Suppose we have an inclined plane and 2 wheels. Both wheels have the same mass M but different radius R.
So the only difference is that one is bigger than another. We put both wheels on the top of the inclined plane. They are in the same position, and then we let them go. I know that the wheel...
Homework Statement
A block is projected up a 30° slope at 4m/s. When it is moving the coefficient of friction is 0.3. When the block is stationary the maximum coefficient of friction is 0.5.
a. Calculate how far up the block will go.
b. Show that the block will not remain there.
c. Calculate...
According to Newton's 3rd law, for every force there's an equal opposing force. Since a block is sitting on an inclined plane, wouldn't that mean the static friction is acting like the opposing force for mgsinθ thus, mgsinθ=static frictional force? Please respond
Homework Statement
A lab I've performed was measured using forces. As the mass increases, the force does as well. The inclined plane is at an angle of 30 degrees. Now, finding the coefficient, should the kinetic and static friction be decreasing on a plane? I've measured the frictions on a flat...
Homework Statement
A block of mass ##M = 1 kg## is placed of a fixed rough incline of inclination
##\theta=sin^{-1} \frac{7}{10}## and coefficient of friction ##\mu=\frac{1}{\sqrt{51}}##. It is connected to a spring of spring constant 100 N/m. Initially the spring is in natural state with...
Homework Statement
A block weighing 9.81N oscillates on a plane inclined of 60 degrees attached to a spring whose constant
point is k=100N/m and the length is to equilibrium l0 = 0.6 m. While the block goes to the
top losing speed , a timer is started ( to t0 = 0) when the block passes through...
Homework Statement
How do you find tension and friction on an inclined plane given acceleration, two masses and an angle? It's a pulley system, I suppose.
Here's a diagram I drew:
http://postimg.org/image/m9v9i2qy5/
Homework Equations
Fg = ma
The Attempt at a Solution
I was thinking that I...
Homework Statement
https://courses.edx.org/asset-v1:MITx+8.MechCx_2+2T2015+type@asset+block/rolling_quiz_3.svg
A block of mass mb and a disk of mass md and radius r are placed on a symmetric triangular slope connected with a massless string over a massless pulley as shown above. The string is...
I know that since gravity is a conservative force, the work done by it to displace an object some distance does not depend on the path taken. This leads to the conclusion that the work done by gravity in sliding an object down an inclined plane of height h would be ##mgh##. However, what is the...
An object starts at a height of 5m. The initial incline is 63.4 deg. After moving 2m in the x direction, the incline decreases to 7.125 deg and the motion continues for an additional 8m in the x direction. What is the total time for the object to complete the path?Homework Equations
The initial...
Homework Statement
I am trying to prove what is asked in the following problem:
A particle of mass m slides down an inclined plane under
the influence of gravity. If the motion is resisted by a
##f=kmv^2##, show that the time required to move a distance
d after starting...
Homework Statement
A car is moving on a horizontal road with speed of 60 km/h. When it starts to move on an inclined plane its velocity decreases by 10 km/h. How much its velocity will increase when the car starts to move down the plane? Assume that the power of the engine remain the same, any...
Homework Statement
A body is moving on an inclined plane which has a slope of 30o. When the body is h=1,5m above the surface it has a velocity of vo=3 m/s. At the bottom of the plane it bounces elastically and starts moving upwards. Find the height it reaches, when the coefficient of frictions...
I've been trying to work out what I'm doing wrong on this question but I just don't get it.
'A cyclist starting from rest freewheels for 120m down a slope of 1 in 30. At the bottom of the slope the road becomes horizontal, and the cyclist stops without using his breaks after going a further...
I am trying to solve a problem using Newtonian Mechanics. I was able to solve it using Lagrangian Mechanics, and got the correct answer from the textbook, but when I use Newtonian I get the wrong answer. I want to be able to do it both ways in order to understand/appreciate the difference...
Homework Statement
What weight WB will cause the system to be in equilibrium? Neglect all friction, and state any other assumptions.
Homework Equations
ΣF=0
The Attempt at a Solution
I can't figure out what I am doing wrong with these pully problems, I tried putting in resultant forces at...
Homework Statement
A block with mass m = 2.66 kg is placed against a spring on a frictionless incline with angle θ = 37.0° (see the figure). (The block is not attached to the spring.) The spring, with spring constant k = 14 N/cm, is compressed 19.1 cm and then released. (a) What is the elastic...
