Rolling Definition and 1000 Threads

hi are every one know about parallel robot with rolling pairs for example one sphere rolling pn the fixed sphere. my quastion is the application of this structure. tnx hossein

hi , every one! I have a problem with a sphere rolling on a fixed sphere. My problem is to find relationship between coordinate of center of sphere (X,Y,Z) and orientations (alpha, beta, gamma) or Euler angles of sphere. as we know a sphere has 6 DOF in space (3 coordiantes and 3 rotation) when...

Consider the rolling cylinder in the figure To describe the cylinders translational motion, I have Ma=G sin \theta - f a is the acceleration of the cylinder parallel to the slope. If you have an object (cylinder or not) sliding down the same slope without friction, with the same...

Greetings, I have a peculiar terminological issue. In a research paper I am writing, I need to distinguish between rolling wheels and rolling balls. The relevant difference for my purposes is that a wheel rotates around a single axis whereas a ball rotates around a single point. It's...

A wheelbarrow is released from rest and, with constant acceleration, goes down a hill. Between 3seconds and 5seconds, the displacement is 12m, and between 9s and 11s, the displacement is 48m. What is the acceleration? i'm not sure how to do a question where the intervals are not beside each...

Homework Statement A question I had in an exam today, just wanted to see whether it was right: A ball is rolling down the inside of a concave surface. The radius of the ball and the curvature of the surface is such that there is no slide. Is work done by a) the friction force b) the Normal...

I am in a disagreement with someone on another forum. There is wheel with a freewheeling hub constrained to roll on a particular surface by applying force to the hub in the horizontal x direction. This person claims the tangential force applied to a wheel from the surface will also act on the...

Homework Statement So rigid body (ring, cylinder, sphere), who's radius of gyration is known, rolls down an inclined plane without slipping. Find velocity as a function of height. m - mass of the body. y0 - initial height, g - gravitational acceleration, v - speed. I - moment of inertia, K -...

Hi everyone, not a homework problem, just something I was thinking about when I found in a book. Homework Statement A hollow Cylinder is rolling down an incline of angle theta. Inside the cylinder is a smaller solid cylinder rolling freely inside it. (Refer to diagram) Given an x...

Homework Statement Assuming smooth rolling with no resistance, it can be shown that the acceleration of a solid cylinder down an incline is equal to: a = 2/3 g sin(theta) The goal of my lab is to test the validity of the above equation Homework Equations The Attempt at a...

A small diameter (2.00 mm), solid steel ball rolls from rest, without slipping, down a track and into a loop-the-loop of 1.50 meters diameter. Between the starting point on the track and the top of the loop the ball converts 10.0% of its initial mechanical energy into other forms of energy. From...

Can I get some help with this? You have two dice. What is the probability of rolling a "3" total before rolling a "7" total?

Homework Statement At the end of the lecture in http://ocw.mit.edu/OcwWeb/Physics/8-01Physics-IFall1999/VideoLectures/detail/embed13.htm , Prof. Walter Lewin compares the motion of a slider on a circular air track (no friction) with the motion of a ball on a circular path (with friction)...

Well I know that P.P says that for m objects, and n boxes, where m > n, there must be one box of n that contains at least two or more objects. It seems simple, but the application is not. So for the given problem, like a There are 6 sides for a single die. And I thought I should do 6^2...

I have some difficulties on calculating the reduction on cold rolling process but mi signs is negative. Is that normal? Cheers

If a cylinder is rolling without slipping, C is the centre of zero velocity for a moment and O is the centre Does the angular rotation about O equal to the angular rotation about C, or is there only one angular rotation when a cylinder is rolling, that is the rotation about the point of...

Ball sliding down smooth curve Homework Statement A mass of 2 kg is dropped vertically into a frictionless slide located in the x-y plane. The mass enters with zero velocity at (-5,5) and exits traveling horizontally at (0,0). Assuming the slide to be perfectly circular in shape construct a...

