Rolling without slipping Definition and 86 Threads

Homework Statement Homework Equations Angular momentum/fixed axis rotation The Attempt at a Solution Hi guys. I'm having a bit of trouble visualizing what will happen so if you could first indulge me with the mechanics. Imagine there was no friction to begin with; since the force...

In rolling without slipping, why does the point of contact have zero velocity relative to the ground? If so, how can the point of contact move relatively to the ground? (It has to move relative to the ground, otherwise it cannot roll and must stay in its original position)

If a ball is rolling without slipping up an incline, would the static frictional force also be up the incline?

Homework Statement This isn't a specific question, more of a general one: Suppose there is a cylinder of mass m that is rotating in the positive clockwise direction with initial rotational velocity \omega_0, and radius R. Then, suppose this rotating cylinder is placed on a surface with...

I never really thought about it but it seems arbitrary in which way we calculate friction in terms of problems involving rolling without slipping. That is you will get the same results whether you say the friction helps your rotational acceleration or your translational acceleration. For...

We are given with an hollow thin cylinder that has a mass of M and radius R, and a full cylinder that has a mass of m and radius r. The full cylinder is glued to the bottom of the hollow cylinder (As in the picture - ignore the speed v0 that is drawn in the picture) and now the hollow cylinder...

Hi. I'm taking a look at this problem: And my doubt is with step 2 when he calculates the torque. He just says it is Fd. But...why? F only has a component which effectivly does torque. Thanks

Homework Statement I think I have too many equations for unknowns for rolling without slipping. Suppose a wheel is pushed and left rolling along the ground without slipping. Homework Equations T = I*alpha, where alpha is the rotation about the wheel's centroid and I is the moment of...

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...

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...

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...

Homework Statement Homework Equations All the usually relevant circular motion equations involving θ, I, ⍺, τ and ω The Attempt at a Solution I've tried to work from the energy of the cylinder (Using E[SIZE="1"]k = K[SIZE="1"]trans + K[SIZE="1"]rot) and equating the energy to...

Homework Statement A basketball rolls without slipping down an incline of angle θ. The coefficient of static friction is μs. Model the ball as a thin spherical shell. (Use any variable or symbol stated above along with the following as necessary: m for the mass of the ball and g.) ] a) Find...

Homework Statement http://img406.imageshack.us/img406/9971/setupq.jpg In the diagram, there is a rope wrapped around a cylinder which is connected to a mass m. The cylinder is on cart, so the cart accelerates to the right at a value of a. The Attempt at a Solution so far I got this: lets say...

Homework Statement After fixing your bicycle, you go for a ride on it along the path by the Charles River. At all times, your wheels roll without slipping. At a particular instant, you are traveling in a straight line with a speed of v. I can't figure out part B Homework Equations part A...

We've just studied rolling without slipping and I was having some trouble deciding the direction of the frictional force in some cases. So I pondered a little bit and recalled how you choose the direction of friction for "normal" translation without rotation: If the friction is static, then...

Homework Statement a solid metal ball of mass M and radius R is rolling without slipping down and incline. A static friction force of magnitude f is acting on the ball. What is the magnitude of the torque due to static friction? a.) zero b.) rfcos theta c.) rfsin theta d.)Rf e. MRF...

Homework Statement A bowling ball is rolling without slipping up an inclined plane. As it passes a point O it has a speed of 2.00 m/s up the plane. It reaches a vertical height h above O before momentarily stopping and rolling back down. Determine the value of h. The moment of inertia of a...

Hi, The following is a general question which doesn't have to do with any particular problem. (therefore I am not including the template). I understand that when a circular object (e.g: a hoop) rolls on a *flat* surface without slipping with angular speed \omega, its contact point, and thereby...

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...

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...

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...

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...

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...

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...

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...

A solid sphere rolls without slipping down a ramp that is at an angle of 32 above horizontal. The magnitude of the acceleration of the center of mass of the sphere as it rolls down the ramp is? sum of torques = I(alpha) rmgsin32 = (2/5)mr^2(a_tan/r) the radii drop out as one would...

I need help with this... A hollow, thin walled cylinder and a solid sphere start from rest and roll without slipping down an inclined plane of length 3 m. The cylinder arrives at the bottom of the plane 2.4 seconds after the sphere. Determine th angle between the inclined plane and horizontal.

I can't figure out this problem. Pretty much totally lost. It has a hollow, spherical shell with a mass of 2kg, rolls without slipping down an incline of 38 degree's. It wants me to find the acceleration, the friction force, ane the minimum coeffcient of friction needed to prevent slipping...

A hollow, thin-walled cylinder and a solid sphere start from rest and roll without slipping down an inclined plane of length 5 m. The cylinder arrives at the bottom of the plane 2.9 s after the sphere. Determine the angle between the inclined plane and the horizontal. Ok, I think I'm close...

A block of a certain material begins to slide on an inclined plane when the plane is inclined to an angle of 14.57°. If a solid cyclinder is fashioned from the same material, what will be the maximum angle at which it will roll without slipping on the plane? I really have no idea where to...

A coin with a diameter of 2.30 cm is dropped onto a horizontal surface. The coin starts out with an initial angular speed of 18.4 rad/s and rolls in a straight line without slipping. If the rotation slows with an angular acceleration of magnitude 2.17 rad/s2, how far does the coin roll before...

I am posed the following problem: My work so far is this: For part 1, we solve a system of equations: F_net = M*a = T - F_fr with F_fr the force of friction, Torque_net = I*alpha = T*r + F_fr*R since the torques from the tension and friction operate in the same direction, and a =...

A thin hoop of mass m and radius R is rolling without slipping along a horizontal track. It then encounters a loop of radius r. If the hoop travels fast enough along the horizontal portion of the track it is able to go around the loop without losing contact with it at the top. Find the minimum...

New here, first post. Ok, a block of a certain material begins to slide on an inclined plane when the plane is inclined to a certain angle, theta, giving us tan(theta) = the coefficient of static friction. Now, if a solid cylinder is made out of the material, how would one go about finding...