Help me to understand my physics homework
Suppose if a ball is rolling down in an inclined plane, what happens to the normal force acting on it? How to understand the Normal force in this situation
Please explain
Thanks
Rolling sphere, problems with the fundementals.
Homework Statement
A sphere with the mass of 2.5 kg rolls without slipping. The speed of the center of gravity is 10 m/s.
a) Calculate the translational kinetic energy of the sphere
b) Calculate the rotational energy of the sphere
c)...
Hi everyone,
For an experiment I am writing up I have to model the acceleration of a disk rolling down an incline (at an angle of θ to the ground) with various hole sizes in the center.
A am aware that the moment of inertia for this object is given by 1/2m(a^2 + b^2) and that the net...
for second group, why the set of numbers of ( 132, 152, 153, 154, 213, 214 , 215, 216, 231, ...) is not included? since they are all three different numbers. https://www.flickr.com/photos/123101228@N03/14323629833/
Suppose there is a hard wheel rolling on a flat surface with friction, will the wheel keep on rolling with constant velocity or stopped by the friction?
If it keeps on rolling, it seems that there is always a friction action against its rotation direction. But where does the torque come from...
Homework Statement
Which would be faster: A ball rolling down a ramp with no groove, or a ball rolling down a ramp with a groove?
What effect does the radius have, if any? Disregarding resistance and whether or not the ball rolls in a straight line.
Homework Equations
The Attempt at a...
Homework Statement
A uniform right circular cone of height h, half angle α, and density ρ rolls on its side without
slipping on a uniform horizontal plane in such a manner that it returns to its original position in
a time \tau. Find expressions for the kinetic energy and the components of...
The tension in the rope is actually being provided by a solid sphere with radius 23.5 cm that rolls down an incline as shown in the figure. The incline makes an angle of 32° with the vertical. The end of the rope is attached to a yoke that runs through the center of the sphere, parallel to the...
I wanted to just make sure I was doing this right. The problem:
A marble of mass M and radius R rolls without slipping down a track from height h1. The marble then goes up a frictionless track to a height h2. Find h2.
I figure this has to be in terms of other variables, here is my work...
Recently, I have done an experiment of frictional on rolling object.
In the experiment, I have done 7 trials with different axle radii, similar to that of a yoyo on a horizontal table.
the experimental was set as this
As derived by the lab manual i received, frictional force can be...
Homework Statement
A thin-walled pipe with mass M and radius R (moment of inertia MR2) rolls without slipping on a horizontal surface. Inside the pipe, a solid cylinder of mass m and radius r (moment of inertia (1/2)mr2) also rolls without slipping under gravity. ##\alpha## and ##\phi## are...
Homework Statement
"Assume you want the car to accelerate towards the right. When a wheel is spinning, the contact point with the ground is moving towards the left. The direction of the frictional force on the portion of the wheel contacting the ground is opposite to the direction of the...
Homework Statement
(See attachment)
Assume that the surface has friction and a small ring of radius ##r## rolls on the surface without slipping.
Assume conditions have been set up so that (1) point of contact between the ring and the cone moves in a circle at height ##h## above the tip...
1. Homework Statement [/b]
The question is B7 here: http://www-teach.phy.cam.ac.uk/dms/dms_getFile.php?node=7787
I managed to derive the acceleration required in the first part, but the second part is giving me trouble.
Homework EquationsThe Attempt at a Solution
I have calculated the moment...
Hi all, I just have a troublesome time wrapping my head around the concept of moment of inertia of a cylinder inside a cylinder. For example, in the attached figure
The moment of inertia of the cylinder with radius 'r' around the point o, according to my understanding should be
I_o = I_s+...
two cylinder conected, by two roads, rolling down an inclined plane. Find equation of motion and tension of roads.
I know that the lagrangian is:
0.5 m \dot{x}^2+0.5 I_1 \dot{\theta}^2++0.5 I_1 \dot{\theta}^2+mgx\sin \alpha + mg(x+l)\sin \alpha
¿ is good my lagrangian?, ¿how is present...
