Homework Statement
A solid sphere is rolling without slipping on rough ground with an angular velocity w and linear velocity v. It collides elastically with an another identical sphere at rest. Radius of each sphere is R and mass m. What is the linear velocity of the first sphere after it...
Homework Statement
This is just a general case I'm having trouble trying to imagine:
https://lh3.googleusercontent.com/-mTyOwzfLy0E/VluaNlxEddI/AAAAAAAAAEk/2Creguw3xzY/w530-h174-p-rw/Screenshot%2Bfrom%2B2015-11-29%2B21%253A34%253A50.png
Suppose there is a cylinder, kind of like a yo-yo, that...
I have spent quite some time trying to get this, can someone please help me understand this?
A plank is being pulled by a constant force F, it rests on top of two identitcal sylinders - there is rolling without slipping. What I don't understand is, why does F(p) - red arrow force, affect the...
I'm a games programmer working on a (simple, so far) physics engine for a driving game. Right now I'm interested in acceleration, and in particular trying to estimate the forces that go into it. I've got basic data for a bunch of cars (0-60 time, 0-100 time, top speed, mass) and a brute-force...
Let's ignore gravity in this problem for simplicity. For a wheel rolling without slipping on some surface, the rest point is the point at a given instant of time that is in contact with the surface (the rest point has zero instantaneous velocity). If the wheel is rolling at constant velocity...
A clown balances a small, spherical grape at the top of his bald head, which also has the shape of a sphere. After drawing sufficient applause, the grape starts from rest and rolls down without slipping. It will leave contact with the clown's head when the radial line joining it to the curvature...
Homework Statement
So I attached the page from the lab with the directions for the derivation. It may be easier to view that document. The lab was set up was taking two objects and rolling them down an incline. The time was measured using photo gates. Basically, I need to use conservation of...
For conditions where an object is rolling without slipping on a rough, flat surface, the object posses a net torque about the center of mass provided by friction at the contact point. Hence, why doesn't the object accelerate radially indefinitely?
For ex, if we had a slippery bowling ball...
I was going through this example from by book, where a cylinder of radius 'r' is rolling inside of another cylinder of radius 'R' without slipping.It says the constraint equation should be
rθ = (R-r)φ
where θ = angle of rotation of cylinder of radius 'r'
φ = angle subtended at the...
Consider a object of 5 kilos which is fixed with 4 rolling tyres (like in a trolly) which is in a slanting position of 30 degree angle.
My question:How to find the force required to move the object upwards the slope along with rolling resistance considered?
I tried the force using the F push...
Homework Statement
A ball is placed at the top of an 8.5 meter slope, which is at an angle of 2.2 degrees. What is the ball's acceleration?
θ of ramp=2.2
length of ramp=8.5
initial velocity (x and y)=0Homework Equations
a = (v - v0)/t
The Attempt at a Solution
I tried for 45 minutes to solve...
Homework Statement
A uniform solid sphere of radius R rolls without slipping at velocity V on a level surface. It collides with a step of height h. Assume that after the collision, the sphere maintains contact with the step at point A with no slipping.
Find the minimum value of V for the...
can kinetic friction cause a torque? (can it result in rotation)
Or is it that only static friction can cause a torque?
Can static friction do work on a rolling object?
I think it can? because the rotational kinetic energy is increasing? is this right?
HELP!
Homework Statement
source:http://www.wired.com/2014/07/a-rolling-object-accelerating-down-an-incline/
For a ball rolling on an incline, I know how to calculate the acceleration. However, I am quite confused about a situation. What if static friction acting on the ball is equal to the...
Homework Statement
The disk in Figure 3.30 of radius R rolls without slipping with constant angular velocity Ω. Carved inside the disk is a slot and a mass moves inside the slot. Denoting the position of the mass inside the slot by s, calculate the velocity and acceleration of the mass as a...
Homework Statement
A solid sphere of radius R is set into motion on a rough horizontal surface with a linear speed v0 in forward direction and angular speed ω0##=\frac{v_0}{2R}## in counter clockwise direction. Find time after which pure rolling starts.
