Hey guys, I need help understanding why it is static friction that is involved in pure rolling motion?
From what I remember in translational motion, when the maximum static friction force is overcome, then the given object/particle/body will start accelerating. Otherwise, the...
Homework Statement
A hollow cylinder (hoop) is rolling on a horizontal surface at speed v = 3.8 m/s when it reaches a 14^\circ incline. how far up the incline will it go
Homework Equations
mgH = .5mv^2 + .5Iw^2
v=sqrt(10/7 *g * H)
The Attempt at a Solution
i need to solve for...
Homework Statement
A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. The small wheel has a radius of 2.0cm and accelerates at a rate of , and it is in contact with pottery wheel (radius 25.0 cm)without slipping. Calculate (a)...
I have one last question due on my physics homework that is due in a few and no one seems to understand how to do it. Please help :)
A solid sphere of mass 0.595 kg rolls without slipping along a horizontal surface with a translational speed of 5.16 m/s. It comes to an incline that makes an...
Having a problem with a gravity cart delivery system.
The cart has (4) casters, (2) rigid & (2) swivel. They load the cart in with the swivel casters leading. The rack slopes down say 10-15 degrees (don't know the angle yet, will check today).
The problem is the cart rubs on the side guide...
I have this math problem for school that I need help with
A ball is rolling down an inclined plane. The equation I have is y = .165x^2 + .997x + .845 where y is the distance traveled and x is the time taken
I want to predict the distance it has rolled in 2 days, which I can do
but what...
I have this math problem for school that I need help with
A ball is rolling down an inclined plane. The equation I have is y = .165x^2 + .997x + .845 where y is the distance traveled and x is the time taken
I want to predict the distance it has rolled in 2 days, which I can do
but what...
Homework Statement
"A bowling ball rolls without slipping up a ramp that sloped upward at an angle B to the horizontal. Treat the ball as a uniform, sold spehere, ignoring the finger holes. a) explain why the friction force must be directed uphill. b) what is the acceleration of the center of...
Homework Statement
A constant horizontal force \vec{F} is applied to a lawn roller in the form of a uniform solid cylinder of radius R and mass M. If the roller rolls without slipping on the horizontal surface, show that (a) the acceleration of the center of mass is \frac{2\vec{F}}{3M} and (b)...
[SOLVED] Force Problem
The total mass is 2300kg (weight = 5072lbs). Find the size of the force due to wind and rolling friction when the van speed is 42.17mph (1mph= 0.447m/s).
This is the graph: http://capa-new.colorado.edu/msuphysicslib/Graphics/Gtype12/prob09a_1004minivan.gif"
F = ma...
[SOLVED] Classical mechanics: ball rolling in a hollow sphere
Homework Statement
This problem is from Gregory:
A uniform ball of radius a and centre G can roll without slipping on the inside surface of a fixed hollow sphere of (inner) radius b and centre O. The ball undergoes planar...
We did a lab, where a cart was rolled down a ramp and a tickertape was attached to the cart as it rolled down. When the cart finished the course of rolling down, a line was drawn across the tape through every sixth dot to show that it is an interval of 0.10s.
Then we had to make 3 graphs...
I'd like to see an example of a formula describing the position of a rolling ball over time. It has been given one impuls at the start, after which air resistance and friction decelerates it (the ground is flat). At high speed the ball might be sliding, until it decelerates to some treshold...
Homework Statement
Given the following variables find how far the ball will land away from the point it leaves the ramp to the point it hits the ground.
Vertical:
Delta X= 1m
Velocity Final= ?
Velocity Initial= ?
Acceleration= -10 m/s^2
t= ?
Horizontal:
Delta X= ? <- Objective...
Hello to all.
I am a golf course designer and am researching information on the slope and the roll of a golf ball on different greens speed.
I am attempting to determine a golf ball rolling on "X" slope will not stop on "Y" surfaces(friction coefficient)
My interest is in a golf ball...
Sphere/disk rolling down an incline HELP!
Homework Statement
a ball, or sphere with a radius of R and mass Mis rolling down an incline with a height of H and an angle of \Theta how long does it take to get to the bottom
Homework Equations
Conservation of mechanical energy
Kf +...
