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
My problem looks like this:
http://i.imgur.com/3M9wE43.png
I need to find the point of impact and the time the body traveled.
Homework Equations
The Attempt at a Solution
I tried to find the time for 25 meters and with that the vertical velocity and height.
Ended up...
Homework Statement
A dog pulls the rope of a 50 kg sled up a hill with an incline of 20° above the horizontal. The rope is directed 30° from the slope and the dog exerts a force of 200N on the rope. The force of friction is 50 N. What is the sled's acceleration?
2.The attempt at a...
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...
A force is applied to a box that is initially at rest on an inclined surface. The incline is at an angle θ=20.0° above horizontal. The mass is m=36kg and the vertical force is Fapp= 48N. Between the box and the inclined surface the coefficient of static friction, μs=.240 and a coefficient of...
Hello.
I am not skilled in math or physics. I'm interested in building an inclined manometer accurate only enough to measure water column (w.c.) inches scaled to .5 w.c to about 10 percent accuracy.
A very basic manometer can be built to measure inches of water with a utube of small...
Homework Statement
A spherical object with a moment of inertia of 0.584mr2 starts from rest rolling down a 2.25-m high incline. If the sphere is rolling without slipping
Homework Equations
I the best equation to use for this problem is k(initial)+u(initial)=k(final)+u(final)
The...
Homework Statement
A wooden block is on an incline with θ = 18.5 degrees. The angle was determined to be big enough that the wooden block would experience kinetic friction ( slides down the ramp). A photo-gate was used to measure the time it took for the block to move a certain distance. Five...
Homework Statement
Ok so the actual spring is attached to the 30 kg mass and is unstretched at this height off the ground. So if I were to pull the 25 kg mass down the plane 20 cm(assuming no friction on plane), and then let go, what would the velocity of the two masses be when the spring is...
Homework Statement
Consider the following two scenarios with the same box sliding up two differently inclined ramps. The coefficient of static friction is 0.7, the coefficient of kinetic friction 0.5. Eventually, the box will stop. Up to what maximum angle of the incline (in degrees) would...
I'm wondering if anyone can help me with a problem that I came up with while trying to design an alarm-hourglass for myself..
I have math experience up to differential equations, but no real contact with physics, so I'm asking here.
Given the situation in the picture: a mass suspended from a...
Homework Statement
The hanging mass in the system is pulled down until the friction force is maximized between the other mass and the incline. Find the initial acceleration of the mass on the incline if the string is then cut. Let the average coefficient of kinetic friction be 80% the...
Homework Statement
The figure shows two packages that start sliding down a 20 degree ramp from a rest a distance d=6.6m along the ramp from the bottom. Package A has a mass of 5.0kg and a coefficient of friction 0.20. Package B has a mass of 10kg and a coefficient of friction of 0.15. How...
Homework Statement
A trunk of mass m = 1.300 kg is pushed a distance d = 124 cm up an incline with an angle of inclination theta = 28.0 ° by a constant horizontal force P = 425 N (see figure).
The coefficient of kinetic friction between the trunk and the incline is 0.130.
a) Calculate the...
Problem:
A father pushes horizontally on his daughter's sled to move it up a snowy incline, as illustrated in the figure, with h = 3.6m and θ = 15°. The total mass of the sled and the girl is 35 kg and the coefficient of kinetic friction between the sled runners and the snow is 0.20. If the...
Homework Statement
A block of mass m starts from rest at a height h and slides down a frictionless plane inclined at angle θ with the horizontal, as shown below. The block strikes a spring of force constant k.
Find the distance the spring is compressed when the block momentarily stops...
Homework Statement
http://imgur.com/xIckJqW
A block of mass m rests on a plane inclined at an angle θ with the horizontal. A spring with force constant k is attached to the block. The coefficient of static friction between the block and plane is μs. The spring is pulled upward along the...
Homework Statement
The coefficient of kinetic friction between the inclined face of a wedge of mass M and a block of mass m sitting on its inclined face is μk (see figure below). The vertical face of the wedge is pushed with a horizontal force such that m slides up the inclined surface with an...
Homework Statement
Hi everyone, I hope you're enjoying your weekends!