Homework Equations
For pure rolling...
Homework Statement
Hi, I know the acceleration of steel ball rolling down the inclined track is 5/7 * gsin(theta). But is it possible to find the acceleration of ball rolling on the inclined track just by using the distance traveled on the horizontal plane(attached to the Inclined track) and...
Homework Statement
Today I was sitting in a chair (with wheels on bottom) and decided to apply a force to a large desk. While I applied this force with my hand, my seat and I rolled backwards. My question is why is this so? I was thinking that if my hand is object "a" then it exerts a force on...
Homework Statement
Today I was sitting in a chair (with wheels on bottom) and decided to apply a force to a large desk. While I applied this force with my hand, the chair and I rolled backwards. My question is why is this so? I was thinking that if my hand is object "a" then it exerts a force...
Homework Statement
Situation: There is a big ball that never moves, and a small ball on it.
If we let the small ball roll down from the big ball, what is the angle that between the top of the big ball and the place that the small ball leaves the surface of the big ball?
Or do we need more...
Homework Statement
A large boulder rests on a cliff 400 m above a small village in such a position that if it should roll off, it would leave with a speed of 50 m/s at an angle of 30 degrees below the horizontal. There is a pond with a diameter of 200 m, with its edge 100 m from the base of the...
" At every instant ,there is just one point of contact between the body and the plane and this point has no relative motion, hence ideally the friction should be zero" --from my textbook
Firstly, I don't understand the "relative motion" part. Can someone please explain.
And we do know in fact...
Dear Physics lover friends,
I am in the middle of something and I would like to ask a question on how to solve this branch wheeled problem.
The yellow lines are the branches, they have one wheels on them and the wheels are on a circular path.
I would like to know how much the normal force A...
Hi everyone,
For an experiment I wanted to investigate the forces acting on a ball when rolling down an incline. Basically I have a wooden incline with a photogate at the bottom to measure the velocity of the ball at the bottom of the ramp.
At the top of ramp the sphere has potential energy...
Homework Statement
A ball of mass m rotates without sliding at velocity v1 and hits a wall. it rotates backwards at velocity v2. what is the energy loss.
Homework Equations
Kinetic energy of a rigid body: ##E=\frac{1}{2}I\omega^2##
Moment of inertia of a ball round it's center...
I read this problem in a "book" in my dreams :sleep:so I want to make sure the problem and my solution are not flawed.
(I modified it a bit when I woke up; you know how dreams can be o0))
Homework Statement
A cylinder of radius R has a section of angle Φ cut out as shown. After cutting this...
An open elevator is moving with an upward velocity of
0.52ms-1 with an upward acceleration of 2.4ms-2. A ball bearing then rolls off the floor with zero horizontal speed. Determine the speeds of ball bearing and elevator 2s after the ball rolls off the floor.
Using v=u+at, speed of ball bearing...
Homework Statement
A small puck of mass m is carefully placed onto the inner surface of the thin hollow thin cylinder of mass M and of radius R.
Initially, the cylinder rests on the horizontal plane and the puck is located at the height R above the plane as shown in the figure.
Find the...
If I make a force on a wheel on its center of mass,the wheel will do a combination of translation and rotation and that what is called "Rolling".
which one of the two statements below is correct?
⇒The wheel rotates because making a force on the center of mass of the wheel is like making a...
There is a nice problem in Taylor: Classical Mechanics of a puck sliding without friction down a sphere in a uniform gravitational field (problem 4.8).
The question there was at which height the puck takes off from the sphere, which is not hard to solve using conservation of energy.
This...
Hello,
1. Homework Statement
A spherical continuous ball is sliding with a constant velocity v along a frictionless lane. Thereafter it enters an inclined surface (the angle between the surface and the horizontal plane is α) with the coefficient of friction µ between the ball and the surface...
If there is a uniform ball rolling without slipping on an inclined plane, does gravity provide a torque, translational force, or both? I'm just really confused about forces vs. torques i guess?
