Incline Definition and 991 Threads

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).

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  1. Lone Wolf

    Conservation of energy for a block on an incline plane

    Let v be the speed of the block and x elongation of the spring beyond the equilibrium point. Initially, v = 0 and x = 0. At the maximum elongation, the block also has v = 0, it has moved a distance equal to x (parallel to the plane) and the variation of height is equal to -x⋅sin(53°). W(FNC) =...
  2. R

    Pulley on Incline: Finding Forces & Tension

    a) I figured this part out. Because A is at rest that means the acceleration is 0 b&c) I am completely lost how to go about this. I drew a free body diagram for A and I was able to determine 4 forces acting on it. 1: The Gravitational force on A (GA). Using the angle (θ), and the incline as my...
  3. R

    How can I find the initial velocity of a projectile on an incline?

    I have tried for a couple hours now and I just cannot seem to figure out what to do. I am able to to find the the x and y components for acceleration (Xa = 0, Ya = -9.8) and distance (Δx = 54.32, Δy = 8.60) but without any of the other components I am having trouble finding Vo. Any help with...
  4. megaly

    Slope Problem: Need Help with a Difficult Equation?

    Im really stuck with this problem ! any help would be much appreciated
  5. M

    How far does the block slide? (work, spring, incline)

    Homework Statement The system is released from rest with no slack in the cable and with the spring stretched 225 mm. Determine the distance s traveled by the 3.2-kg cart before it comes to rest (a) if m approaches zero and (b) if m = 2.5 kg. Assume no mechanical interference and no friction...
  6. WMDhamnekar

    MHB Force normal and force along the incline

    A 10 kg block sits on a board inclined to an angle of $30^\circ$ with the horizontal. What are $F_{inc}$ (force along the incline) and the $F_n$ (force normal)?How to compute this?
  7. NotSoRobot

    Newton's Laws Homework question: Double incline mass problem

    Homework Statement I have a double incline mass problem where Φ=43° and θ=20°, mass_A=1.00kg and they are connected by a massless string where the net force of each block is equal to 0. Homework Equations I believe I am to use Newton's 2nd law to find the force of the tension which I have next...
  8. T

    A ball (sphere) rotating along a moving incline

    Homework Statement We have a ball of mass ##m##and radius ##r##. it is placed on an incline (We don't know the angle of the incline, nor we do whether the angle is constant along the incline - maybe it is a curved incline) and then released. The COM of ball is ##h## meters above the incline at...
  9. M

    IB Physics Mechanics help? : Bus on an incline

    Homework Statement A bus is traveling at a constant speed of 6.2ms-1 along a section of road that is inclined at an angle of 6.0degrees to the horizontal. a) the total output power of the engine of the bus is 70kW and the efficiency of the engine is 35%. calculate the power to the engine b)...
  10. M

    Direction of acceleration of an incline

    Object with mass ##m## is sliding down a sloped (incline = ##\alpha##) object of mass ##M##. The coefficient of kinetic friction acting between ##m## and ##M## is ##\mu##. There is no friction between object ##M## and the ground. In the drawing above, the red vectors above are the forces acting...
  11. Krushnaraj Pandya

    Ring and solid sphere rolling down an incline - rotation problem

    Homework Statement A solid sphere, hollow sphere, disk and ring are released simultaneously from top of a incline. Friction is sufficient to prevent slipping of hollow sphere- what will reach the bottom first? Homework Equations a in pure rolling down an incline=gsinθ/(1 + I/mR^2) The Attempt...
  12. YMMMA

    Potential energy of a block moving up and down an incline.

    Homework Statement Which graphy represents the potential energy of the block as a function of time? Homework Equations PE=mgh The Attempt at a Solution First, the potential energy is zero until it reache the top of the incline where the potential energy is maximum. Moving down, the potential...
  13. S

    Incline with friction and two blocks

    Homework Statement The coefficient of kinetic friction between the block of mass m1 = 2.5 kg and the plane in Fig. 6 below is 1/6. Find (a) the acceleration of the block and (b) the tension in the string. Take g = 10 m/s2. Homework Equations Fnet=ma The Attempt at a Solution please i don't...
  14. C

    How Far Will a Block Travel Up a 32-Degree Ramp with Initial Speed of 3.7 m/s?