Okay, 3 problems I can't seem to get the right answer for..
1. A 2.30-m-long pole is balanced vertically on its tip. It starts to fall and its lower end does not slip. What will be the speed of the upper end of the pole just before it hits the ground? [Hint: Use conservation of energy.]
GPE...
For a wheel in pure roll, or smooth rolling motion, with constant angular velocity, \omega, the velocity of the point on the top of the wheel is 2v_{com}, and the velocity of the point at the bottom of the wheel is 0. (all relative to the ground)
However, since centripetal acceleration is...
[SOLVED] Probability of Rolling a 5 or 7
Homework Statement
A pair of dice is rolled until a sum of either 5 or 7 appears. Find the probability that a 5 occurs first.
Homework Equations
Axioms and basic theorems of probability.
The Attempt at a Solution
There are 36 possible outcomes...
Hello, new poster here.
I have trouble understanding some friction/resistance properties and how they are applied to rolling & linear motion simultaneously.
I've done a lot of simple static / dynamic (sliding) friction examples as well as rolling without taking into account resistance, but...
Homework Statement
A solid sphere of mass 0.599 kg rolls without slipping along a horizontal surface with a translational speed of 5.31 m/s. It comes to an incline that makes an angle of 33° with the horizontal surface. Neglect energy losses due to friction.
(a) What is the total...
Homework Statement
A billiard ball (of mass m and radius a) is struck by a cue and moves off with initial speed u, sliding (without rotation) along the table top. After what time will the ball roll rather than skid, if the frictional force between the ball and the table has magnitude qmg...
A bicycle racer is going downhill at 11.0m/s when, to his horror, one of his 2.25kg wheels comes off when he is 75.0m above the foot of the hill. We can model the wheel as a thin-walled cylinder 85.0cm in diameter and neglect the small mass of the spokes.
I need to get the velocity at the...
Ok,
First of all, for the formulas torque = r X F
If the object is being rotated around an axis parallel to the axis going throught the center of mass, what is the "r" in this case? is it the distance from the axis of rotation to the center of mass? And in what direction would the force...
Homework Statement
A rolling ball traveling horizontally with a certain initial translational velocity comes to a hill with a defined height. Upon reaching the top, it flies off of a cliff and falls to the ground and ends up at the same relative height that it began at. If the final diagonal...
Homework Statement
A hollow spherical shell is rolling without slipping or sliding down a board that is tilted at an angle of 35.0° with respect to the horizontal. What is its acceleration?
Homework Equations
I=2/3mr^2
if an object rolls without slipping or sliding:
v = rw...
Homework Statement
a roof makes an angle of 30deg with the horizontal. A ball rools off the edge at a speed of 5.0 m/s. The distance to the ground is 7meters. How long is the ball in the air?
Homework Equations
0=Vot-1/2gt^2+y
t=(vo+/- sqrt(vo^2-(4*gy)))/g
The Attempt at a Solution...
Pebble in a rolling tire -- finding velocity and acceleration
Homework Statement
ou are to find the coordinates of a pebble stuck in the tread of a rolling tire that is rotating counterclockwise (i.e., in the positive sense) with angular velocity w. The tire rolls without slipping on the...
HI there, I'm a practicioner of Parkour, which is a discipline that involves training to allow yourself to pass any obstacles simply using your body.
One of the movements which we use is a roll, designed to aid landing from height.
As I understand it, the basic idea is that the roll...
Homework Statement
You are to find the coordinates of a pebble stuck in the tread of a rolling tire that is rotating counterclockwise (i.e., in the positive sense) with angular velocity omega. The tire rolls without slipping on the ground (which is at y = 0 ). The outer radius of the tire is...
Homework Statement
A ball of mass 2.80 kg and radius 0.148 m is released from rest on a plane inclined at an angle θ = 38.0° with respect to the horizontal. How fast is the ball moving (in m/s) after it has rolled a distance d=1.55 m? Assume that the ball rolls without slipping, and that its...
