotating. Due to the action of friction, it eventually begins rolling without slipping. The coefficient of friction is 0.22, the...

Homework Statement A girl of mass 28.1 kg stands on the rim of a frictionless merry-go-round of radius 1.58 m and rotational inertia 433 kg·m2 that is not moving. She throws a rock of mass 670 g horizontally in a direction that is tangent to the outer edge of the merry-go-round. The speed of...

A girl of mass 28.1 kg stands on the rim of a frictionless merry-go-round of radius 1.58 m and rotational inertia 433 kg·m2 that is not moving. She throws a rock of mass 670 g horizontally in a direction that is tangent to the outer edge of the merry-go-round. The speed of the rock, relative to...

This is an even-numbered problem in my textbook that I'm looking at early though it hasn't been taught by my lecturer yet, because I need to know the concepts underlying it for a similar problem. Cld someone help me? Homework Statement Consider the case of a hollow cylinder rolling down a...

Hi everyone , I've searched the answer for this question for a while , but haven't reach an satisfying explanation yet . Generally , from the study of friction , any force that's smaller than the static friction between the wheel and the ground would cause the wheel rolling ( Otherwise the...

Hi there! First off, I am new to these forums so be nice! The question I have isn't homework, but rather personal curiosity. Homework Statement Imagine that you have some type of cart on a conveyer belt. The cart is held stationary with respect to the world by a rope. The conveyer belt...

Homework Statement I want to be able to plot a trajectory wrt time of a ball that rolls without slip on a curved surface. Known variables: -radius/mass/moment of inertia of the ball. -formula for the curvature of the path (quadratic) -formula relating path length and corresponding height...

I'm aware that the P( winning a game of craps by rolling a sum of 6) =P(getting 6 the first time and 6 the second time) or P(getting 6 the first time, get some number other than 6 and 7 the second time and get 6 again the third time) or P((getting 6 the first time, get some number other...

Homework Statement A lawn roller in the form of a thin-walled, hollow cylinder with mass M is pulled horizontally with a constant horizontal force F applied by a handle attached to the axle. a)If it rolls without slipping, find the acceleration. b)If it rolls without slipping, find the...

When looking at rolling objects, the force of rolling resistance is determined by a coefficient of rolling friction. Is this coefficient constant for an object when both stationary and moving? Or is there a separate static and kinetic coefficient as there is with sliding friction? I am asking...

Homework Statement Two dice are rolled. What is the probability that at least one is six? If two faces are different, what is the probability that at least one is six? Homework Equations The Attempt at a Solution I have no clue. Although the first one shouldn't be that hard, but...

Homework Statement I apologize if this is not the right place to put this. If it is not please redirect me for future reference. 11. Consider a uniform thin disk that rolls without slipping on a horizontal plane. A horizontal force is applied to the center of the disk and in a direction...

Hi, I am trying to figure out what the probability distribution is for the following: 1. Roll 4 dice. 2. Take the lowest die and re-roll it. 3. Take the sum of the three highest dice. The result will be between 3 and 18. I know how to figure out the probability distribution for...

Homework Statement If someone could just check my work, thanks! If five dice are rolled once each, what is the probability of rolling exactly 4 identical numbers?Homework Equations The Attempt at a Solution This is what I have: (1)(1/6)(1/6)(1/6)(5/6)=5/1296

Homework Statement A bowling ball of mass 2.2kg is rolling along a track at 3.2m/s when it reaches a ramp angled at 55°, The ball rolls up the ramp to the top where the track levels out again, and the ball rolls at 0.3 m/s. How long is the ramp? mass = 2.2kg v1 = 3.2 m/s v2 = 0.3 m/s...

EDIT: Ooops, the title says sphere, but it is a cylinder. I cannot edit the title... sorry... I saw this problem in a book and it is really bugging me. It is not a homework problem, I have the fully worked out solution in the book. I just have a conceptual problem. Given a hollow cylinder...

Experiment with rolling balls--Why were results different at different heights? 1. My son's science fair data is hard to understand. In a speed test rolling four balls down a ramp at 10" and 21" height the results were not consistent between the two heights. At the 10" height the balls with...

Homework Statement A cylinder is pure rolling up an inclined place. It stops momentarily and the rolls back. In what directions is the force of friction directed during the journey? The Attempt at a Solution While going up, the cylinder rotates in the anticlockwise direction, and so the...

