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
#24
https://aapt.org/physicsteam/2010/upload/2009_F-maSolutions.pdf
Homework Equations
T = rfsinθ
The Attempt at a Solution
FBD:
Axes: (along the incline is x), perpendicular to that is y:
Down: mgcosθ
Up: N
Right: mgsinθ
Left: Ff (friction)
If the box is...
Homework Statement
a skier starts on a hills inclined 15 degrees and the speed of the skier on the bottom of the hill is 15m/s
what is the length of the hill? and how long did it take to reach the end of the hill
Homework Equations
gsintheta , a^2+b^2 + c^2
sin=o/h
The Attempt...
Homework Statement
Five blocks are connected together, each with mass m. Two of the five blocks are on an incline of angle θ. What is the acceleration of the last block that is not on the incline. See attached diagram for further details.
Homework Equations
F = ma
F(grav) = mg sin(θ)...
Homework Statement
Hi guys can you help me with this problem?
I have to find the power required to lift a boat up an incline (24.25 degrees to the horizontal). The boat lock is attached to a counterweight which is 25T heavier when the boat is ascending the incline.
The mass of a boat...
An object (for example cylinder) is rolling down an incline, with no slip. We know there is some friction and we have to find the velocity of the objects. There are 2 ways of doing so with calculating resultant force and using Newton's laws and the energy method. Why is it that when we are using...
1. A block of mass 4.0 kg is released from rest at the top of a frictionless incline shaped as a quarter-circle of radius r. At the bottom of the incline, the block slides along a rough horizontal surface, experiencing frictional force of 5 N. The block comes to rest after sliding a distance of...
Hello everyone I am a newbie as well as in physics. I am having a problem in a question as in the attachment. I have learned that the equation of the static friction (Fs) of an object is equals to the product of the coefficient to the normal force of the object.
In this question, let mass of...
Homework Statement
See attachment (1)
what's forces act on pulley ?
Find direction and magnitude
Homework Equations
F=ma
The Attempt at a Solution
After we find tension in robe , See attachment (2)
what do we work ?
Must decomposes tension to horizontal and vertical...
Homework Statement
A block with initial velocity of 10 m/s is sent up an incline at 30 degrees from the horizontal. The coefficient of friction is 0.2x where x is the displacement. Find the maximum distance the block moves up the incline.
Homework Equations
F = ma
(1/2)mv^2
mgh
The...
I understand all the concepts, the only thing I don't know is were does Yc=hc/sin 60 comes from.
Im kind of visual, if you could upload how you do it, it would help
1. a block B is placed on an inclined plane T ( a right triangle). the triangle rests on a flat surface. zero friction is assumed. what is the acceleration of T & B?
2. no angle of the triangle is given so i just added in θ on intuition. my best guess is something along the lines of:
3...
Homework Statement
an object is traveling 30 m/s up a 30 degree incline with height of 20, (there is zero friction) how far did it go?
Homework Equations
no idea
The Attempt at a Solution
stuck
Homework Statement
Find all of the forces acting on the sphere. The problem must be solved in variables. A sphere, mass m, is resting on an incline plane at θ relative to the horizontal. The sphere is also resting against a perpendicular wall relative to the horizontal. Gravity = g.Homework...
Homework Statement
A father pushes horizontally on his daughter's sled to move it up a snowy incline, as illustrated in the figure, with h = 4.4 m and θ = 10°. 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...
A 2.0 kg mass starts from rest and slides down an inclined plane 8.0 x 10^-1 m long in 0.50 sec. What net force is acting on the mass along the incline?
Can someone please explain step by step in a descriptive way. I have a quiz tomorrow and I just can't even start this problem
What is the significance of gravity on the torque of balls rolling down an incline?
I know that gravity is able to exert a force, or torque by acting on the center of mass, causing an object to rotate. But what about rolling motion? Where would the axis of rotation be for a ball rolling down...
Homework Statement
Ok, I have attempted this problem, and believe I have the right answer. My work is not matching up though and I think I am missing something.
Question:
A hoop is rolling without slipping along a horizontal surface with a speed of 4.50 m/s when it starts up a ramp that...
The formula is m*g*h which translates to m*g*d*sinθ right? I have it written down as m*g*d*cosθ on my formula chart for some reason which doesn't make sense, and I want to reassure myself.
