What is Inclined: Definition and 1000 Discussions

An inclined plane, also known as a ramp, is a flat supporting surface tilted at an angle, with one end higher than the other, used as an aid for raising or lowering a load. The inclined plane is one of the six classical simple machines defined by Renaissance scientists. Inclined planes are widely used to move heavy loads over vertical obstacles; examples vary from a ramp used to load goods into a truck, to a person walking up a pedestrian ramp, to an automobile or railroad train climbing a grade.Moving an object up an inclined plane requires less force than lifting it straight up, at a cost of an increase in the distance moved. The mechanical advantage of an inclined plane, the factor by which the force is reduced, is equal to the ratio of the length of the sloped surface to the height it spans. Due to conservation of energy, the same amount of mechanical energy (work) is required to lift a given object by a given vertical distance, disregarding losses from friction, but the inclined plane allows the same work to be done with a smaller force exerted over a greater distance.The angle of friction, also sometimes called the angle of repose, is the maximum angle at which a load can rest motionless on an inclined plane due to friction, without sliding down. This angle is equal to the arctangent of the coefficient of static friction μs between the surfaces.Two other simple machines are often considered to be derived from the inclined plane. The wedge can be considered a moving inclined plane or two inclined planes connected at the base. The screw consists of a narrow inclined plane wrapped around a cylinder.The term may also refer to a specific implementation; a straight ramp cut into a steep hillside for transporting goods up and down the hill. It may include cars on rails or pulled up by a cable system; a funicular or cable railway, such as the Johnstown Inclined Plane.

View More On Wikipedia.org
  1. Mr Davis 97

    Work done by gravity on an inclined plane

    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...
  2. D

    Calculating the velocity of an object down a varied slope inclined plane

    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...
  3. ltkach2015

    Projectile Motion on Inclined Surface Question

    Homework Statement Water is sprayed at an angle of 90° from the slope at 20m/s. Determine the range R. PLEASE SEE ATTACHMENTHomework Equations [/B] Kinematic Equations: acceleration: A = 0i +g(-j) + 0k; velocity: dV/dt = A; position: dR/dt = V; Origin set at the point spout...
  4. F

    Motion on an inclined plane against a resisting force

    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...
  5. K

    How Does a Car's Velocity Change When It Moves Down an Inclined Plane?

    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...
  6. K

    Moving body on an inclined plane

    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...
  7. shaunchattey

    Work/Energy equation on inclined plane

    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...
  8. A

    Particle on inclined plane whose steepness is increasing

    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...
  9. J-dizzal

    Static equilibrium; pulley and inclined plane problem.

    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...
  10. J-dizzal

    PE, Work, object on inclined plane resting on a spring.

    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...
  11. J-dizzal

    Newton's 2nd law question -- pushing a block up an inclined ramp....

    If a constant force is applied to an object and the force is pushing the object up a inclined ramp with constant velocity what is the acceleration if mass is unknown? F=ma F=m (1m/s^2) If i apply this equation then acceleration is 1m/s^2. Am i applying this formula correctly? thanks
  12. K

    Inclined disk rotating on the ground

    Homework Statement A disk of radius R and mass m rotates on a floor with coefficient of friction μ and makes a circle of radius r0 at constant speed v0. What is the friction force between the disk and the floor. What's the inclination angle α to the vertical. It's suggested in the question to...
  13. Sarah00

    Finding the Unknown Force on an Inclined Plane

    Homework Statement Homework Equations W = F d The Attempt at a Solution W = F d 30 = F * 2 * cos 0 30 = 2 F F = 15 N [NOT IN CHOICES] !
  14. D

    Inclined plane static friction

    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...
  15. N

    How Does Coil Orientation Affect Mutual Inductance Calculation?

    Homework Statement A rectangular coil is composed of 150 turns of a filamentary conductor. Find the mutual inductance in free space between this coil and an infinite straight filament on the z axis if the four corners of the coil are located at Homework Equations B = (phi-hat) μoI/2πr dS =...
  16. Deepak K Kapur

    Why is the shape of an object not considered in motion on an inclined plane?

    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...
  17. Fat_Squirrel

    Calculating Gravity from Inclined plane

    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...
  18. Z

    Solving Inclined Plane Problems

    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...
  19. R

    Moment of inertia of rod about an axis inclined

    Homework Statement What is the Moment of inertia of rod about an axis inclined? It is given as ## \frac{ML^2sin^2θ}{12} ## but how? Homework Equations I know MOI for axis passing through center along y-axis as ## \frac{ML^2}{12} ## The Attempt at a Solution Shouldn't it be ## \frac{ML^2}{12}...
  20. C

    How Does Friction Affect Motion on an Inclined Plane?