    Homework Statement A block is given an initial speed of 3.7 m/s up a frictionless plane angled at 32 degrees. How far up the ramp will the block travel Homework Equations v^2 = v null^2 +2a delta xThe Attempt at a Solution 3.7^2 -0^2/(2*9.8) =x my biggest issue is that i wasn't given a mass...
  15. G

    Cylinder with Displaced Center of Mass Rolling Down Incline

    Homework Statement A rigid cylinder of radius ##R## and mass ##\mu## has a moment of inertia ##I## around an axis going through the center of mass and parallel to the central axis of the cylinder. The cylinder is homogeneous along its central axis, but not in the radial and angular directions...
  16. DracoMalfoy

    Applying Newtons Laws: Incline, static friction, kid on sled

    Homework Statement [/B] A child sits on a sled (50kg) on a snowy hill with an incline of 5 degrees. The coefficient of static friction is 0.05. What downward force must a parent apply parallel to the normal force, to prevent the child from sliding down the hill? (Answer: 366N)Homework Equations...
  17. PhysicsIsKillingMe

    Friction force on an inclined plane

    Homework Statement A speed of a body of mass 8 kg is 6 m/s in position A. By the time it gets to B, the speed is measured to be 12 m/s. What is the frictional force opposing the motion? The incline is 30 degrees, the height of the ramp is 12 meters. Position A is at the top of the ramp...
  18. B

    Velocity of a hollow cylinder at the bottom of an incline

    Homework Statement I was looking at the idea that a hollow cylinder will have less velocity than a solid cylinder at the bottom of an incline. I can find the velocity of the hollow and solid cylinder from the following: PE = Translational KE + Rotational KE From that equation I find v and I...
  19. C

    Velocity after Free Fall and after Motion down an Incline

    I was doing some conceptual problems quickly before moving on to the numerical stuff when I glanced at this answer given in the solutions manual, and it surprised me: Which object has greater speed at the bottom of its fall, object A of mass m dropped freely from height h or object B of mass m...
  20. V

    Distance the hoop travels up the incline

    Homework Statement A ring (hollow cylinder) of mass 2.61kg, inner radius 6.35cm, and outer radius 7.35cm rolls (without slipping) up an inclined plane that makes an angle of θ=36.0°, as shown in the figure below. At the moment the ring is at position x = 2.19m up the plane, its speed is...
  21. B

    How does the incline of the rod depend on mass and force F?

    Homework Statement We have a rod with length L and with the left end the rod is fixed to the ceiling in such a way it can swivel. As we can see from the picture (attached file) on right end two forces are acting on the rod: F and mg. The question is: How does the incline of the rod depend on...
  22. H

    Complicated pulley system on an incline?

    Homework Statement Under the action of force P the constant acceleration of B is 6 m/s^2 up the incline as in figure. For the instant when B's velocity is 3 m/s up incline, what is the velocity of point C? How do I solve this using constraints? [/B] Homework Equations For a pulley system ΣT.v...
  23. V

    Acceleration of a uniform solid sphere rolling down incline

    Homework Statement Find the acceleration of a uniform solid sphere (of mass ##m## and radius ##R##) rolling without slipping down an incline at angle ##\alpha## using the Lagrangian method. Homework Equations Euler-Lagrange equation which says, $$\frac{\partial\mathcal{L}}{\partial...
  24. harambe

    How Does Friction Affect Acceleration on an Incline?

