Rolling Definition and 1000 Threads

I'm trying to get the position vector of the offset mass relative to the inertial frame of reference. Do I account for the fact that the disk has rolled a little bit with respect to the inertial frame of reference? With that, I have r,vector = d n1 + R n2 + R/2 er = R*theta n1 + R n2 + R/2 er...

Hi, Consider a ball rolling upward without slipping on an inclined plane. What is the direction of the force of static friction? Let me explain what confuses me. I know that the friction opposes the tendency of the motion. If we consider the whole motion of the ball as upward, then the...

Homework Statement This is regarding the following problem: http://s24.postimg.org/bmaa4a65h/sphere_in_bowl.png Homework Equations I will be referring to this drawing: http://s22.postimg.org/6zl9mw9zj/drawin.png The Attempt at a Solution Let me just show first how I got my answer and I'll...

I have a problem involving the rotational version of Newton's Second Law. A spool is resting on a tabletop. A wire is wound around it counterclockwise and the free end of the wire goes over a pulley (located to the right of the spool) at the end of the table and attaches to a hanging mass. What...

This is from an old course I took. I'm not sure what I'm doing incorrectly. Homework Statement Two identical bowling balls are rolling on a horizontal floor without slipping. The initial speed of both balls is V = 9.9 m/s. Ball a encounters a frictionless ramp, reaching a maximum height...

Homework Statement Uniform sphere of mass ##m## and radius ##r##, rolling without slipping on a horizontal surface at a velocity ##v_0##, hits the end of a rod of length ##l## and mass ##10m##, hanging on a hinge (Figure). Determine how the ball will move and the rod after the impact. What time...

Homework Statement http://puu.sh/2fjvF If a ball rolls off a ramp like in the diagram, what happens in terms of vertical and horizontal components? Neglecting all friction etc, I understand the horizontal component would not change, but what happens when it comes off the ramp? Does the...

suppose a rigid ball roll on a rigid level with constant velocity , the friction on the contact surface decrease the forward velocity but increase angular velocity , how do you explain this paradox?

Homework Statement A 1.2 g pebble is stuck in a tread of a 0.76 m diameter automobile tire, held in place by static friction that can be at most 3.6 N. The car starts from rest and gradually accelerates on a straight road. How fast is the car moving when the pebble flies out of the tire...

Homework Statement A 1.2 g pebble is stuck in a tread of a 0.76 m diameter automobile tire, held in place by static friction that can be at most 3.6 N. The car starts from rest and gradually accelerates on a straight road. How fast is the car moving when the pebble flies out of the tire tread...

suppose a rigid ball have pure rolling with constant velocity on rigid level without friction , is it possible ?

hi everybody I have two questions releted to rolling motion and I want the answer for these questions if you can please the first problem: when a cylinder rolling in surface which has friction and suddenly the friction gone and the surface become frictionless. The question is will the cylinder...

In a rolling process, the state of stress of the material undergoing deformation is a) pure compression b) pure shear c) compression and shear d) tension and shear Which one is the correct option ? Please explain why !

Homework Statement Rolling Motion Theoretically, a=⅔g sin θ suggests a nonlinear relation between a and θ. Since a linear graph is a very convenient method of testing theoretical equations, it is a good idea to first linearize a=⅔g sin θ. A simple way to do this is to assign a as the...

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...

Hi all you physics people... we are building a high-speed robotic camera dolly here in LA for a film, and are trying to make sure we calculate our torque requirements correctly. The maximum torque required to propel a wheeled vehicle up an incline at a given acceleration is fairly easy to...

Problem: In beginning mechanics physics labs, it is very often the case that you get large experimental error. This can be due to a number of factors, friction, of course, being a major player. However, it can also be the case that you might be comparing apples to oranges. For example, if you're...

Homework Statement This is Problem 6.34 from Kleppner: A marble of radius b rolls back and forth in a shallow dish of radius R. Find the frequency of small oscillations. R>>b. Apparently, the answer is \omega=\sqrt{\frac{5g}{7R}}.Homework Equations The Attempt at a Solution Ok so I have my...

A model car with a main body mass M and four wheels each with mass m is rolling down a track at velocity v, when it encounters a step of height b, which is less than the wheel radius r. The wheels are rolling, not sliding, and we know the moment of inertia around their respective centers and...

Homework Statement In rotational dynamics, a typical problem would be along the lines of a ring with mass m and radius r rolling down a hill with angle θ to the horizontal. Find the acceleration of the ring. Homework Equations Ʃτ=I\alpha = r x (friction) ƩF = ma = mgsinθ - (friction)...

Homework Statement only concerned with part (b) Homework Equations F = ma The Attempt at a Solution So first, just to visualize the problem a bit better, I transformed to the frame of an observer co - moving (but not rotating) with the wheel. Since the wheel is moving at constant...

An object (for example cylinder) is rolling down an incline, with no slip. We know there is some friction and we have to find the velocity of the objects. There are 2 ways of doing so with calculating resultant force and using Newton's laws and the energy method. Why is it that when we are using...

Homework Statement If you start a coin rolling on a table with care, you can make it roll in a circle. The coin "leans" inward, with its axis tilted. The radius of the coin is b. The radius of the circle traced by the coin's center of mass is R, and the velocity of its center of mass is v. The...

hi pf, the more i think i have understood classical rotational mechanics the more it turns out to be clumsy? i am just not able to understand the slipping and rolling of bodies? somewhere friction comes into play and somewhere dont? "if a body rolls without slipping such that velocity of COM...