Homework Statement
A ball of mass 2.30 kg and radius 0.142 m is released from rest on a plane inclined at an angle q = 42.0° with respect to the horizontal. How fast is the ball moving (in m/s) after it has rolled a distance d=1.35 m? Assume that the ball rolls without slipping, and that its...
HELP - Energy of a rolling sphere (no radius??)
Homework Statement
A solid sphere of mass 0.602 kg rolls without slipping along a horizontal surface with a translational speed of 5.18 m/s. It comes to an incline that makes an angle of 34degrees with the horizontal surface. Neglecting energy...
A 500g, 8.0-cm-diameter can rolls across the floor at 1.0 m/s. What's the can's kinetic energy.
I solved this using:
K = \frac{1}{2}*I*(\frac{v}{r})^{2}
and for some reason I get 1/3 the answer. So I multiplied it by 3 at the end. Is there something wrong with the formula I'm using...
A 1kg ball rolls along a circular track that is banked at 20 degrees. The normal force on the ball is 10.43N, tilted inward. The radius of the track is 10m.
a. What is the net force on the ball (include direction)?
b. How fast is the ball going for it to complete the turn?
possible...
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 2450kg (weight = 5402lbs). Find the size of the force due to wind and rolling friction when...
Homework Statement
A uniform hoop of mass m and radius r rolls without slipping on a fixed cylinder of radius R. The only external force is that of gravity. If the smaller cylinder starts rolling from rest on top of the bigger cylinder , use the method of lagrange multipliers to find the point...
Homework Statement
A 12g CD with a radius of 7.0 cm rotates with an angular speed of 35 rad/s.
What is its kinetic energy?
Homework Equations
The Attempt at a Solution
I used K=(1/2)mv^2(1+I/mr^2)
v=\omegar=(35rad/s)(0.07m)=2.45m/s
K=(1/2)(0.012kg)(2.45m/s)^2(1)=0.36
And...
Word for word:
A50,000kg locomotive is traveling at 10 m/s when its engine and breaks fail. How far will the locomotive roll before it comes to a stop?
Rolling friction for rubber on concrete is 0.02 (by the book)
a= fnet/m = (umg)/m so mass cancels out leaving a = ug = .02(-9.8) =...
All the drums weigh the same...one has greater surface area , one has center of mass in the middle...and one has center of mass at an end.
Which will get to the ground first?
When I think I am starting to understanding mechanics, I spot questions like these... If I am having problem w/...
Homework Statement
Two bicycle tires are set rolling with the same initial speed of 3.00 along a long, straight road, and the distance each travels before its speed is reduced by half is measured. One tire is inflated to a pressure of 40 and goes a distance of 17.2 ; the other is at 105 and...
Homework Statement
A 684 kg automobile is moving at 13.2 m/s at a height of 5.0 m above the bottom of a hill when it runs out of gasoline. The car coasts down the hill and then continues coasting up the other side until it comes to rest. Ignoring frictional forces and air resistance, what is...
[SOLVED] Rolling Friction
Homework Statement
Rolling Friction. Two bicycle tires are set rolling with the same initial speed of 3.30 m/s along a long, straight road, and the distance each travels before its speed is reduced by half is measured. One tire is inflated to a pressure of 40 psi...
2-D kinematics[solved]
Homework Statement
A ball rolls horizontally off the edge of a tabletop that is 1.90 m high. It strikes the floor at a point 1.57 m horizontally away from the table edge. (Neglect air resistance.)
(a) How long was the ball in the air?
(b) What was its speed at...
Homework Statement
So I need to get a rough calculation:
At what angle does drops of water start rolling down a plane of glalss.
This is for my project where we are using a solar still to purify water. I just need ot get a rough calculation so I know at what angle to tilt the plane of glass...
Homework Statement
Imagine a cannon that is free to roll on wheels. Initially, both the cannon and cannonball are at rest. When the cannonball is fired, though, the momentum transferred to the cannonball comes at the expense of the cannon, so the cannonball and cannon end up with momenta...
Homework Statement
Hello, new here. I'm doing homework for my Honors Physics class, and I have a kinematics problem that seems simple enough, but I just can't get it. Help, please?
A ball is rolling on a table 1.225 m high at 6 m/s. After it rolls off, how long does it take to hit the...