    Homework Statement Figure shows two blocks in contact sliding down an inclined surface of inclination 30.The friction coeffecient between the block of mass 2kg and the incline is μ=0.20 and that between block of mass 4kg and the incline is μ=0.30.Find the acceleration of 4 kg block (g=10m/s2)...
  25. jybe

    Block moves down incline, hits spring, find spring constant

    Homework Statement [/B] The block, initially at rest, slides down the ramp and compresses the spring 0.03 m. Theta = 30 degrees L = 1.25 m M of block = 2 kg Δx = 0.03 m 1) Write the expression for the initial and final energy states 2) Find the spring constant K Homework Equations mgh...
  26. E

    Static Pulley Problem on an Incline

    The problem is: Two blocks of mass m and M are connected via pulley with a configuration as shown. The coefficient of static friction is 0.64, between blocks and surface. If the inclined angle is 23deg and M = 3.1kg, what is the maximum mass m so that no sliding occurs? The question is: I...
  27. K

    Given a uniform chain on an incline, find the work done by friction

    Homework Statement A uniform chain of mass 'm' and length 'l' rests on a rough incline (inclination is angle 'Q') with its part hanging vertically. The chain (inclined) starts moving up the incline (and the vertical part moving down) provided the hanging (vertical) part equals to 'n' times...
  28. Tirijazzmanray

    Statics problem -- Stability analysis of a slab resting on an incline

    Dear colleagues: My name is Ignacio Pérez, a mining engineering student from Spain. I am trying to analyze the stability of a slab with rounded edges against a toppling failure. The slab can be considered rectangular-prism shaped (I provide a rectangular section in the enclosed picture) but the...
  29. S

    Disk connected to another object through a pulley on an incline

    Homework Statement A disk of radius r and mass m is placed on an incline which makes an angle of 30 degree. The disk is suspended by a string attached to its center and a mass 3m is hung at the other end. The surface of incline is rough with the coefficient of static and kinetic friction...
  30. Eyris

    Kinematics on a frictionless incline plane

    The situation: The mass is pushed up an incline with an angle of 1 degree with an initial velocity of 1 m/s, and it comes back down to its original position. The questions to answer: What is the total distance the object travels on the frictionless inclined plane? How long will the object...
  31. E

    A frictionless incline with a block sliding down it....

    A frictionless incline (the triangle below) is bolted to the floor so that it can not move. A block of mass m slides down the slope, which makes an angle with the horizontal.a)Draw a free-body diagram for the block, labeling all forces uniquely. b)Describe all the forces listed above in the...
  32. V

    Minimum friction to roll an imperfect sphere on an incline

    Homework Statement I have a sphere, it's imperfectly spherical, I put it on an incline and apparently it needs a minimum friction to start rolling or moving. Homework Equations I = 2/5 MR^2 torque = I*alpha = R x F The Attempt at a Solution [/B] before anything, I don't get why there's a...
  33. L

    Is a treadmill incline just a marketing gimmick?

    Makers of fitness treadmills usually include an adjustment for the treadmill surface incline. This allows the running surface to be tilted upward by a maximum of 10-15 degrees and it is supposed to simulate a more strenuous run up a hill. But how can this be more strenuous? The runner is...
  34. B

    Finding the coefficient of kinetic friction on an incline

    << Mentor Note -- Two threads on the same subject have been merged >> I am a junior enrolled in IB Physics at the standard level at my high school. As a part of the curriculum we must perform an Internal Assessment (IA) which involves performing an experiment and performing calculations and it...
  35. F

    Newton's Law: block and incline

    Homework Statement Homework Equations Fs= μs*N ΣF=ma The Attempt at a Solution [/B]
  36. F

    Ball rolling down an incline angular and linear acceleration

    Homework Statement A ball with moment of intertia bmr^2 rolls without slipping down a plane inclined at angle O. What is it’s linear acceleration? Homework Equations Fnet= ma T = F x r T = IO’’ a = rO’’ The Attempt at a Solution Fnet = mgcos(O) - FfT = FfrT = IO’’ Ffr = bmr^2O’’ Ff =...
  37. C

    Conservation of Energy: Spring pushing a block up an incline

    Homework Statement "Consider a 250 gram block on a 10 degree frictionless incline and in contact with a spring of constant 1.2 N/cm. If the block is launched from rest by the spring with an initial compression of 6cm, how fast is the block moving at the point of release from the spring? How...
  38. K

    Lagrangian of a sphere rolling down a moving incline

    Homework Statement A sphere of mass m2 and radius R rolls down a perfectly rough wedge of mass m1. The wedge sits on a frictionless surface so as the sphere rolls down, the wedge moves in opposite direction. Obtain the Lagrangian. Homework EquationsThe Attempt at a Solution Here's my diagram...
  39. A