Homework Statement
In this problem, I'm rolling a ball off a ramp. The ramp is supposed to simulate a roof. The hypotenuse of the ramp is 1.5 meters and the angle is 45 degrees. The distance from the edge of the ramp to the ground is -5.43 meters. That is the information I'm given. From there...
Homework Statement
A uniform, solid cylinder of mass M = 4.22 kg and radius R = 0.36 m with I=1/2(M*R^2) is attached at its axle to a string. The string is wrapped around a small frictionless pulley (I=0) and is attached to a hanging block of mass 1.69 kg. You release the objects from rest...
Before I start the problem, I would like to apologize for not using the formating. I am posting this from my high school's network and they have an absurd filtering algorithm that blocks css and other web scripts so I can't use the normal formatting since I can't remember the format tags for...
So our teacher explained to us that there is an optimal angle at which a bottle can be rolled down an incline to achieve 'maximum' velocity but I'm not sure how to find the equation to work this out mathematically rather than using just trial and error.
I'm pretty sure that it involves...
Homework Statement
Two bicycle tires are set rolling with the same initial speed of 3.60m/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 and goes a distance of 18.0m ; the other is at...
Hi,
Please note: this is not a homework assignment. It is taken from an exam and I'd appreciae some clarifications.
In the setup delineated in the attachment, a small cylinder of mass M and radius R rolls without slipping inside a larger cylinder of radius 10R. It is stated that the larger...
Homework Statement
A 900 kg car is parked on a hill when its brakes fail. It begins to roll down the hill,which is at a 15 degree angle above the horizontal.The coefficient of rolling friction is 0.1. What is the car's speed after it has rolled 20m?
Homework Equations
F=ma
v2=2aΔx...
Homework Statement
A 900 kg car is parked on a hill when its brakes fail. It begins to roll down the hill, which is at a 15 degree angle above the horizontal. What is the car's speed after it has rolled 20m? Assum no friction.
Homework Equations
F=ma
v2=2aΔx
The Attempt at a Solution...
Homework Statement
I'm looking for a formula that relates the distance traveled by a 'rolling' rectangle compared to a given amount of degrees it has turned.
And while I have you, another problem I have with the rolling rectangle is that its center point would move up and then down with...
When rolling on a flat floor when the velocity at the circumference equals the velocity at the centre of mass the friction stops acting right? SO why does't that happen when it is rolling down an inclined plane? If it is rolling shouldn't the point in contact with the inclined plane be...
I understand that the torque caused by the friction must cause an angular acceleration, and it makes sense that the angular velocity increases from the bottom to the top so if there was a particle on the rim, as it went upwards it's speed would increase but what happens when it comes down again...
Homework Statement
Suppose a wheel with radius R is resting on a non-inclined surface. A torque \tau is applied to the wheel center. In an attempt to prevent wheel from spinning, the ground applies a static friction force to the wheel at the contact point (parallel to the surface), then the...
I am looking for the opinion of an expert in economics on the Rolling Jubilee project. If you do not have any formal education in economics, I would kindly request you to please make clear that your opinion is layman speculation.
Website: http://rollingjubilee.org/
Warning: layman...
Is rolling friction considered static friction?
After all, the two surfaces are not moving at the point of contact.
My textbook separates static and kinetic friction.
Homework Statement
A uniform solid sphere rolls down an incline without slipping. If the
linear acceleration of the centre of mass of the sphere is 0.2g, then what
is the angle the incline makes with the horizontal? Repeat for a thin
spherical shell.
Homework Equations
\sum \tau = I \alpha...
Hello PF!
Homework Statement
A string is wrapped around the small cylinder as shown. You pull with a force F (and the cylinder does not slide). Calculate the acceleration of the cylinder CM (including direction). Here r = 3 cm,
R = 5 cm, F = 0.1 N, and m = 1kg. [Make sure to define one...
1. Homework Statement
I have a hemispherical bowl in which I roll a small particle around the edge, starting from the top at point A with a velocity vo. It travels halfway around the sphere and reaches point B, which is a vertical distance h below A, with a velocity vf. Point A is a radial...
