Homework Statement
We are familiar with the problems like this:
A rolling disc with a mass on it at the radius of r from the center of the disc. In this type of problems we know in advance that the mass turns with the disc and so has a circular motion. Then since this is a circular motion with...
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...
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...
Homework Statement
A solid cylinder m2 is attached to an object m1 by a massless rope which passes over a pulley m3 shown below. The cylinder rolls without slipping down the incline and the rope does not slip on the pulley. The system is released from rest when the cylinder is a given distance...
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...
Homework Statement
A hoop, rolling at a constant velocity of 4m/s, rolls up a hill .8 m tall on to flat surface .
a) what percent of its initial total K.E. ( before rolling up the
hill) is due to rotational K.E.
b) how fast is it moving on top of hill.
Homework Equations
i=mr2
w=vr...
Homework Statement
Upon application of the 10-N force F to the cord in Figure P5.3, the cylinder begins to roll to the right. After C has moved 5 m, how much work has been done by F?
do not have picture so let me decribe the picture: 1) cylinder with radius .5m is on the ground 2) the cord...
My prof really confused me.
Given a rolling sphere, which way does the friction point to?
http://img187.imageshack.us/img187/7968/rolling1.png
http://img338.imageshack.us/img338/8753/rolling2.png
I think it probably matters if the ball is purely rolling or partially skidding, but I'm not...
Homework Statement
A solid disk (mass = 5 kg, R=0.9 m) is rolling across a table with a translational speed of 8 m/s.
What is the total KE of the disk?
Homework Equations
K = the sum of (1/2 x mass initial x velocity initial^2)
(in my textbook, there are other derivations of this formula...
When an object is said to be under pure rolling, what friction does it experience? Static, kinetic or rolling friction?
If its not rolling but rather just rotating and translating, what friction does it experience?
If a rolling body is kept on a surface of certain friction constant, does the...
Homework Statement
The mass center G of a 5kg wheel of radius R = 300 mm is located at a distance r = 100 mm from its geometric center C. The centroidal radius of gyration is k = 150 mm. As the wheel rolls without sliding, its angular velocity varies and it is observed that it is = 8 rad/s in...
Homework Statement
Question
A disk is initially stationary on a platform. Force P is exerted on the platform. Mass of Disk is MD and Mass of Platform is MP.
Determine the minimum coefficient of friction in order for the ball to not roll.
What is the acceleration of the ball as seen from...
if a cylinder rolls down and incline without slipping
then i decrease the coefficient of friction and it does slip a little will it have more, less, or the same kinetic energy as before
I think less, my physics teacher says the same
Homework Statement
A uniform density sphere is released such that it has an angular speed of 10 rev/sec and no initial linear velocity. The angular velocity vector is perfectly perpendicular to the linear momentum vector. Initially the ball slips as it moves along the surface, but after...
Homework Statement
A 20-cm-diameter, 6.0kg bowling ball rolls along a horizontal floor at 4.0 m/s. The ball then rolls up a 2.0-m-long ramp sloped at 30 degrees up from horizontal. Rolling friction is negligible. What is the ball's speed at the top of the ramp?
Homework Equations...
Sorry, the title is wrong, it's hoop rolling UP an incline
Homework Statement
In a circus performance, a large 3.8 kg hoop
with a radius of 1.8 m rolls without slipping.
If the hoop is given an angular speed of
5.5 rad/s while rolling on the horizontal and is
allowed to roll up a ramp...
Why is it that a vehicle travels further when skidding with locked wheels than when decelerating with rolling, braked wheels in conventional, non-abs vehicles.
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...
Hi friends
Let me talk in context of cars wheels...
See!, tractive force is what ground offers us depending upon the weight of wheels or particularly car. It is the maximum force that ground offers us opposite to the force we apply to ground in the form of torque(t=rxf)... if we aplly more...
Homework Statement
A small puck is placed on a disk spinning with angular speed OMEGA around axis perpendicular to the disk and passing through its center. The coefficient of static friction between the disk and the puck is MU. At what distance(s) from the center of the disk will the puck...
