Rolling Definition and 1000 Threads

Hi. Ok, I've given this question already soooooo much time and I simply cannot solve it. Homework Statement There's a circular surface that's holding still (like a bowl), with radius R, and a ball, with radius r, on it. The ball is rolling without sliding. The mass of the ball and it's...

Hi everyone, I'm kinda new and I'm trying to understand some kinematic principles which I can't really figure out... Without using intuition, what is the proof behind in explaining that the velocity of a rolling ball down a straight ramp increases and the velocity decreases when the...

No idea where to start with this one, any help is much appreciated... "A metal plate needs to be reduced to a thickness of 4 cm by involving a rolling mill. After rolling, the elastic properties of the material cause the plate to regain some thickness. Calculate the needed separation between...

when we say that in pure rolling the speed of the point of contact is 0 do we really mean it's just absolutely 0 or is it negligible.this may seem strange... but if it's 0 then why does that point ever move.if it ever moves then it's speed is no more 0 ...

Homework Statement A solid sphere of radius 20cm is positioned at the top of an incline that makes 22 degrees angle with the horizontal. This initial position of the sphere is a vertical distance 1.8m above its position when at the bottom of the incline. Moment of inertia of a sphere with...

Rolling Friction? Can someone explain to me why the frictional force is in the same direction as the acceleration of the center of mass of a rolling object?

Homework Statement A uniform solid sphere (moment of inertia = 2/5 mr^2) of mass 1.5kg and radius r = 0.473m, is placed on the inside surface of a hemispherical bowl of radius R = 2.77m. The sphere is released from rest at an angle of 66.9 degrees from the vertical and rolls without...

Homework Statement A ring of mass 2.83 kg, inner radius 5.30 cm, and outer radius 6.95 cm rolls (without slipping) up an inclined plane that makes an angle of θ=37.4°, as shown in the figure below. http://capa.physics.mcmaster.ca/figures/sb/Graph11/sb-pic1106.png At the moment the ring...

Hello, I need some help in resolving a dispute. Recently, a friend of mine told me that the probability of rolling a 6 on the second roll of a die after not rolling a 6 is not 1/6. He believes it is not 1/6 but rather the probability of rolling 6 after not rolling a 6 increases with each...

The title really says it all. Lets say i have a ramp, 1 meter long, that is at a 32 degree tilt. I place a ball on the top of the ramp and let if role down the ramp (no friction). 1. How long should it take for the ball to get near the bottem and 2. Since the ball is falling what is the ball's...

Homework Statement Alright for this thing, we had to pull a cart up a inclined plane and time how long it took to get to the bottom. Distance from ground to top of inclined plane is - 0.125m Length of Board is - 1.21m Mass of cart - 1.09kg Force to pull cart up - 1.4N Time it took for...

A ball rolls across a table and stops due to rolling friction. It has a mass of m and travels a distance of s in the time t. What is the ball's initial speed? The same ball rolls until it hits a wall. It has a mass m, and traveled a total distance of s (to the wall) in the time t. What...

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...

Homework Statement A wheel of radius R rolls along the ground with velocity V. A pebble is carefully released on top of the wheel so that it is instantaneously at rest on the wheel. (a) Show that the pebble will immediately fly off the wheel if V> sqrt(Rg) (b) Show that in the case where V<...

Hello, I'm a student currently nearing the end of high school, so my knowledge of physics (or even general math for that matter) are somewhat . . . lacking. That said, I'm currently attempting to figure out the various simple principles that apply to rolling a pair of dice across a table...

Homework Statement A hoop is launched so that it slides with backspin across the floor. Due to friction on the floor, the hoop eventually reverses direction. A little after that, it stops slipping and rolls back to the point where it was launched. If the initial speed of the hoop was v and...

if a rear wheel driven car is accelerated i think... 1. on rear wheels friction is forward 2 on front wheels it is backward my questions- 1.wats d direction of rolling friction on the car as a whole?(is dis question correct?) 2.which wheel will have greater magnitude of friction??

