The Duquesne Incline () is a funicular located near Pittsburgh's South Side neighborhood and scaling Mt. Washington in Pennsylvania, United States. Designed by Samuel Diescher, the incline was completed in 1877 and is 800 feet (244 m) long, 400 feet (122 m) in height, and is inclined at a 30-degree angle. It has an unusual for United States (but standard for Finland, Mongolia and the former-USSR) track gauge of 5 ft (1,524 mm).
Homework Statement
A 20 kg wagon is released from rest from the top of a 15 m long plane, which is angled at 30° with the horizontal. Assuming there is friction between the ramp and the wagon, how is this frictional force affected if the angle of the incline is increased?
Homework Equations...
Homework Statement
A 1 kg ball with a radius of 20 cm rolls down a 5 m high inclined plane. Its speed at the bottom is 8 m/s. How many revolutions per second is the ball making when at the bottom of the plane?
Homework Equations
circumference = 2πr
velocity = distance / time = circumference /...
Homework Statement
A 75KG object, goes down a slide that is 10m tall. What is the speed of the object at the halfway mark and the speed at the bottom of the slide. The object starts at rest and there is no friction.
Homework Equations
v2f - v2i = 2as3. The Attempt at a Solution [/B]
attached...
Homework Statement
An inclined plane is used to raise a 100 kg box to a height of 5 m. How long must the inclined plane be if a force of 250 N is used to push the box up the inclined plane?
Homework Equations
i have search and searched all over google to try to figure this out.. I am not...
Homework Statement
Block B rests on Block A. Block B is restrained with a string, while Block A slides down the incline. During the time Block A is between Block B and the inclined plane, Block A slides with constant velocity. If the weight of Blocks A and B are both w, and the coefficient of...
Blocks 1 and 2 of masses ml and m2, respectively, are connected by a light string, as shown above. These blocks are further connected to a block of mass M by another light string that passes over a pulley of negligible mass and friction. Blocks l and 2 move with a constant velocity v down the...
Homework Statement
[/B]
A uniform solid ball of mass m rolls without slipping down a right angled wedge of mass M and angle θ from the horizontal, which itself can slide without friction on a horizontal floor. Find the acceleration of the ball relative to the wedge.
2. The attempt at a...
I am having trouble on one of my homework problems. The problem is
What is the acceleration of the system if M1 is 5 kg and M2 is 4kg and the coefficient of friction between M1 and the table is 0.20? There is an image along with the problem. Basically it is just like a standard inclined plane...
Homework Statement
Given: The friction between the block with mass 6 kg and the wedge with mass 18 kg is 0.27 . The surface between the wedge with mass 18 kg and the horizontal plane is smooth (without friction). The acceleration of gravity is 9.8 m/s^ 2. A block is released on the inclined...
Homework Statement
For the maximum angle for which you have data draw a free body diagram and explain how the forces add to give the resultant (net) force and show the calculations required to determine the acceleration.
The lab was about using Galileo's inclined plane to measure acceleration...
How come when I do a conservation of energy up an incline the displacement is the distance up the incline, but when I do a conservation of energy from a projectile the displacement is not the resultant of the x and y displacements (instead, it's only the displacement in the y-direction)?
Thank-you
I know there are many factors that go into this. But in general how would one go about calculating the angular velocity for a car going up an incline. What I want to know in particular is if a car say is driving at a consistent speed of 60mph on an even plane and then hits an incline up wards at...
Homework Statement
A uniform solid sphere, of radius 0.20 m, rolls without slipping 6.0 m down a ramp that is inclined at 28° with the horizontal. What is the angular speed of the sphere at the bottom of the slope if it starts from rest?
Homework Equations
KE=1/2Iw^2
PE=mgh
I don't know what...
Homework Statement
Practice problem for midterm.
Homework Equations
[/B]
T_1+U_1=T_2+U_2
U_spring=1/2kx^2The Attempt at a Solution
[/B]
Set X-axis along the 30 degree line and the Y-axis perpendicular.
I'm not sure how to consider the friction constant into the formula.
Any help is very...