1. The problem statement, all variables and given known data A solid disk of radius 1.60 m and mass 2.30 kg rolls without slipping to the bottom of an inclined plane. If the angular velocity of the disk is 4.9 rad/s at the bottom, what is the height of the inclined plane? Homework...

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...

Homework Statement A bowler throws a bowling ball of radius 11.0 cm along a lane. The ball slides on the lane with an initial speed of 8.10 m/s and an initial angular speed of zero (i.e. the ball is not spinning at all when it first makes contact with the lane). The coefficient of kinetic...

Homework Statement Suppose the hoop were a tire. A typical coefficient of static friction between tire rubber and dry pavement is 0.88. If the angle of the slope were variable, what would be the steepest slope down which the hoop could roll without slipping? The Attempt at a Solution...

I've seen a number of posts on the following question, but don't believe any contain a solution to the following very simple scenario: A sphere of radius r and mass m rolls down a plane inclined at theta degrees. What are its linear and angular velocities at any time t thereafter, assuming it...

If you’ve ever played the game of Yahtzee, you’ll know that often times, the last line to be filled in is YAHTZEE. Let's say I want to calculate the probability of rolling Yahtzee on a single turn. To this end, suppose that after you roll five dice, you are allowed to select any of the five dice...

Homework Statement A smooth inclined plane with inclination \theta is fixed in a car accelerating on a horizontal surface with a=gtan(\theta).A sphere is set pure rolling on this incline. Will it continue pure rolling? The Attempt at a Solution My idea is to find the linear...

Homework Statement A disk of mass 6 kg and outer radius 60 cm with a radial mass distribution (which may not be uniform) so that its moment of inertia is \large_{{\frac{2}_{7}}mR^2}. The disk is rotating at angular speed 7 rad/s around its axis when it touches the surface, as shown. The disk...

Homework Statement Plank of mass M = 8 kgr is installed on the same two tubes (very small thickness) radius R and mass m = 2 kgr. Initially the system property. A horizontal force F = 40 N applied to the board and the tubes rolled without sliding (Ic = mR^2). When the board shifted s = 2m on...

Hi, Wondering if you gals/guys could help me here. For simplicity sake, say you have slot machine. To win the game all four balls must appear in four slots. Three of the balls are blue and one red. The 2nd slot is reserved for the blue ball. As for the red balls, they can only appear in the...

Homework Statement A hollow spherical shell with mass 1.50 kg rolls without slipping down a slope that makes an angle of 39.0^\circ with the horizontal. a) Find the magnitude of the acceleration a_cm of the center of mass of the spherical shell. b) Find the magnitude of the frictional...

Homework Statement "A 0.18-kg billiard ball whose radius is 2.8 cm is given a sharp blow by a cue stick. The applied force is horizontal and the line of action of the force passes through the center of the ball. The speed of the ball just after the blow is 3.9 m/s and the coefficient of...

Homework Statement An 0.80-kg cart rolls down a 30.0° hill from a vertical height of 0.50 m. The distance that the cart must roll to the bottom of the hill is 0.50 m/sin 30.0°=1.0 m. The surface of the hill exerts a frictional force of 5.0 N on the cart. Does the cart roll to the bottom of the...

Homework Statement a ball rolls off the top of a stairway with a horizontal velocity of magnitude 1.50m/s. The steps are 20cm high and 20 cm wide. Which step will the ball hit first?Homework Equations d = v1t + at^2 a = -9.8m/s^2 t= 2viSinθ/ 9.8 horizontal displacement = vi^2Sin2θ/ 9.8 The...

Let's say that a basketball was rolling on a road. A completely level road. A road that wasn't downhill or uphill, just straight. So, as its rolling, what forces are working against it? I'm thinking of 3. Gravity and friction. Also wind resistance. Am I correct? Would the wind resistance be an...

