What is Rolling ball: Definition and 64 Discussions
In topology, quantum mechanics and geometrodynamics, rolling-ball arguments are used to describe how the perceived geometry and connectedness of a surface can be scale-dependent.
If a researcher probes the shape of an intricately curved surface by rolling a ball across it, then features that are continually curved but whose curvature radius is smaller than the ball radius may appear in the ball's description of the geometry as abrupt points, barriers and singularities.
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...
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...
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
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...
I was engaging in a thought exercise and got into an argument with a friend the other day.
Suppose you have a sphere on a frictionless plane (or in space or whatever).
If you apply a force directly in normal to the surface, it obviously accelerates at a=F/m. This gives (after some delta t)...
The textbook solution for a pipe rolling down an incline is a = \frac{1}{2} g \sin \theta . Putting in theta = 0 gives a = 0. Does this imply that a ball rolling along a level surface will never stop?
In the figure below, a ball is let go from rest at the point shown on the ramp. The region on the left side of the ramp has friction; on the right side, the friction is negligible.
http://i2.photobucket.com/albums/y7/twiztidmxcn/RollingFig1.gif
Theres the picture. It won't upload because...
Help! Challenging rolling ball problem ahead!
A solid sphere of rotational inertia I=2/5(MR^2) is rollling without slipping on a horizontal rough surface toward a rough inclined plane. The sphere's mass is 2kg and radius is 8 cm. The velocity of the sphere as it aproaches the incline is 10m/s...
Ball mass m and radius r rolls down ramp with coefficient of static friction of mu. If the ball is released from rest what is the maximum angle theta of the ramp that the ball rolls without slipping?
I've got theta max = inverse(tan(mu)) but the answer in the book is
theta =...
In Figure 11-36, a small, solid, uniform ball is to be shot from point P so that it rolls smoothly along a horizontal path, up along a ramp, and onto a plateau. Then it leaves the plateau horizontally to land on a game board, at a horizontal distance d from the right edge of the plateau. The...
Hello!
I have a few homework problems that I'm just not sure what to do with:
1) A soccer ball rolls down a hill, reaching the bottom with a speed of 10.0 m/s. The coefficient of friction between the ball and the grass on the hill is .80. How far does the ball travel on the surface before...
Well I'm back. LOL Yet another question regarding my homework problem.
Here's the problem: A ball of radius 0.370m rolls along a horizontal table top with a constant linear speed of 3.20m/s. The ball rolls off the edge and falls a vertical distance of 2.70m before hitting the floor. What is...
Im creating a little dynamic animation of a ball rolling seen from straight above. I would like the user to input the mass, friction, gravity and initial speed of the rolling ball.
I wonder how i can simulate this pretty accurate to real world.
The ball is rolling on a straight line, the x...
Hi, I am doing some analysis into a ball rolling down a ramp which is raised and lowered to different heights, and the time the ball takes to travel the length of the ramp is recorded. The ramp is 120cm long, and the ball has a mass of 0.02815kg and diameter of 19mm.
I am trying to find some...