The basic idea is this. You get to roll 5 or 6 12-sided dice (d12). For any 12's your roll, you every 12 you roll, you get to roll another d12, and if any of those result in 12's, you get another d12. What I have been trying to figure out is what is the average number of dice rolled and the...
This isn't homework, but I thought that it's probably better in here, as it's a fairly quick question.
OK, so I have 2 identical balls (exact same mass and radius). They rest on the same position on 2 identical slopes (same gradient) and begin to move down the ramps. The only difference is...
need help with rolling sphere problem...
Homework Statement
i have to design a track for a rigid sphere moving under the force of gravity. I need to come up with two paths/curves in the vertical plane and prove which one is the fastest. Origin point is (0,0) and ending point is (3,-1.5)...
Homework Statement
You go to a quick – fix garage to get your brakes worked on. When your tires are re – installed, the mechanic forgets to put the lug nuts on your tires. Although nobody gets hurt, a tire comes off your car when you are traveling fairly rapidly and it is able to roll...
1. The Lab
The ball reaches the end of the table in .178584 s, a distance of 14.016 cm. The table is 86.49 cm tall. What is the ball's velocity and far will it roll?Homework Equations
y=vit+.5(g)(t)2
x=vtThe Attempt at a Solution
I assumed vi was 0 and got that time=4.201, but that didn't seem...
Homework Statement
Chuck gives a horizontal speed v to a ball that then rolls off a lab bench y meters high. How long a time will it take the ball to reach the floor? How far from a point on the floor directlyt below the edge of the bench will the ball land? Calculate how long and how far...
Homework Statement
See the attached picture for the questions and information. This is actually due today and I haven't gotten all the answers - but it would be good to know how to do everything for when final exams come around. I particularly find (c), (d), (f), and (g) the most difficult...
Homework Statement
A hollow sphere of radius 0.45 m, with rotational inertia I = 0.026 kg m2 about a line through its center of mass, rolls without slipping up a surface inclined at 11° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 80 J.
(a) How much...
Homework Statement
An automobile traveling at 30.0 km/h has tires of 85.0 cm diameter.
(b) If the car is brought to a stop uniformly in 15.0 complete turns of the tires (without skidding), what is the magnitude of the angular acceleration of the wheels?
(In part a I found the angular...
Homework Statement
A ball of mass 2.80 kg and radius 0.153 m is released from rest on a plane inclined at an angle θ = 41.0° with respect to the horizontal. How fast is the ball moving (in m/s) after it has rolled a distance d=1.60 m? Assume that the ball rolls without slipping, and that...
I'm a bit confused about the speed of objects rolling down slopes.
In my textbook, it says
"Neither the mass nor the size of the object will affect its speed when rolling downhill." And that solid balls of different masses/sizes will all reach the bottom of the slope together.
And then...
Homework Statement
A ball rolls off a table with a horizontal velocity of 5 m/s. If it takes 0.6 seconds for it to reach the floor what is the vertical component of the ball's velocity just before it hits the floor? (use g= 10 m/s^2)
The second part of the question is what is the...
I'm not using the template because this is a rather abstract question about the way to approach a scientific experiment.
I'm beginning a science project in which I hope to define the speeds at which using an air conditioning unit becomes more efficient than rolling the windows down in a car...
Homework Statement
A hoop of mass m and radius R rolls without slipping down an inclined plane of mass M, which makes an angle \alpha with the horizontal. Find the Lagrange equations and the integrals of the motion if the plane can slide without friction along a horizontal surface.
Homework...
Homework Statement
A ramp is set up so that one end is propped up with a few textbooks and the other end is continuous with the floor. You roll a marble down an incline and onto the floor. Compare the velocity of the marble down the incline with the velocity of the marble as it rolls onto the...
Homework Statement
A bicycle is rolling down a circular hill that has a radius of 9.00m. The angular displacement of the bike is 0.960rad. The radius of each wheel is 0.400m. What is the angle (in radians) through which each tyre rotates ?
Notes on question :
- wheels are in rolling...
Homework Statement
A ball moving with constant speed 1.0 m/s on a horizontal table rolls off the edge of the table. The ball hits the floor 0.50 seconds after leaving the edge. Suppose you roll the same ball on the same table with constant speed 2.0 m/s. After leaving the edge of the table...