I've been trying this question for a while not having any luck, I'm hoping someone can tell me where I'm going wrong
The question is:
Two boxes are connected by a rope that passes through a pulley on the corner of a...
Homework Statement
M1 and M2 are two masses connected as shown. The pulley and the incline are frictionless. Find the mass M1, given that M2 (4.00 kg) accelerates downwards at 3.53 m/s2, and that θ = 32.0°.
Homework Equations
F = m*a
Fk = u*N
The Attempt at a Solution...
Homework Statement
A box is sliding down an incline tilted at a 11.1° angle above the horizontal. The box is initially sliding down the incline at a speed of 1.70 m/s. The coefficient of kinetic friction between the box and the incline is 0.390. How far does the box slide down the incline...
Homework Statement
At the bottom of a hill, a box has a speed of 15 m/s. The hill forms an angle of 30 degrees with the horizontal. How far up the incline of the hill does the box slide?Homework Equations
My answer:
d = (vf2 + vi2) / 2a
The Attempt at a Solution
vi = 15 m/s
vf = 0 m/s
a =...
As given by the attached question, we are given:
The force on the pulley, 51N
The angle of the pulley, 31 degrees
The mass of the box, 15 kg
The angle of the incline, 31 degrees
The kinetic friction coefficient, 0.5
I think the relevant equations are:
ƩFy = 0;
ƩFx = ma...
Homework Statement
A textbook of mass m = 1.24 kg starts at rest on a
frictionless inclined plane (angle = 30◦). Although there is
no friction, suppose there is a drag force (due to air resistance)
acting on the book which is proportional to the speed squared
and is described by the...
Homework Statement
Three blocks are on an incline of Theta(a), block 1 has mass of m1, block 2 has mass of m2, and block 3 has mass of m3. Block 2 is being held(theoretically) above the ground by friction between block 1 and block 3. What is the minimum magnitude of force positioned directly...
two blocks of unequal mass are connected by a string over a smooth pulley. one mass of mass 2m rests on the incline while the second mass of mass m is hung over a pulley over the incline if the coefficient of friction is μk, what angle of the incline allows the masses to move at a constant...
Homework Statement
a block of mass m = 1.62kg slides down a frictionless incline.the block is raised a height h = 3.91m above the bottom of theloop.
(a) what is the force of the inclined track on the block atthe bottom (point A)?
(b) what is the force of the track on the block at pointB...
Hi, I'm trying to find out what effect an increase in moment of inertia of a cylinder would have on slipping when the cylinder rolls down an incline.
Starting with: ma=mgsin(theta)-f, where f is the friction force, which is less than or equal to µmgcos(theta), normal force times µ.
We already...
Homework Statement
A 15 kg block slides along a horizontal frictionless surface 3.0 m above the ground at a constant speed of 2.0 m/s. The block then slides down an incline that makes an angle of 35° with the horizontal and has a coefficient of kinetic friction equal to 0.30. After reaching...
Homework Statement
A small block of mass 0.8 kg is launched by a compressed spring with force constant k=400 N/m. The initial compression of the spring is 0.12 m. The block slides along a horizontal frictionless surface and then up an inclined plane that makes an angle θ=30° with the...
Homework Statement
I am conducting an experiment to determine the coefficient of static and kinetic friction between 2 objects I've arbitrarily chosen. I have a block and a plank of wood. I have been raising the plank to an incline to determine at what angle the block will begin sliding.
I...
If I had to push a box with a certain weight 'm' up an incline, would I just need a force 'slightly greater' than 'mg'? (Assuming I applied the force parallel and up the incline)
Homework Statement
Homework Equations
The Attempt at a Solution
The force on the loop due to magnetic field in the direction normal to the incline is ##qvB##.
Balancing forces in the direction normal to the incline,
mg\cos\alpha=qvB+N
where ##N## is the normal reaction due to incline and v is...
Homework Statement
Mildred pulls a sled loaded with beer along a horizontal surface at constant velocity, as Bubba told her he needed it for he and his buddies to watch the football game. If the sled and beer in it has mass = 75 kg, the coefficient of kinetic friction μk between the runners...
Hey,
I need to calculate the angle of an incline,
But they only give me the ratio of 1:25,
The only thing i can think of what to do is,
1 / 25 = 0.04
then 100% x 0.04 = 4 degrees,
Im i right in asuming this?