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.

Suppose a solid disk of radius R is given an angular speed about an axis through its center and then lowered to a horizontal surface and released, the coefficient of friction between disk and surface is u. What is the distance traveled before pure rolling occurs? Conservation of Momentum...

rolling question, HELP! Homework Statement The sistem in picture is moving without sliping, what is horizontal acceleration? please help

Homework Statement I throw a ball rolling and moving through the a flat surface. I may say that friction is slowing down translation motion, but increasing rotational motion, so when the ball stops moving, why is it not rolling? That's confusing me a bit. What can you say?

Help! Plane motions rolling wheel Hi there, I am not having any luck with this question at all and am hoping that there is someone out there that can help me out... here goes: The below cyclinder rolls to the right at 10 in/sec. Determine the angular velocity of BC and CD I am actually...

Homework Statement The graph shows the speed as a function of time for a minivan, coasting on neutral along a straight, level road, loaded with windsurfing equipment and towing a boat. The total mass is 2500 kg, weight= 5512lbs. Find the size of the force due to wind and rolling friction when...

So here's a pretty straightforward question. Given a cylinder with some specific mass and radius rolling down an inclined plane with a specific angle of inclination, what is the cylinder's acceleration? I can figure out the answer pretty easily by finding the Lagrangian of the cylinder (I...

I was wondering what rolls down a ramp faster - a tube (capped) full of dirt of a tube full with water. So i tried it and found that the water rolled faster -when it's mass was less then dirts mass and also when it was more. i thought of two reasons for this: 1) the water doesn't spin around...

Homework Statement A billard ball of radius 'a' is intially spinning about a horizontal axis with angular speed w and with zero forward speed. If mu is the coefficent of sliding friction between the ball and the table, find the distance the ball travels before slipping ceases to occur...

Homework Statement At a certain part of your drive from home to school, your car (mass m) will coast in neutral at a constant speed of v if there is no wind. Examination of a topographical map shows that for this stretch of straight highway the elevation decreases an amount h for each segment...

HI everyone who reads this,, i need to know a simple thing, but i coudln't figure it bymyself.. what i need to know is coefficient of rolling friction say,, a tire,(not vehicle,, just a small tire) on a concrete road what would that be ? does anyone who knows?? it doesn't have to be...

A rolling ball has an initial velocity of -1.5 m/s . a. if the ball has constant acceleration of -0.23 m/s^2, what is its velocity after 2.2 s? V = vo + at = -1.5 -0.23 * 2.2 = -1.5 - 0.506 = -2.006 = -2.0 m/s answer is -2.0 m/s b. what was its average velocity during that time...

Hi, I got a doubt while studying rotational mechanics. It is said in my book that when a sphere is purely rolling on a surface, total mechanical energy is conserved even though friction is acting. Isnt friction an external force? How can energy be conserved then?? Another doubt I got is...

Ok, I don't get this, when a sphere moves over a frictionless surface tilted downward so getting accelerated, does roll or slide?

Here's the situation: We have a ruler, inclined slightly with a strong ceramic magnet at the end. Now, we put two identical ferromagnetic (steel, for example) balls on the top of the ramp, touching each other. We let the balls roll down the ramp, and, perhaps against intuition, the balls...

Homework Statement A solid cylinder of radius R sits at the top of a slope of angle theta. When it rolls down, what is the minimum coefficient of friction (k) required to make the cylinder roll without slipping?Homework Equations Fx: mgsin(theta) - kmgcos(theta) = ma Torque: kmgRcos(theta) =...

Consider a hollow cylinder rolling down an inclined plane, without slipping. I know that the rolling friction does no work on the point which is in contact with the cylinder, since that point must be at rest since we have rolling without slipping, but isn't the ENTIRE BODY still moving, so the...

Homework Statement "A solid sphere of radius R and mass M is initially at rest at the top of a ramp. The lowest point of the sphere is a vertical h above the base of the ramp. It is released and rolls without slipping down the ramp. Determine the linear acceleration while the sphere is...