Homework Statement
A skier skiing downhill reaches the bottom of a hollow with a velocity of 20m/s, and then coasts up a hill with a 10° slope. If the coefficient of kinetic friction is 0.10, how far up the slope will she travel before she stops?
Homework Equations
aΔt=v2-v1
d= 1/2(v1 +...
Spring, Block, KE, PE, Incline Problem: Why is KE=ZERO??
A 250 g block is pressed against a spring of force constant 1500 N/m until the block compresses the spring 8.0 cm. The spring rests at the bottom of a ramp inclined at 60.0 degrees to the horizontal. Using energy considerations, determine...
Homework Statement What is the minimum work needed to push a 950-kg car 810m up along a 9.0 degree incline? (a) Ignore friction. (b) Assume the effective coefficient of friction working against the car is 0.25.
Homework Equations I know that W=F x displacement x cos. In the second part of...
Homework Statement
Block 1 is moving to the right (with velocity v1) when block two is released from rest on
an incline, as shown (from height hi). They meet on the horizontal section of track. After
they collide they move in opposite directions, but with the same speed. Block 2 moves...
I have an incline A that is very steep reaching a vertical height of h and another one B which is less steep with the same vertical height. So using the work energy theorem: in A, KE+work done against friction=mgh so the work done against friction and initial KE is equal to the gain in...
Homework Statement
A mass m = 16.0 kg is pulled along a horizontal floor, with a coefficient of kinetic friction μk = 0.14, for a distance d = 8.3 m. Then the mass is continued to be pulled up a frictionless incline that makes an angle θ = 38.0° with the horizontal. The entire time the...
A 2.00 kg block is held in equilibrium on an incline of angle θ = 55° by a horizontal force, F. If the coefficient of static friction between block and incline is µ s = 0.300, determine
(a) the minimum value of F and
(b) the normal force of the incline on the block.
F = ma
Mu = Ff/Fn...
Homework Statement
A 1,970-kg car is moving down a road with a slope (grade) of 14% while slowing down at a rate of 3 m/s^2. What is the direction and magnitude of the frictional force? (define positive in the forward direction, i.e., down the slope)?Homework Equations
∫=μ*m*g*cosθ
Fn =...
This a question from my 131 "masteringphysics.com" hw.
A cylindrical hoop has radius 10.0 cm and mass 0.550 kg. It rolls from rest a distance of 5.70 m along a board which is tipped up by an angle 18.0 degrees from horizontal. Regard the hoop as being much thinner (in the radial direction)...
Homework Statement
When a car is traveling at 22 m/s on level ground, the stopping distance is found to be 22 m. This distance is measured by pushing hard on the brakes so that the wheels skid on the pavement. The same car is driving at the same speed down an incline that makes an angle of...
A 4 kg bundle starts up a 30° incline with 128 J of kinetic energy. How far will it slide up the plane if the coefficient of friction is 0.30?
So the solution to the problem is 128 = 4(9.8)(x)(sin30) + 0.30 (4)(9.8)(x)(cos30)...x = 4.29m
I don't understand the solution.
so 128 =...
Homework Statement
Two objects are connected by a light string that passes over a friction less pulley as shown in the figure below. Assume the incline is friction less and take m1 = 2.00 kg, m2 = 7.75 kg, and θ = 55.5°.
From this information, I have to determine the acceleration and...
Homework Statement
Find the force necessary to start the crate moving, given that the mass of the crate is 32 and the coefficient of static friction between the crate and the floor is 0.58. The angle is 21 degrees below horizontal.
Homework Equations
The Attempt at a Solution
I don't...
Homework Statement
Find the force and acceleration of the block down the inclined plane
Homework Equations
F = ma
The Attempt at a Solution
We have two unknowns in F = ma
I know there is the gravitational force going straight down, and there is the normal force that is...
Homework Statement
A 3.5 kg block starts at rest and slides a distance d down a frictionless 28.0° incline, where it runs into a spring. The block slides an additional 21.0 cm before it is brought to rest momentarily by compressing the spring, whose spring constant is 435 N/m.
A)What is the...
Homework Statement
To push a 29 kg crate up a frictionless incline, angled at 39° to the horizontal, a worker exerts a force of 321.9 N, parallel to the incline. As the crate slides 1.50 m, how much work is done on the crate by the worker's applied force?