Hello, This is probably an extremely simple question and my lack of sleep is preventing me from understanding it completely, but I figured I would ask. Suppose you have one fair die. You roll it 3 times. What is the probability that the first and second roll are the same number? My guess is...

Homework Statement A solid steel sphere of radius 10 cm and a mass of 1.5 kg rolls down a 1.25 m incline that makes an angle of 20 degrees with the horizontal. Calculate the linear velocity of the following points relative to the ground, when it reaches the bottom of the incline. a) The...

Homework Statement A spherical billiard ball radius a and mass M is sitting on a flat surface. The coefficient of friction between the ball and table is u. The moment of inertia for the billiard ball is 2Ma^2/5. The ball is given a sharp horizontal hit at the centre and it starts moving with...

when a roller is rolling on a flat surface with a constant speed, how is about the friction force? is there any friction forces or not?

This is my first time posting here, and I was hoping someone can help me with a problem on my homework. A solid ball is released from rest and slides down a hillside that slopes downward at 65degrees from the horizontal. a) What minimum value must the coefficient of static friction between...

I have a friend that has solved this problem already and he explained it to me and gave me some initial hints so I could see if I could solve it. You are trying to show that the period of the cycloid is independent on the point where you leave off the ball, and specifically that it is equal to...

Homework Statement A thin spherical shell lying on a rough horizontal floor is hit by a cue in such a way that the line of action of force passes through the centre of the shell.as a result the shell starts moving with a linear speed v without any initial angular velocity.find the linear speed...

Homework Statement Two cylinders (radius R) start from rest and roll without slipping down ramps. They both have the same masses and moments of inertia. The ramps are both at the same angle. One cylinder (A) is directly on the ramp. The other (B) is hanging from two smaller cylindrical bits...

Circle Rolling around Rolling Circle (1) Circle 1 rolls around inside of the fixed base circle. Circle 2 rolls around inside of Circle 1.

I've got a bastard of a problem - I created a new form of super capacitor several months back with energy densities about 360x those of the best super capacitors on the market today (about 2.5x better than the best Li-Ion batteries) - and want to set up a production line. Rolling the...

Just solved a problem where I found the particular coefficient of friction that a ramp would need for a body with a certain moment of intertia to roll down it. So let's say i determined this to be 0.5. If now i try to roll my body down a surface with a lower coefficient it wouldn't be able to...

im confused about how to know which direction the static friction points during rolling. if a ball was rolling uphill, its angular deceleration should be caused by a torque, and that torque is from the static friction right? Then wouldn't the static friction be pointing up the hill towards the...

I don't understand when acceleration is constant and when it changes. What are some examples of situations where the acceleration is constant and when it's not? Is acceleration constant when a disk is rolling down a ramp?

For threading of Power screws ( like in a car jack with square/trapizoidal threading ), why is cold rolling preferred to normal material removal machining ; say turning on lathe. Or is cold rolling even preffered?

Homework Statement Oddjob rolls a canister of nerve gas twoards Bond, who is at the bottom of a curved trench. The canister has a mass of 16 kg, a radius of r = 0.8 m, and a rotational inertia of 10 kg*m2. It starts with no velocity. If the trench has a radius of R = 3.5 m, how fast is the...

Homework Statement A hollow, spherical shell with mass 2.50kg rolls without slipping down a slope angled at 35.0 degrees. i) Find the acceleration ii) Find the friction force iii) Find the minimum coefficient of friction to prevent slipping Homework Equations F=ma...

Homework Statement An 800 g, 40.0 cm diameter hollow sphere is rolling along at 4 m/s when it comes to a 25 degree incline. Ignoring any friction, how far along the incline does it roll before it stops and reverses its direction? Homework Equations rolling momentum motion equations...

Homework Statement An 800 g, 40.0 cm diameter hollow sphere is rolling along at 4 m/s when it comes to a 25 degree incline. Ignoring any friction, how far along the incline does it roll before it stops and reverses its direction? Homework Equations Krolling= 1/2Iw^2 + 1/2Mv^2...

Homework Statement There are a few, help with any would be appreciated. A 16,000 kg F-18 (jet fighter) lands at 52 m/s on an aircraft carrier, its tail hook snags the cable to slow it down. The cable is attached to a spring with a spring constant of 60,000 N/m. How far does the spring...