Homework Statement
An ideal cord is connected to a wall on the top of an inclined plane at one end and is wound around a thin homogeneous cylinder of mass M and radius R. The inclination angle is ϑ and the static and dynamic friction coefficients between cylinder and plane are μs, μd , and the...
While deriving formulas/describing motion on an inclined plane, why don't we take into account the shape of the object undergoing motion?
e.g.
1. If I take an inclined plane and place a ball on it, only a small amount of inclination would make the ball move down the plane...
But...
2. If a...
Homework Statement
http://i.imgur.com/Osn6pKO.png
2m long Inclined plane. Height at top of the ramp is 6.1cm
We are given distances of 0.5, 1, 1.5 2.0m and their times (close to 2.5s, 3.5s ,4.25, 5s).
Need to calculate g.
Homework Equations
d=1/2at^2
g=a/(sinθ/(1+I/mr^2)) (where...
Homework Statement
A block with a mass of 100kg is being pulled with a force P in and effort to move it down the ramp. The ramp makes a 20 degree with the horizontal ground. The coefficient of the friction between the ramp and the block is 0.7.
Find the frictional force and the horizontal...
Homework Statement
Given an inclined angle of θ = 30° and 10m long. The coefficient of friction is 0,1 and the mas of the block is 1kg.
a) Find the velocity needed for the block to climb the plane and its velocity be 0 in the top.
b) Find the time it took to reach the top.
c) Find the speed of...
Hi.
As a teacher I know that many of my students find it difficult to understand the inclined plane and the forces involved. So I decided to create a simulation using geogebra. I uploaded a video to Youtube showing how the simulation works:
The simulation is free to download if you want to...
Homework Statement
I have two conceptual questions that I have written in read in my solution. The solution, and all the work, is correct. However there are two things that I am unsure as to why I am doing it. Thanks!
Homework Equations
Included in solution, although none should be needed as...
Hi guys I am trying too find a formula to figure out how I would find the acceleration of a block on an incline plane IF that plane itself were accelerating in the +Y direction.
I am not even sure which frame of reference to use since the acceleration is in 2 dimensions. This hinders me from...
Homework Statement
Find the acceleration of the system if the mass m1 is a disk with radius R rolling down an incline which makes an angle theta with the horizontal, and the disk is connected to a pulley with mass M and radius R, which is connected to a block m2 hanging from that pulley. The...
Homework Statement
A man is standing on a small wedge that is sliding down a frictionless large wedge (base on the ground - horizontal) with angle 60. I don't have a picture so I'll just say that the surface of the smaller wedge is parallel to the ground. It has a weighing machine on it and the...
Homework Statement
Question: A car goes down a ramp, and once it hits the floor it must travel 6 metres and then stop. Create the procedure in order to find the angle that the board must be to make this scenerio possible. You cannot test on both the floor and the board at the same time...
Homework Statement
A block of mass m = 4 kg, is held at rest on a spring (point A), spring constant k =
500 N / m, compressed by a distance AB = .DELTA.L as shown in Figure 3. When the block is freed ,
it reaches the point B ( non-deformed position of the spring ) with a velocity of VB = 5 m /...
Homework Statement
Problem 1:
A block of mass m = 15 kg from rest on an incline of 20 °. It is assumed that
static and dynamic friction coefficients are respectively μs =0.4 and μk = 0.2. a force P
is then applied (P = 30 N) on the block as shown in Figure 1 .
a) Will the block slide? (...
Homework Statement
A 10 kg mass is on a frictionless inclined plane 30 degrees to the horizontal. At the top of the plane is a pulley that has a rope attached to mass with tension T = 75 N. If the mass starts from rest, what is its velocity after 2 seconds?
Homework Equations
F = ma
Vf=Vi +...
Homework Statement
Photogate 1 is at the 25.2 cm mark, and photogate 2 is at the 66.4 cm mark along the track, Assume
* The bottom of the track is at U = 0 J (potential energy is zero).
* The total mass of the cart is 214 g.
* The track is totally frictionless
Suppose the cart is released at...
Homework Statement
Let's suppose we have a [cuboid](http://en.wikipedia.org/wiki/Cuboid) of dimensions ##a \times b \times c##. We put it on an inclined plane of an angle ##\alpha## so that only one edge of length ##c ## touches the plane. In time ##t = 0 ## the cuboid doesn't rotate. Let the...