Homework Statement
A block of base ##10cm \times 10cm## and height ##15cm## is kept on an incline plane. The coefficient of friction between them is ##\sqrt { 3 } ##. The inclination of the incline plain is ##\theta##. Find the value of theta for which the block begins to topple.
Homework...
Hi guys, I'm new to this site so forgive me if I'm unfamiliar with any etiquette unique to here. We did a practical exercise the other day in class in which we accelerated a bogey to a certain RPM and then released it to accelerate up a ramp. We were then given a sheet of the measurements I have...
Homework Statement A car weighing 1940lb has lost its brakes and is unable to come to a stop. A police cruiser of 3900lb gets ahead of it so that the two cars are now bumper to bumper. The combined cars are now traveling at 60mph down a 15 degree grade slope. If the police cruiser can normally...
Homework Statement
a 1500 kg car is moving up a 25 degree incline at a constant speed of 30 mph. the tires and road have an effective friction coefficient of u = 0.25 . determine the power output the engine must provide to keep the car moving at this speed. express your final answer in units...
Hello
I been having a "debate" about the load on an engine when going max speed on a lake vs a lesser speed but on an incline..
Here is the basic jist of the discussion...
We are talking about a 150HP snowmobile using a CVT at sea level with low snow conditions that is traveling across the...
This is a problem from my physics homework. I copied the diagram below as best I could from the text. It's not the best rendering but you'll get the idea.
1. Homework Statement
Two blocks are at rest on a frictionless incline, as shown in the figure.
Part A. What is the tension in the string...
Homework Statement
The problem statement is in the attachments.Homework Equations
F=maThe Attempt at a Solution
I uploaded the solution to the problem. I have had no trouble deriving the first two equations for the summation of forces in the x, n and t directions, however I am having trouble...
The Question: An ice block of mass M=80.0 kg is held stationary on a frictionless ramp. The ramp is at an angle of 36.9 degrees above the horizontal. If the block is held in place by a horizontal force directed horizontally toward the center of the block, find the magnitude of this force...
Homework Statement
In the diagram mA is equal to 3.00 kg and mB is equal to 1.07 kg. The angle of the inclined plane is 38.0°
(a) Find Acceleration: 6.03 m/s^2 (got this part)
(b) Find the tension Tb in the connecting string: Not sure
Homework Equations
(a) a = (F/mA + mB)
(b) t =...
Just need someone to check if this is right.
This question=frictionless, freefall, etc.
We have an incline plane. Determine the amount of acceleration due to gravity both parallel and perpendicular to the incline.
Would the answer be: parallel=9.8sinθ and perpendicular=9.8cosθ
Okay...
I have added a picture of the problem with an attempt for a solution. Please let me know if its right or wrong, and what I have done wrong if its wrong..
Homework Statement
The problem is described and drawn here:
https://drive.google.com/file/d/0B-HFS9bOMNAcMjNacXlha0Z6cVk/edit?usp=sharing
Edit: The picture seems not to be showing up, so the address is: https://drive.google.com/file/d/0B-HFS9bOMNAcMjNacXlha0Z6cVk/edit?usp=sharing...
A hollow sphere with mass $$M$$ , radius $$R$$ , and moment of inertia $$I=2/3MR^2$$ about its center rolls without slipping with a initial center of mass speed $$v$$ towards a fixed ramp. It then rolls without slipping up the ramp. The ramp forms an angle $$\theta$$ with the horizontal...
Homework Statement
"A solid sphere rolls down an incline plane without slipping. If the center of mass of the sphere has a linear acceleration of 1.21 m/s2, what is the angle of the incline to the horizontal?"
Homework Equations
a = g * sin(θ)
The Attempt at a Solution
I got home...
Homework Statement
A wedge of mass m and angle θ is placed on a smooth ground. As shown in the diagram A is a point on ground. A particle also having mass m is dropped from a height h at a horizontal distance x from A . It finally touches the ground at point B . Find √3AB in metres.
Details...
Homework Statement
Ok this question came up on a car forum and i tried to answer it, but I think my answer is way to simple and I solved the problem incorrectly
1. A 2072lb Opel GT goes up 20 degree incline how much horsepower will the car need to get up the hill at the same speed as the same...