Homework Statement
My teacher said that static friction can't slow down a sphere, when I during his office hours, and he gave he said that they don't do work on a rolling sphere... instead rolling friction is what slows down a sphere. Can someone explain to me how rolling friction works and...
Homework Statement
A marble that is rolling without slipping approaches a hill at 8.5 m/s. How high vertically will the marble go under these circumstances:
If the hill is rough enough to prevent any slipping?
If the hill is perfectly smooth?
Why does the marble rise to different heights when...
Homework Statement
A solid sphere of mass M and radius a is released at vertical height y=R and rolls down a circular bowl without slipping, find an expression for the velocity of the sphere's center of mass at the bottom of the bowl.
2. Homework Equations
##I=I_c+Md^2##
I=\frac {2} {5}...
My question is the following. A ball is initially skidding and eventually starts rolling on a flat plane with friction, and later comes to a halt. Which direction does friction act? (see diagram)
If friction acts to the right, then the translational speed will go up, and that's not right...
Homework Statement
The question says:
A uniform solid cylinder rolling with angular velocity ##\omega## along a plane surface strikes a vertical rigid wall. With what angular velocity the cylinder begins to roll up the wall because of impulsive blow? It is observed it rolls without sliding...
A question in regards to rolling resistance. Am I wrong in thinking that not everything you hit on the road with your tire effects your gas mileage? Don't tires have a tolerance in terms of how much energy they can absorb before it effects your traction, therefore effecting your gas mileage...
If smooth rolling motion does not necessitate static friction, which I have been led to believe by a certain @haruspex , then what other forces or principles could prevent a smoothly rolling body from slipping?
Homework Statement
A wheel rolling on a horizontal flat surface at a constant velocity experiences no friction force. Why?
A wheel rolling on an inclined surface at a constant velocity experiences friction force.
Homework EquationsThe Attempt at a Solution
A wheel rolling on a horizontal flat...
If a ball rolls down a U-shaped ramp from a height h, why does it not reach a height h on the other side? (Frictionless ramp)
It will reach a height of (5/7)*h, but I'm not sure why. Some of the potential energy is converted to rotational and some is translational kinetic, but why do they not...
Hi!
My question considers no specific problem, but rather different concepts I have trouble getting my head around. So I would be really happy if you could help me understand different kinds of friction, and maybe above all their direction, acting on a rolling object. :)
Fist we have kinetic...
I've just been wondering about this kind of problem. Let m be the mass of the smaller ball, and M be the mass of the larger ball. Assuming the ball does not slip and that the surfaces are frictionless, what is the time that it takes for the smaller ball to reach the bottom/floor if the the radii...
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...
Hello, members
Why rolling friction is extremely small than sliding friction?
Could somebody explain this to me by an example?
Your help would be appreciated.
Thanks a lot.
I have a small problem with this question. In this problem, the cone exerts a normal force. This force, should be perpendicular to the inside surface of the cone. In equating the vertical forces, I need the vertical component of this normal force. I would draw this force perpendicular to the...
Homework Statement
A hollow, spherical shell with mass 1.85kg rolls without slipping down a slope angled at 32.0∘. Find the acceleration, friction force, and coefficient of friction.
Homework Equations
atan= rα
τ=rFsinΘ
I=matan
The Attempt at a Solution
I'm not quite sure where to begin. I...
Homework Statement
A hollow sphere of mass M and radius R (I = 2MR2 /3) is released from rest at height h and rolls down a curved surface without slipping until it reaches the lowest point, O..
The curve to the right of O is frictionless. If the sphere continues past point O, what vertical...
Homework Statement
A solid cylinder of radius R is rolling without slipping on a rough horizontal surface. It collides with another identical cylinder which is initially at rest on the surface. The coefficient of restitution for the collision is 1.The coefficient of friction between the...
Homework Statement
A hollow spherical shell with mass 2.50kg rolls without slipping down a slope that makes an angle of 33.0 with the horizontal.
Find the minimum coefficient of friction μ needed to prevent the spherical shell from slipping as it rolls down the slope.
Homework EquationsThe...