Homework Statement The point on the bottom of a rolling object is instantaneously at rest (v = 0). What is the acceleration of that point? Homework Equations The Attempt at a Solution The formula given is a = \alphar, and r = 0. So I'm guessing it's zero as well, although that...

Hi guys, I thought of something when I was rolling something. In a nut shell, why is it easier to roll an object once it started rolling, and what would be the force required to keep the object rolling? Let's use a car as an example, when you push the car, it will only start rolling once...

Homework Statement A solid cylinder of mass 10 kg is at rest atop a 10m high ramp inclined at an angle of 37 degrees. The cylinder is released and rolls, without slipping, down the incline. Then, the cylinder rolls across a rough 1-m long table that is 2m above the ground. Finally, the...

Homework Statement A wheel with spokes rolls without slipping on the ground. You take a picture with a stationary camera from the side of the wheel. Because the wheel is moving and the camera has a nonzero exposure time, the spokes are usually blurred. At what points in the picture do the...

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 An assembly line has a staple gun that rolls to the left at 1.0 m/s while the parts to be stapled roll past it to the right at 3.0 m/s. The staple gun fires 10 staples per second. How far apart are the staples? Homework Equations I am lost but I still came up with an...

Homework Statement A 60cm diameter wheel is rolling along at 20m/s. What is the speed of a point at the front edge of the wheel? Diameter - .6m Velocity - 20m/s Answer - 28m/s Homework Equations v = r(omega) Pythagorean theorem The Attempt at a Solution I tried to get...

in the attached figure A wheel in rolling on a surface by getting a torque about it's center(as in a car) In this figure what will be direction of rolling resistance?

[Urgent] Rolling Friction Homework Statement How would you calculate a rollin friction? I have a toy car and it is going down the ramp that is 12 degrees above the horizontal. im very new with this. the car's Radius is 0.3cm. what experiment would i have to find this out? please i...

Among a hoop, disk and solid sphere of the same radius, which - without slipping - would descend an inclined plane fastest?

Homework Statement I preformed a experiment to find the joules of work taken for my elastic band car to travel a distance of 18.1 meters Does my result seem correct?

A barrel of oil with a mass of 65 kg is rolled down a 1.2 m ramp. Due to a constant force exerted on it, the barrel reaches a velocity of 4.2 m/s just on leaving the ramp. Find the constant force on the barrel while it is on the ramp and express your answer in the form of a sentence relating...

I'm trying to describe the cycloid described by a wheel rolling inside a circle: The (rotor)vector attached to the center of the rolling wheel is described by this equation: r = r cos(w t)e(x') + r sin(w t)e(y') w is the angular velocity of the wheel, e(x') and e(y') are the unit vectors and t...

Homework Statement A solid metal ball of radius 0.500m, and a mass of 1.50 kg, is found to be rolling down a sloped floor whose angle is 30.0° to the horizontal (assume no slipping). The ball has a final angular velocity of 2.00 rad/s. What is the total energy of the ball when it it is 2.00m...

Homework Statement I have this problem on my physics exam and I hoped you guys could help. The Question is: Why is the relationship between the average velocity and the height of a ball rolling down a slope a square root function? The slope is 100cm long, the height of the ball at the top of...

Homework Statement A 0.300 kg hollow sphere is rolling along a horizontal floor at 5.0 m/s when it comes to a 30 degree incline. How far up along the incline does it roll before reversing direction? Homework Equations Kinematics equations? The Attempt at a Solution I didn't...

1. The problem: A Uniform right-cylinder of radius a is balanced on top of a perfectly rough (so that only pure rotation occurs) fixed cylinder of radius b (b>a), the axes of the two cylinders being parallel. If the balance is slightly disturbed, show that the rolling cylinder leaves the fixed...

This is a concept question from a previous final physics exam. The correct answer is (b) and my professor confirms this, but I can't understand why the answer is not (d) since the question seems to imply that the ball is already in rolling motion and that friction would not play a part. A...