Hi guys,
I have come across a problem that I thought I was doing correctly but it seems I am not as my answer seems way too easy and is not the right one either. I don’t need the question worked out for me. I just need someone to give me a nudge in the right direction.Homework Statement
“You...
Homework Statement
A solid cylinder of radius R is spun and then placed on an incline having coefficient of friction μ=tanθ
(θ is the angle of the incline). The solid cylinder continues to spin without falling for time:
(A)Rωo/3gsinθ
(B)Rωo/2gsinθ
(C)Rωo/gsinθ
(D)2Rωo/gsinθ
The Attempt at a...
Dear Helpers,
I'm sitting since ours in front of a task and trying to solve it.
Attached you find a picture to the problem.
Given:
θ=28°
μs=0.4
μk=0.3
k=30N/m
m1=1kg
m2=2kg
x0=0
x1=1m --> Spring is stretched
The question is:
Does m2 move up or downwards?
First thing I tried...
This seems to be a slight variation of a pretty standard problem, however I didn't have any luck finding any seemingly helpful information. I am mainly wondering if I am not getting the FBDs correct?
Homework Statement
A block of mass m is sitting on a movable ramp of mass M with an incline...
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...
Homework Statement
Block 1 and Block 2 have the same mass 'm', and are released from the top of two inclined planes of the same height making 30 degree and 60 degree angles with the horizontal direction, respectively. If the coefficient of friction is the same in both cases, which of the...
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...
For a mass on an incline plane, is the downward force mg cos Θ or -mg cos Θ?
I'm inclined to state there should be a negative but from my lectures, the negative does not appear to be stipulated. I was wondering if it's was a mistake by the lecturer.
mg cos Θ + FN = 0
mg cos Θ = -FN
the...
Hi all,
The problem is shown below - but no answer was given to this, and the teacher did not plan on taking it up, since it was optional extra practice.
My attempt at a solution: http://imgur.com/DmrgMMO, my final answer was 2.76 kg.
I was wondering if this was right or wrong, and if...
Homework Statement
To illustrate there is an incline plane (Mass=M) on a frictionless horizontal plane. It is being pushed by an F force on its non incline side. There is also an m mass on the incline. Mass m does not slide over M. Angle of the incline is Beta. sin B= 0.6, cos B= 0.8, M= 3...
Homework Statement
A car (m = 1680 kg) is parked on a road that rises 17° above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires?
Homework Equations
FsMAX = Mu*FN or in this case: FsMAX =...
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...
A test rocket is launched, starting on the ground, from rest, by
accelerating it along an incline with constant acceleration a. The incline has length
L, and it rises at θ degrees above the horizontal. At the instant the rocket leaves the
incline, its engines turn off and it is subject only...
this question has 4 parts, I am having trouble on the last part but i will post all parts to give context.
Part A
How much work is done by the horizontal force FP = 150 N on the 18-kg block of the figure(Figure 1) when the force pushes the block 5.5m up along the 32∘ incline? Assuming a...
Homework Statement
Block A weighs 60N and rests on top of block B which weighs 80N and rests on an incline plane with angle of elevation 30 degrees. Block A is restrained by a mass-less rope as shown. What force F will cause block B to start moving down the plane? Assume all surfaces have a...
Homework Statement
Draw a free body diagram of the incline. Build the free body diagram of the man. Which is the force which makes the man to go up the incline?
http://imagizer.imageshack.us/v2/800x600q90/46/t92m.png
Homework Equations
Newton's 2º Law
The Attempt at a Solution...
Homework Statement
(c) This coin is placed flat on the same ramp (incline of 50.0o to the horizontal) and released from rest. How fast is the coin moving after the same distance down the ramp (30.0 cm) if the coefficient of kinetic friction is 0.75?
Homework Equations
The Attempt at...
Hello, I have a problem that I have not been able to solve
Homework Statement
Here is the problem question:
A bowling ball rolling at 8 m/s begins to move up an inclined plane. What height does it reach?
Homework Equations
The equation that I used was the formula relating...