Hello, this is not really a homework question, but a question on a specific problem so I thought it belonged here rather than the General Physics subforum. This is a problem that was asked in our final exam, and I have doubts about it's "correct" solution. Here's a paint art to explain the...

Homework Statement There are two objects rolling down a hill of incline theta, one is a sphere and one is a disk, each of equal radius and mass. Which one gets down first and how much faster than the other? What's the coefficient of static friction of the hill? Homework Equations Moment...

Hi everyone, http://www.freeimagehosting.net/newuploads/wt15k.jpg In the picture there is a rack at the bottom and there is a gear above it. The gear is on a axis which can move on a horizontal line and the gear can rotate without friction between the axis and the horizontal housing. 1) If...

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)

we know that in rolling motion the top of drum has linear velocity 2v if the centre of mass has linear velocity v. thus if a board moves over a drum without slipping it wil roll 2vt=2L if the center of mass moves vt=L in time t, and this result is independent of size of the drum. but when i do...

1. Homework Statement As shown in the figure to the right, a spool has outer radius R and axle radius r. A string is wrapped around the axle of the spool and can be pulled in any of the directions labeled by I, II, or III. The spool will slide to the right without rolling on the horizontal...

A massless string is wrapped around a 10 kg cylinder. the picture will look like the letter b. you pull upward on the string with a force of P = 49N. The bottom of the cylinder s on horizontal table and will roll w/o slipping. using dynamics involving center of mass, find the magnitude and...

Homework Statement Part 1: Three objects, a solid cylinder, solid sphere, and a hoop all have equal radii and mass. They all roll down the same incline. Which of the following statements is true about the kinetic energy K of the of the objects after they have rolled down the incline and...

Homework Statement Well as I said what is the chance of getting at most one six when rolling two dice twenty times? Homework Equations I know the probability of getting one six in one roll with two dice is: 11/36 And not getting one is: 25/36 The Attempt at a Solution...

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...

Homework Statement Hi, I have been asked to find the moment of inertia of a rolling ball. The ball can be any size and radius. I have chosen a solid ball. The experiment says that I should roll the ball down a ramp and then measure the time it takes for the ball to roll from the end of...

Hello, I am currently reading about what was given in the title of this thread. In my book, it discusses the motion of a cylinder rolling on a surface without slipping; the cylinder is rotating about an axis, and it's center of mass has translational motion. What exactly do they mean rolling...

Homework Statement Not actually a problem, I'm just curious why: when calculating total kinetic energy during rolling, you have the translational kinetic energy=0.5mv^2, and the rotational KE=0.5Iω^2. But then ω=v/r, so rotational KE=0.5I(v/r)^2. And for some reason, the v in both equations...

If a ball is given a velocity, and left on horizontal rough floor then after what distance it will stop rollig (slippingis absent) ? Explain with force and torque acting on it .

Energy, Angular Momentum, Torque, solid ball rolling down loop track? help!? A solid brass ball of mass .280g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 14.0 cm, and the ball has radius r<<R. (a) What is...

What is the significance of gravity on the torque of balls rolling down an incline? I know that gravity is able to exert a force, or torque by acting on the center of mass, causing an object to rotate. But what about rolling motion? Where would the axis of rotation be for a ball rolling down...

Hello everyone, This is my first thread so thanks in advance for any help! I have been trying to figure out this problem, and though I've gotten close to an end solution (also with the help of motion analysis on Solidworks) I am not very confident. So, in order to meet an IEC standard of a...

Homework Statement Basically there's a ramp; its inclined plane has length "a", the base has length "b" and its height has length "c". The ramp is stationary, but it has wheels under it. The ramp weighs 120N. The center of mass of the ramp is located at 2/3 of "b" on the horizontal axis...

I was walking down the street kicking and apple (why? I don't know) and I noticed that an apple, after a couple of bounces, always rolls on its side. It doesn't roll over it's stem continuosly. I was wondering why?

Homework Statement The cylinder is released from rest on the inclined plane. The coefficient of friction between cylinder and plane is μ. Determine the motion of the cylinder, assuming that μ is large enough to prevent slipping. Homework Equations The Attempt at a Solution ok don't...

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...

In the following, we have a sliding sphere, when it meets a floor with friction. I want to use the angular impulse method to find an expression of the v when pure rolling starts. [sorry I have no idea how to type in latex.] This is obviously incorrect. But I can't find out what's...

Homework Statement Two solid spheres -- a large, massive sphere and a small sphere with low mass -- are rolled down a hill. Which one reaches the bottom of the hill first? Homework Equations ICM= (2/5)MR2 The Attempt at a Solution I thought that this would be the smaller sphere...

This a question from my 131 "masteringphysics.com" hw. A cylindrical hoop has radius 10.0 cm and mass 0.550 kg. It rolls from rest a distance of 5.70 m along a board which is tipped up by an angle 18.0 degrees from horizontal. Regard the hoop as being much thinner (in the radial direction)...

I just want to know if I am understanding this correctly. I am wondering what effect the rolling resistance has on the motion of a car when pushed, or when rolling to a stop. The mass of the car is 1,000kg. I looked up on a table to find the rolling resistance coefficient of a normal car...