What is Inclined plane: Definition and 821 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. L

    Inclined Plane and soccer ball

    i think this is an easy question but i forgot how and the book doesn't want to tell me. can anyone tell me how to figure this out? thanks. A soccer ball is released from the top of a smooth incline. After 4.58 s the ball travels 10.8 m. One second later it has reached the bottom of the...
  2. K

    Block on Inclined Plane: The Effects of a Fixed vs. Unfixed Surface

    Hi, I recently did a problem in which a block of definite mass was placed on the top of a inclined plane which was inclined at some angle with the horizontal. The block starts to slide down. What would happen if the inclined plane was not fixed?
  3. siddharth

    Flow of a Newtonian fluid down an inclined plane.

    I'm basically reading on how the velocity profile is found for a laminar flow of a Newtonian fluid down an inclined plane surface. (x is along the incline, y is perpendicular to the incline) The assumptions being made are - The fluid is Newtonian - It's laminar - It's fully developed - It's...
  4. A

    Do Inclined Plane Calculations Use Degrees or Radians?

    The formula for calculating the force required to move an object (ignoring friction, etc.) up an inclined plane is: F = Mgsinθ Where: F = force (N) Mg = gravity (9.81m/s²) θ = angle of inclination (degrees out of 360, or radians?) The question I have is: what is used to...
  5. D

    Solving Inclined Plane Motion: A Physics Problem

    Hey. In physics, we are studying motion, and the three laws of motion. At the moment I am having trouble with inclined planes. Take the following example for instance: "A frictionless plane is inclined at 50 degrees to the horizontal. A mass of 65kg is released on the slope. What is its...
  6. W

    Solving the Problem of a Block Sliding Up an Inclined Plane

    I have a question about this problem: "A block is given an initial velocity of 5.00 m/s up a frictionless 20.0(degrees) incline. How far up the incline does the block slide before coming to a rest?" The book gives a clue stating that mgx = -mgsin20.0 and mgy=-mgcos20. My question is...
  7. J

    Friction problem on inclined plane

    Alright, I have another question that I want to make sure I did correct. The question is "an objec of mass m is at rest on a rough inclined plane with height h, length 8 m, and which makes an angle of 30degrees with the horizontal. The object is allowed to move and it stops on a rough horizontal...
  8. D

    Need help with Trigo: Inclined Plane and Force

    A 230-Newton box rests on a plank 5 meters long. One end is 1.20 meters higher than the other end. Find the components of the force the box exerts: a) parallel to the inclined plane b) perpendicular to the inclined plane
  9. I

    What is the Power Calculation for Moving Up an Inclined Plane at Constant Speed?

    Please could you help me find some equations that can be used to calculate the power needed to accelerate up an inclined plane and also the power needed to travel up an inclined plane at a given speed? Ignoring rolling resistance, aerodynamic drag, mechanical loss and the force needed to spin...
  10. P

    Two Masses, a Pulley, and an Inclined Plane help

    Block 1, of mass m1, is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2, as shown. Assume that the blocks accelerate as shown with an acceleration of magnitude a and that the coefficient of kinetic friction between block 2 and the plane is mu. Find the...
  11. E

    Solving an Inclined Plane Problem: Find the Minimum Force

    i am stuck on the following problem: a particle of weight w is on an inclined plane that makes an angle of t with the horizontal. the coefficient of static friction is 2*tan(t). find the minimum horizontal force h acting transverse to the slope of the plane that will cause the particle to...
  12. S

    Calculating Mu from a counterbalanced inclined plane

    The physics homework for the weekend dealt with a lab we did the previous day. Currently I'm stuck, and wondering if anyone can help direct me in the right direction. The lab consisted of an inclined plane with an attached pulley. We hooked up a rolling cylinder to a string, that went over...
  13. S

    Accelerating an inclined plane

    hello, consider an plane inclined at an angle theta with a block on it. the problem asks me to find a horizontal acceleration such that the block will not slide down the plane. in part (a), friction is neglected, in part(b), friction is considered. here is what i have done. i fixed the...
  14. N

    Friction / inclined plane question

    I am having trouble setting up the following problem: A child slides down a slide with a 28 degree incline, and at the bottom her speed is precisely half what it would have been if the slide had been frictionless. Calculate the coefficient of kinetic friction between the slide and the child...
  15. B

    Object being pushed up an inclined plane

    I can't figure out how to get the mass of this object, with the information given: Inclined plane with angle relative to the ground of 20 degrees. It takes 70 Newtons to get the object moving up the plane. "Mu" of static friction: 0.35 All my example problems involve an object going...
  16. wasteofo2

    Simple force down an inclined plane question.