Homework Statement
A 20.0 kg block rests on a frictionless inclined plane of slope angle 30.0 degrees. A light cord attached to the block passes over a frictionlesss pulley at the top of the plane and is attached to a second block. What must be mass of the second block if the system is to be...
Homework Statement
Homework Equations
Forces and/or energy
The Attempt at a Solution
I honestly don't know where to start. First I tried kx = mgsin(tan-1 (3/4))) and got the answer E, which is wrong. Then I tried using energy, mgh = 1/2kx^2 which resulted in an answer that wasn't on the...
Hi all,
I have a question about how to analyze the problem of a ball rolling down an incline plane. Assuming there is friction, at each instant the ball swivels about a pivot point on the incline that is stationary due to static friction. We then would analyze the torques about this point...
I'm trying to wrap my head around how a rolling and slipping sphere would be behave on an incline (with an angle of θ) that is too steep for pure rolling. I believe I understand the behaviour up to that point but once we reach the position where the amount of friction required to maintain...
A puck, weighing 75KG(yes, 75kg) is launched from 0-20m/s in 4.4s. Determine the unbalanced force and acceleration.
Fnet=ma A=v/t
This PART was easy, A=20/4.4, A=4.55m/s^2. Fnet=75(4.55) Fnet=341.25N
Its the next part that gets tricky...
The puck, traveling at a constant...
Homework Statement
An object of mass 50kg rests on a rough plane incline at an angle alpha to the horizontal. It is supported in this position by a light string parallel to the plane. The string has a breaking strain of 200N and the coefficient of friction between the object and the plane is...
Homework Statement
A student kicks a frictionless puck with initial speed ## v_0 ## so that it slides straight up a plane that is inclined at an angle ## \theta ## above the horizontal.
Write down Newton's second law for the puck and solve it to give it's position as a function of time
How...
Does the distance traveled by an object sliding down an incline plane pertain to the base or the hypotenuse of the triangle? My guess is the hypotenuse, but I want to make sure in order to settle this matter once and for all.
Homework Statement
Find the velocity with which a symmetric body of radius "R" starts to roll up an inclined plane if it was rolling without slipping on a horizontal plane with velocity "v1" and reached the incline.
Angle of inclination of plane with horizontal=θ
Radius of gyration of the...
Homework Statement
This thing was a part of an entire question . I solved the other parts but I don't know why I am messing up here .
Force required to keep a wooden block from sliding on a rough incline with coefficient of friction μ
Homework Equations
Force on a block on an...
Homework Statement
There is a frictionless incline with a "block" mass on it. The incline and the mass are able to move. The mass of the block is m and the mass of the incline is M.
I am supposed to find a suitable set of generalized coordinates and write the Lagrangian of the system, then...
Homework Statement
http://postimage.org/image/gprwhko37/
Could someone check my work to make sure I'm doing this problem correctly?
Where:
s : hypotenuse or distance
h : height
uk : coef friction
Homework Equations
W = F*D
Force Normal = mgcosθ
Wfriction = (uk * N) *...
This is my first time posting. I see there is a protocol for making proper posts, so I am sorry if I make any errors.
Homework Statement
I have a problem involving a system with an incline and three masses. A picture of the system is in the attachment labeled 15.1. I am to calculate the...
You slide a box of books at constant speed up a 30^\circ ramp, applying a force of 210N directed up the slope. The coefficient of sliding friction is 0.18.
1. How much work have you done when the box has risen 2m vertically?
2.What is the mass of the box?
I think I could solve...
Homework Statement
M1=5.0kg
μs1=0.30
M2=?
μs2=0.20
What does M2 need to be in order to move?
The interesting thing with this question is if it does move, will it move up or down?
Homework Equations
Fun=ma
Ffs=μsFn
The Attempt at a Solution
I thought about this and if it's...
Homework Statement
Two objects are connected by a light string that passes over a frictionless pulley as shown in the figure below. m1 = 8.32 kg, m2 = 6.40 kg, and = 56°. When released from rest, m1 accelerates downward at 2.210 m/s2. For this to happen, the coefficient of kinetic friction...