How much work is done on the...
Homework Statement
A right triangular prism ABD with inclination angle 30degrees and mass m can slide without friction along smooth horizontal surface. A uniform solid cylinder of mass m rolls down the inclined surface AB without friction. If both cylinder and prism are at rest...
Homework Statement
Hi guys and gals,
Having an issue with this one and was hoping to get some help. I'm going to write out the equation and include an attachment with my free body diagram.
Q:
How long a force parallel to a 20° hill does it take to push a 100-lb box up the hill at a...
Homework Statement
A block with mass m1 = 9.2 kg is on an incline with an angle θ = 25.0° with respect to the horizontal. For the first question there is no friction between the incline and the block.
The coefficient of static friction was deterimined to be μ = .121
The premise of this...
Homework Statement
A block with mass m1 = 9.4 kg is on an incline with an angle θ = 31.0° with respect to the horizontal.
Now a new block is attached to the first block. The new block is made of a different material and has a coefficient of static friction μ = 0.9. What minimum mass is...
Homework Statement
A block with mass m1 = 9.4 kg is on an incline with an angle θ = 31.0° with respect to the horizontal. There is also a massless rope that pulls horizontally to prevent the block from moving. What is the tension in the rope?
Homework Equations
Fg = m*g
Fg,x = m*g*sin...
Homework Statement
I don't need help with a homework question so much as a clarification of a concept. I realize that in projectile motion on a horizontal plane, horizontal acceleration is 0. But if an object is launched from the top of an incline (shaped like \), there is both an acceleration...
Homework Statement
A dot on the floor with a diameter of 2cm.
A table that is at a distance of 46cm horizontally from the center of said dot.
The table is 90cm tall.
The meat of the problem: A ping pong ball rolls off an incline plane (a wooden board) that is on top of the table. The...
Homework Statement
http://img59.imageshack.us/img59/493/capturemml.png The Attempt at a Solution
Here is my attempt. I assumed that both the man and the box would slide down the incline. (The box is the left diagram and the man is on the right)...
Homework Statement
A block of mass m is moving along a horizontal frictionless surface with a speed of 5.7 m/s. The block encounters a slope which it travels up. If the slope is 11 degrees and the coefficient of kinetic friction between the block and the incline is 0.26, how far does the block...
Question says: A person is pulling on a block of mass m with a force equal to its weight directed 30° above the horizontal plane across a rough surface, generating a friction f on the block. If the person is now pushing downward on the block with the same force 30° above the horizontal plane...
pHomework Statement
A 5.03 box sits at rest at the bottom of a ramp that is 8.76 long and that is inclined at 30.0 above the horizontal. The coefficient of kinetic friction is 0.40, and the coefficient of static friction is 0.50.
What constant force , applied parallel to the surface of the...
μSomeone is pushing a packing case of mass 30 kg up an inclined slope of angle 11.3deg.
as shown in the diagram below. The coefficient of kinetic friction between the case and the slope is µk = 0.100 and the coefficient of static friction is µ = 0.200.
1. The minimum force the person must...
Homework Statement
A 5.00-kg box sits at rest at the bottom of a ramp that is 8.00m long and that is inclined at 30.0° above the horizontal. The coefficient of kinetic friction is μk = 0.40, and the coefficient of static friction is μs = 0.50. What constant force F, applied parallel to the...
Homework Statement
the five objects of various masses, each denoted m, all have the same radius. They are all rolling at the same speed as they approach a curved incline.
Solid sphere - m = 1.0 kg
Hollow Sphere - m = 0.2 kg
Solid Cylinder - m = 0.2 kg
Solid Disk - m = 0.5 kg
Hoop - m = 0.2 kg...
Hi ,
I want to calculate force required to cut a 1200 mm -3.5 mm sheet using incline shear blade.
Anyone know what formula we can use in this case when we are cutting metal on an blade angle of 1°.
Thanks
Please help.
Homework Statement
A 11 kg box slides 4.0 m down the frictionless ramp shown in the figure , then collides with a spring whose spring constant is 190 N/m. The angle of the ramp is 30°. What is the maximum compression of the spring?
Homework Equations
Ei=mgh
Ef=1/2kx^2
The Attempt...