Homework Statement
A forward force on the axle accelerates a rolling wheel on a horizontal surface. If the wheel
does not slide the frictional force of the surface on the wheel is:
A. zero
B. in the forward direction
C. in the backward direction
D. in the upward direction
E. in the downward...
Homework Statement
A cylinder with moment of inertia I, mass M, and radius r is being pulled by a string with a tension T.
What is the acceleration of the cylinder? What is the force of friction?
Homework Equations
Fnet = M*a = T - f
Torque = I*(a/r) = f*r
The Attempt at a...
Homework Statement
This is not a homework problem. Okay, it is -- but I have solved it correctly already, so the question is not there. I'm just not sure about a detail in one of many solutions.
We have a hollow cylinder with a uniform mass distribution rolling down an incline with some...
Homework Statement
Homework Equations
The Attempt at a Solution
I have some difficulty understanding the problem statement. The problem says the paper moves horizontally but then in the very next line, it states the velocity is perpendicular to the initial velocity of sphere...
Homework Statement
The height of the slope shown in the figure is 30 cm, and its base is 40 cm. A solid cylinder of uniform density, which has the same mass as the slope, rolls down along the slope without slipping. What is the least value of the coefficient of friction between the inclined...
Homework Statement
Homework Equations
F = I\vec{l} \times \vec{B}
\varepsilon = BLv
The Attempt at a Solution
Every direction i go seems real wrong
F = I\vec{l} \times \vec{B}
F = \frac{\varepsilon \vec{l} \times \vec{B}}{R}
F = \frac{\varepsilon LB}{R}
ma =...
Hi guy's, I've got an interesting problem in my coursework, I have to say I am stumped, so here it is.
A hollow sphere of mass 56 grams, starts at rest and is allowed to roll without slipping 2 metres down a slope at an angle of 25 degrees. Gravity is assumed as 10 ms^2. clculate the velocity...
This is the second part of a 2 part problem. The first part is:
A solid disc is rolling down a 30 degree incline from rest.
a. draw the force diagram for the disk.
b. write the equations for both translation and rotational motion
c. Find the linear acceleration of the center of mass.
d...
You have a cylinder rolling down a ramp, without slipping. There is a rope wrapped around it (pulling up) with tension T.
The direction of friction is always up the ramp. How do I picture this? From the math, I know that it must be true. But I cannot really imagine it.
For ex, say you were rolling a ball down a steep ramp (about 85-90 degrees to horizontal, so almost straight). The ramp is say at least 100m long so there's enough time for the ball to build up velocity, etc.
Is it possible for any circumstances to happen where the ball would temporarily...
1. Homework Statement :
Cylinder of mass m, radius r is rolling without slipping with angular velocity ω and Vcm is ωr.
Cylinder comes across a step of height R /4. The angular velocity just after the collision is...
Assuming cylinder remains in contact and no slipping occurs on the edge of the...
Greetings,
I have taken a probability course a year ago; however my mind is a bit rusty and I cannot recall the concepts. I want to be able to calculate the probability distribution function for the following question:
Suppose you have a tedrahedron with number 1,2,3,4 on respective faces...
Homework Statement
A bowling ball is thrown down the alley with speed ##v_0##. Initially it slides without rolling, but due to friction it begins to roll. Show that its speed when it rolls without sliding is ##\frac{5}{7} v_0##.
Homework Equations
##K= \frac{1}{2}mv^2 + \frac{1}{2} I...
Homework Statement
A solid sphere of mass M and radius 1m rests on a smooth horizontal surface. A force F acts on sphere as shown in figure. If it rolls without slipping, find the value of H.Homework Equations
The Attempt at a Solution
This problem was presented by the teacher today.
My...
Consider a ball of radius r and total mass m, with a nonuniform but radially symmetric mass distribution inside it, so that it can have an almost arbitrary moment of inertia I. (a) If this ball is projected across a floor with an initial velocity v, and is at first purely sliding across the...