What is Inclined plane: Definition and 820 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.

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  1. D

    Is mgsinθ=static frictional force on an inclined plane?

    According to Newton's 3rd law, for every force there's an equal opposing force. Since a block is sitting on an inclined plane, wouldn't that mean the static friction is acting like the opposing force for mgsinθ thus, mgsinθ=static frictional force? Please respond
  2. S

    Coefficient of friction on an inclined plane?

    Homework Statement A lab I've performed was measured using forces. As the mass increases, the force does as well. The inclined plane is at an angle of 30 degrees. Now, finding the coefficient, should the kinetic and static friction be decreasing on a plane? I've measured the frictions on a flat...
  3. B

    Maximum extension of a spring on an inclined plane

    Homework Statement A block of mass ##M = 1 kg## is placed of a fixed rough incline of inclination ##\theta=sin^{-1} \frac{7}{10}## and coefficient of friction ##\mu=\frac{1}{\sqrt{51}}##. It is connected to a spring of spring constant 100 N/m. Initially the spring is in natural state with...
  4. M

    [Physics waves] Spring and Block on inclined plane

    Homework Statement A block weighing 9.81N oscillates on a plane inclined of 60 degrees attached to a spring whose constant point is k=100N/m and the length is to equilibrium l0 = 0.6 m. While the block goes to the top losing speed , a timer is started ( to t0 = 0) when the block passes through...
  5. L

    How do you find tension and friction on an inclined plane

    Homework Statement How do you find tension and friction on an inclined plane given acceleration, two masses and an angle? It's a pulley system, I suppose. Here's a diagram I drew: http://postimg.org/image/m9v9i2qy5/ Homework Equations Fg = ma The Attempt at a Solution I was thinking that I...
  6. N

    Block and disk on double inclined plane

    Homework Statement https://courses.edx.org/asset-v1:MITx+8.MechCx_2+2T2015+type@asset+block/rolling_quiz_3.svg A block of mass mb and a disk of mass md and radius r are placed on a symmetric triangular slope connected with a massless string over a massless pulley as shown above. The string is...
  7. 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...
  8. 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...
  9. 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...
  10. K

    Motion on 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...
  11. 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...
  12. 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...
  13. 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...
  14. 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...
  15. 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...
  16. 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] !
  17. 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...
  18. 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...
  19. 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...
  20. 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...
  21. C

    Friction 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...
  22. 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...
  23. 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...
  24. 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...
  25. 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...
  26. V

    Weight of man on small wedge sliding on larger wedge

    Homework Statement A man is standing on a small wedge that is sliding down a frictionless large wedge (base on the ground - horizontal) with angle 60. I don't have a picture so I'll just say that the surface of the smaller wedge is parallel to the ground. It has a weighing machine on it and the...
  27. 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...
  28. 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 /...
  29. 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? (...
  30. 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 +...
  31. 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...
  32. 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...
  33. 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)...
  34. 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...
  35. 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...
  36. 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 =...
  37. 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...
  38. 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...
  39. 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...
  40. 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...
  41. T

    Finding angle required for equilibrium on a slope

    Homework Statement A heavy uniform cylindrical drum is placed, with its axis horizontal, on a slope inclined at an angle α to the horizontal. It is prevented from sliding or rolling down the slope by a triangular wedge. The weight of the wedge is negligible compared with the weight of the drum...
  42. 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...
  43. 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...
  44. J

    Finding speed -- A child on his toboggan

    Homework Statement A child on his toboggan is pulled by his father with a force F of value F=240N,on a ice track making an angle α=30° With the horizontal.the cord that the father is holding makes an angle β=20° With the track.assuming that the system(child,toboggan) has a mass of M=40Kg and is...
  45. 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...
  46. jonny23

    Fluids acceleration on inclined plane

    A body is capable of remaining stationary inside a liquid in a closed box (that means its density is same as that of liquid) . If the whole system is placed on inclined plane and allowed to slide down then: 1. body moves up relative to liquid 2. moves down relative to liquid 3. stationary wrt to...
  47. P

    What are the conditions for a bench on an inclined plane to slide or tip?

    http://file://localhost/Users/pablotano_94/Downloads/IMG_20141205_183228102.jpg 1. Homework Statement Assume that the friction coefficient (both static and dynamic) is ¨u¨. a) What is the maximum slope yo can get in order that the bench does not slide? b) What is the maximum slope yo can get...
  48. A

    Object sliding down an inclined plane

    Homework Statement First of all, here is how it goes: an object with a starting velocity of 3 m/s reaches the height of 0.3m (inclined plane) and then it "stops" and slides down. What will be the velocity when it reaches the bottom of the inclined plane ? (Sorry if the terms are wrong, English...
  49. H

    An inclined plane, fixed to the inside of an elevator, makes a 32 degrees angle

    Homework Statement An inclined plane, fixed to the inside of an elevator, makes a 32 degrees angle with the floor. A mass m slides on the plane without friction. What is its acceleration relative to the plane if the elevator accelerates upward at 0.50g? Homework Equations F = ma The Attempt...
  50. N

    Calculating the velocity decrease going up an incline

    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...
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