    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...
  21. C

    How can a simulation improve understanding of the inclined plane for students?

    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...
  22. M

    Dynamics: Collision with inclined plane

    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...
  23. K

    Acceleration decrease on inclined air track

    Hello, I have a cart going down an air track with an inclination of 7 ° and for some reason my acceleration is going on a downward trend, my velocity is increasing and naturally so is the time. to find velocity I'm using v = (2x)/t and for acceleration I'm using a = (2x) / (t^2). Can you tell mr...
  24. S

    Glider moving along an inclined track?

    Homework Statement In a classroom demonstration, a glider moves along an inclined track with constant acceleration. It is projected from the low end of the track with an initial velocity. After 8.2 s have elapsed, it is 103.3 cm from the low end and is moving along the track at a velocity of...
  25. Yam

    A wheel rolling on a horizontal flat or inclined surface

    Homework Statement A wheel rolling on a horizontal flat surface at a constant velocity experiences no friction force. Why? A wheel rolling on an inclined surface at a constant velocity experiences friction force. Homework EquationsThe Attempt at a Solution A wheel rolling on a horizontal flat...
  26. K

    Center of mass of an inclined triangle

    Homework Statement Where's the COM Homework Equations The COM of a right triangle is a third of an edge apart of the right angle vertex The Attempt at a Solution Edge AC: ##\frac{50}{\cos 20^0}=53.2## Two thirds of edge AB: ##\frac{53.2\cdot 30^0\cdot 2}{3}=30.7## One third of edge BC...
  27. bongobl

    Acceleration on inclined plane

    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...
  28. JesseJC

    Inclined plane with block and cylinder, pulley with mas

    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...
  29. S

    Two masses on two inclined planes -- What is magnitude of velocity

    Homework Statement Two boxes of equal mass m are connected by a light string over a massless pulley, and rest on surfaces of inclination θ and φ, θ>φ. The boxes are released from rest. The coefficient of kinetic friction between the boxes and the surfaces is μ. Determine the magnitude of the...
  30. C

    Procedure for an Inclined Plane Lab

    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...
  31. M

    Spring on inclined plane with a Block

    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 /...
  32. B

    Finding the coefficient of static friction on an inclined pl

    Homework Statement So, I need to figure out the coefficient of static friction using the equation tanθ = µs ONLY. I have been given the angle 26 degrees, and a mass of 424.32g. Homework Equations tanθ = µs[/B] The Attempt at a Solution I don't know where to start...
  33. M

    Kinetics Problems -- Blocks on inclined plane

    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? (...
  34. B

    Inclined Plane with Pulley: Finding Velocity with Tension and Acceleration

    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 +...
  35. gracy

    Two blocks on inclined surface

    Homework Statement :[/B] block M slides down on frictionless incline .Find the minimum co efficient of friction so that m does not slide with respect to M.Homework Equations :acceleration of the system=total driving force/total mass: [/B] The Attempt at a Solution m does not slide with...
  36. anton717

    Inclined Plane Homework: Calculating Speeds at Photogates 1 and 2

    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...
  37. M

    A cuboid on an inclined plane - based on an Olympiad problem

    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...
  38. B

    Box on Inclined Plane (with Friction)

    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)...
  39. W

    Acceleration down an inclined plane

    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...
  40. J

    Solid hemisphere resting on an inclined plane

    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...
  41. A

    Frames with inclined legs using slope-deflection method

    Homework Statement This is a diagram from "Structural Analysis" by Aslam Kassimalli while solving frames using slope-deflection method. In the figure, the tangent to the deflected shape at C` is parallel to the original member AC implying that the slope at C is zero. However, later they have...
  42. X

    Inclined plane normal force varies by coordinate system?

    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 =...
  43. Feodalherren

    ME Dynamics - Multiple ideal pulleys + an inclined plane

    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...
  44. terryds

    Ball hitting an inclined plane

    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...
  45. Y

    Inclined plane and pulley: how to know the acceleration's direction

    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...
  46. K

    Two stacked blocks sliding down an inclined plane

    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...
  47. B

    Solving the Force on a 2kg Object on an Inclined Plane

    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...
  48. G

    What's the distance a sphere travels from inclined plane?

    < 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...
  49. arthurchen

    Laminar flow exits an inclined tube

    I am working on a problem in which viscous flow comes out from an inclined tube, forming some kind of a fountain. In the tube the fluid is Newtonian and the flow can be treated as Poiseuille flow. I want to study the movement of the fluid after it leaves the tube. Can someone point me about the...
  50. Curious&TheNon

    Finding work from an inclined plane, basic question

    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...
Back
Top