Homework Statement
A crate of mass 9.2 kg is pulled up a rough incline with an initial speed of 1.52 m/s. The pulling force is 110 N parallel to the incline, which makes an angle of 20.6° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 4.94 m.
(e)...
Hello,
After collecting data for the classic physics experiment - motion down an inclined plane, I assembled my graph, and found something startling; in my graph, acceleration is proportional to mass (use the attached file for reference).
Theoretically, my graph should resemble the inverse...
Homework Statement
A solid uniform hemisphere rests in equilibrium with its curved surface in contact with a rough inclined plane which is elavated by an angle α where sin(α) = 3/16. Find the angle between the symmetry axis of the hemisphere and the vertical.[/B]Homework Equations
Sine rule...
Suppose we have a block on an inclined plane.
If we choose the x-y axis to be parallel and perpendicular to the inclined plane, then we have
Fy = N - mgcos30 = 0
But if we choose our trivial x-y coordinate system, where y is parallel to the force of gravity, then we get:
Fy = Ncos30 - mg =...
Homework Statement
Find the acceleration of both blocks
Homework Equations
Dynamics
The Attempt at a Solution
Everything in black is given in the problem. The red/blue is my work.
First I want to relate the acceleration of block A to block B by finding the constraint equations:
Lrope = 2L1...
Homework Statement
http://www.sumoware.com/images/temp/xzafcttptkeoehmo.png
An inclined plane is put on a smooth floor. The inclined plane is hit (collided) by an elastic ball moving horizontally before the collision. The ball bounce from the inclined plane and land again right at the point...
Homework Statement
A block of mass m1= 3.70 kg on a frictionless plane inclined at angle θ=30.0° is connected by a cord over a massless, frictionless pulley to a second block of mass m2=2.30 kg. What are (a) the magnitude of the acceleration of each block, (b) the direction of the acceleration...
Homework Statement
"You are lowing two boxes, one on top of the other, down a ramp. Both boxes move together at a constant speed. The coefficient of kinetic friction between the ramp and the lower box is 0.430, and the coefficient of static friction between the two boxes is 0.779. The lower box...
Homework Statement
A heavy uniform cylindrical drum is placed, with its axis horizontal, on a slope inclined at an angle α
to the horizontal. It is prevented from sliding or rolling down the slope by a triangular wedge. The weight of the wedge is negligible compared with the weight of the drum...
Homework Statement
A 2 kg object is placed on a plane inclined at an angle of 30 degrees. If the coefficient of static friction is 1, and the coefficient of kinetic friction is 0.1, what is the net force on the block?
Homework Equations
F = ma
The Attempt at a Solution
I made a FBD with a...
< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown >
So the problem that I have been assigned has formulas of rotational energy, momentum, trajectories, inertia, and inclined planes. A solid sphere is rolling down an inclined plane (that is placed...
Homework Statement
A child on his toboggan is pulled by his father with a force F of value F=240N,on a ice track making an angle α=30° With the horizontal.the cord that the father is holding makes an angle β=20° With the track.assuming that the system(child,toboggan) has a mass of M=40Kg and is...
A 1.54 kg green toy car accelerates at 1.70 m/s² down a ramp 3.38 m long. If the force of friction acting on the toy car is 1.31 N, how much work is done on the toy car to get it to the bottom of the ramp?
Formulas:
Ep=mgh
W=fd
F=ma
a=gh/d
Fr=u*Fn
I know the acceleration, mass, and distance...
A body is capable of remaining stationary inside a liquid in a closed box (that means its density is same as that of liquid) . If the whole system is placed on inclined plane and allowed to slide down then:
1. body moves up relative to liquid
2. moves down relative to liquid
3. stationary wrt to...
http://file://localhost/Users/pablotano_94/Downloads/IMG_20141205_183228102.jpg 1. Homework Statement
Assume that the friction coefficient (both static and dynamic) is ¨u¨.
a) What is the maximum slope yo can get in order that the bench does not slide?
b) What is the maximum slope yo can get...
Homework Statement
First of all, here is how it goes: an object with a starting velocity of 3 m/s reaches the height of 0.3m (inclined plane) and then it "stops" and slides down. What will be the velocity when it reaches the bottom of the inclined plane ?
(Sorry if the terms are wrong, English...