Homework Statement A large, cylindrical roll of paper of initial radius R lies on a long, horizontal surface with the open end of the paper nailed to the surface. The roll is given a slight shove (initial velocity is negligible) and begins to unroll. Determine the speed of the center of mass...

Homework Statement A cart is rolling down an incline (angle to horizontal is theta). It has two wheels, each wheel has mass m and moment of inertia mR^2/2. The total mass of the cart and the two wheels is M. Using conservation of energy (assuming no friction between cart and axles), show that...

Homework Statement A bowling ball is released without spin. How far does it travel before its motion is pure, rolling motion? No data is given, it asks for an order of magnitude estimate. Homework Equations k = mv^2/2 k = Iw^2/2 + mR^2w^2/2 I = 2MR^2/5 torque = Ialpha torque = fk(R)...

A ball rolls off a stairway with a horizontal velocity of 5.0 ft/sec. The steps are 8.0 in high and 8.0 in wide. Which step will the ball land on first? I was thinking we could find the time it takes for the ball to go 8in in the X direction(using our motion equations), then plug that in for...

Homework Statement A large hoop rolls without slipping across a horizontal surface. The hoop has a constant translational speed of 9.2 m/s, a mass m of 16 kg, and a radius r of 1.3 m. The moment of inertia of the hoop about its center of mass is 1mr^2. The hoop approaches a 22° incline of...

Homework Statement The axle of a uniform solid cylinder of mass m1=7.1 Kg is attached to a string that runs over a massless, frictionless pulley. The other end of the string is attached to a mass m2. The coefficient of static friction between the cylinder and the table is U=0.202. What is the...

Hey, I have been thinking about this problem for a while to no avail. Any input would be greatly appreciated. Thanks! Homework Statement A solid sphere of mass M and radius R rolls without slipping down a 30 degree incline (see figure attached). What is the linear acceleration, a...

http://aixagent.com/physics/q1316.jpg Can you guys give me some problems to solve, based on the picture provided? You can choose which variables you want to be "given" -- I would just like some problems about rolling on an inclined plane to do to prepare for my final.

A hollow spherical shell with mass 1.50kg rolls without slipping down a slope that makes an angle of 40.0degree angle with the horizontal. -Find the magnitude of the acceleration of the center of mass of the spherical shell I am really confused on how to go about this problem. I know it has...

Homework Statement In Figure 11-30(see attatched), a constant horizontal force F_app of magnitude 12 N is applied to a wheel of mass 8 kg and radius 0.70 m. The wheel rolls smoothly on the horizontal surface, and the acceleration of its center of mass has magnitude 0.75 m/s2. (a) In...

Homework Statement A car travels at 75 km/h on a level road in the positive direction of an x axis. Each tire has a diameter of 60 cm. Relative to a woman riding in the car, what are the following values? (a) the velocity v at the center of each tire [0 m/s] (b) the velocity v at the...

Sorry here is another question that I am not sure of 1. A cylindrical hoop rests on a rough uniform incline. It is released and rolls without slipping through a vertical distance h[SIZE="1"]0. It then continues up a perfectly smooth incline. What height does it reach? Here is my...

Homework Statement Consider a homogenous ball constrained to move on a horizontal plane. Show that when the ball is rolling without slipping on the plane, then the total horizontal force on the ball must be zero. HINT: Consider the ball as a rigid body and suitably combine the equations...

How can I show that when a ball is rolling without slipping on a horizontal plane, the total horizontal force on the ball must be zero? I guess I should consider the ball as a rigid body and combine the equations describing the rotation with the rolling constraints, but how? Can someone give...

You have a cylinder (with radius R) rolling horizontally on a surface with kinetic friction of u(mu). I understand that the horizontal acceleration is u*g b/c: ma = u*(mg) a = u*g and then you have a = r (alpha_z) thus I'd figure alpha_z is just u*g/R, but the book gives a...