    Distance of box pushed up incline by spring

    Homework Statement A block of mass m=1.5kg is attached to a spring of constant k=590N/m. It is initially at rest on inclined plane of 21 degrees, and coefficient of kinetic friction between block and plane is MUk=.19. In initial position, where spring is compressed by d=.18m, mass is at lowest...
  40. A

    Friction Force with Incline and Pulley

    Homework Statement There is a mass m1 on an incline (angle α), connected to a pulley with a string, and on the other side of the pulley, after another string, there is a mass m2. See picture if it's unclear, I'm not sure how to express the problem. Anyway the plane has a friction coefficient...
  41. K

    Block sliding up an inclined plane

    1. The problem statement, all variables, and given/known data A block with an initial speed of 20.0m/s slides up a ramp with an incline angle of 30º. (a) (2 points) Write the position as a function of time for motion up the surface of the ramp. (b) (2 points) Write the velocity as a function...
  42. G

    A train sits on top of a 1% grade incline

    Homework Statement A train sits on top of a 1% grade. It accelerates uniformly until it reaches level track. What is the velocity the the train reaches on the incline, and how far does it travel before it comes to a stop? There is a 50 N braking force applied. Homework EquationsThe Attempt at...
  43. S

    Work Problem - Distance of particle moving up an incline

    Homework Statement Hi! I'm having issues with this practice problem. Any advice on what I'm doing wrong would help! A 2.5 kg particle is projected with an initial speed of 3.3m/s along a surface for which the coefficient of friction is 0.7. Find the distance it travels given that the particle...
  44. S

    Solid sphere rolling down a house roof.... angular speed

    Homework Statement A solid sphere of radius 16cm and mass 10kg starts from rest and rolls without slipping a distance of 9m down a house roof that is inclined at 43 degrees. What is the angular speed about its center as it leaves the house roof? The height of the outside wall of the house is...
  45. A

    How Do You Determine the Direction of Friction on an Inclined Plane?

    Homework Statement It's Problem 3 of this page: http://www.problemsphysics.com/forces/inclined_planes_problems.html "A box of mass M = 10 Kg rests on a 35° inclined plane with the horizontal. A string is used to keep the box in equilibrium. The string makes an angle of 25 ° with the inclined...
  46. T

    Net Force acting on block on incline

    Homework Statement A 6.50 kg block is placed on an inclined surface. The coefficients of static and kinetic friction between the block and the surface are 0.685 and 0.485, respectively. The incline makes an angle of 18.8° relative to horizontal. The block is at rest and remains at rest. What is...
  47. D

    Calculate angular velocity of a ball rolling down incline?

    Homework Statement An 7.80-cm-diameter, 400 g solid sphere is released from rest at the top of a 1.70-m-long, 20.0 degree incline. It rolls, without slipping, to the bottom Homework Equations I=2/5 Mr^2 K = 1/2 m*v^2 Kroll = 1/2 Iw2 mgh=K+Kroll The Attempt at a Solution Using the above energy...
  48. T

    Force of a block on an incline above a horizontal

    Homework Statement The block shown in figure #1 above has a mass of 4.30 kg. The applied force F has a magnitude of 31.2 N and is directed at 38.0˚ above the horizontal frictionless surface the block in on. What is the magnitude of the normal force that acts on the block? Homework Equations...
  49. floraha

    Rotational motion down an incline (ring/hoop)

    Homework Statement A 24kg metal ring with 24cm diameter rolls without slipping down a 30 degree incline from a height of 3.4 m. 1) According to the law of conservation of energy what should be the linear speed of the ring at the bottom of the ramp 2) if the ring has a moment of inertia of...
  50. RavenBlackwolf

    Conservation of Energy, Down an Incline with a Spring

    Homework Statement A 4.0 kg block starts at rest and slides a distance d down a frictionless 35.0 incline, where it runs into a spring. The block slides an additional 16.0 cm before it is brought to rest momentarily by compressing the spring, whose spring constant is 429...
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