    I'm using my teacher's study guide to study for a test, and he has the answers on it. I think he's just wrong with one. Here's the question: A book weighing 20. N slides at a constant velocity down a ramp inclined at 30 degrees to the horizontal. What is the force of friction between the book...
  17. C

    Short webpage title: Determining Masses for Constant Speed on Inclined Plane

    A block with mass 10.0 kg is placed on an inclined plane with slope angle 30 degrees and is connected to a second hanging block that has mass m by a cord passing over a small, frictionless pulley. The coefficient of static friction is 0.45, and the coefficient of kinetic friction is 0.35...
  18. S

    Finding the angle of an inclined plane

    This should be an easy question, but I am having problems with my conflicting solutions. Maybe someone could help. A 1900 kg car experiences a combined force of air resistance and friction that has the same magnitude whether the car goes up or down the hill at 27 m/s. Going up a hill, the...
  19. I

    Frictionless inclined plane physics homework

    A 2.0 kg mass slides down a frictionless inclined plane that makes an angle of 30 degrees with the horizontal. The sass starts from rest. What is its speed after it has slid a distance of 3.0 m along the incline? I got: F = (sin30)(9.8) F = 4.9 N W = Fd W = (4.9) (3) = 14.7 J W =...
  20. P

    Angle for Impending Motion on Inclined Plane with Attached Blocks

    The 8 kg block A is attached to link AC and rests on the 12-kg block B. Knowing that the coefficient of static friction is 0.20 between all surfaces of contact and neglecting the mass of the link, determine the angle for which motion of block B is impending. Can someone check my equations and...
  21. W

    Circular motion on a inclined plane

    A car turns on a inclined road at a speed of 60 km/h, the mass of the car is 3 tons and the radius of the circular motion is 20m; If there is no friction, calculate the required angle in order to keep the car turning at the same speed. I calculated it to be an impossible angle, but my teacher...
  22. M

    Work, Friction, Inclined Plane

    If a mass of 100kg is to be pushed up a plane inclined at 20 degrees from the horizontal, with a total displacement of 2.0 m, and a coefficient of friction of 0.20, how much work has to be done? Looking for the formula. Thanks!
  23. A

    Grade 12 Physics - mass on an inclined plane (different question)

    A block weighing 80N rests on a plane inclined at 20 degrees to the horizontal. The coefficient of static friction is 0.25, while the coefficient of kinetic friction is 0.15. a) What is the minimum force F, parallel to the plane that will prevent the block from slipping down the plane? b)...
  24. N

    Friction of an inclined plane?

    I want to ask what is the formula for the force of friction of an inclined plane?
  25. H

    Inclined Plane Newton's Third Law

    Can anyone help me with this problem? thank-you A box slides down a 39° ramp with an acceleration of 1.32 m/s2. Determine the coefficient of kinetic friction between the box and the ramp
  26. S

    Solving an Inclined Plane Problem

    InClined Plane!..Anyone?Please! a 1kg box on a 30degree frictionless incline is connected to a 3kg box on a horizontal frictionless surface. The pulley is frictionless and massless. A)if the magnitude of F is 2.3N what is the tension in the connecting cord? I found all of my formulas M1 "X"...
  27. P

    In a race down inclined plane why does a cube reach bottom first?

    In a race down inclined plane why does a cube reach bottom first? The other object is a solid cylinder. The cylinder rolls without slipping, and the cube slides. The cylinder has radius R, and a cube has radius R. Does this depend on the mass of the objects? Is it because since the cube...
  28. P

    Mass, spring, inclined plane

    I have a question about thse following system: block of mass M is attached to a spring is on an inclined plane. Why do the force and energy analysis equations give different answers? The question is to find the maximum extension of the spring. Here is my thinking so far. I know if you...
  29. R

    How Do You Calculate Resultant Force on a Skier on an Inclined Plane?

    I posted this question once and am still confused as to how to solve, I have spent much time going at it from different directions...It can't be as hard as I am making it out to be. The question is: "A 60kg skier is in a tuck and moving straight down a 30 degree slope. Air resistance pushes...
  30. S

    Newton's law and two blocks on vertical inclined plane

    hi i have a question: if you have 2 blocks on a vertical inclined plane... ( with angle teta = pi/2) what would m1 be equal to for a1 and a2 to be = 0 (the answer should be in terms of some or all of the variables of m2 and g) thanks
  31. K

    How to Calculate Fn, Highest Point, and Acceleration on an Inclined Plane?

    Inclined Plane Problem. An object of mass M is positioned on an inclined plane with an angle theta. A force of Fp parallel to the base of inclined plane and opposite of the object's x motion is acted upon the object. Suppose there is friction of Uk between the object and inclined plane, and...
  32. B

    2 Balls on inclined plane problem

    Identical balls are rolled down 2 inclined planes of the same height but different inclines. Do they reach the bottom at the same time. Neglect friction and air resistance. Do the balls have the same speed upon reaching the bottom of the incline? :rolleyes:
  33. D

    Centripetal Force / Inclined Plane Question

    A car is rounding a 515 m frictionless curve in the highway. If the curve is banked at an angle of 12.0 degrees, what is the maximum speed of the car? (1.5) I achieved an answer of 32.39 m/s or 116.604 km/h . I used an incline plain to find that Fc = mgsin12 and used that to find the answer...
  34. B

    How Fast Does a 15 kg Block Accelerate Down a 37-Degree Incline If Frictionless?

    a 15.00 kb block slides down an included plane at 37.0 degrees to horizontal. find acceleration of block, if plane is frictionless: theta: 37 m = 15.00 kg a = ?? wtx - fk = ma wtcos(53) - Fk = ma 15.00*9.8*.60 - Fk = ma 88 - Fk = ma not sure here n = mgcos37 n = 15.00*9.8*.80...
  35. M

    Calculating Yo-Yo Angular Momentum on an Inclined Plane

    Physics project on the yo-yo. It's for bonus marks. I need to calculate the angular momentum of a yo-yo when it leaves your hand. The hand represents an inclined plane which imparts the spin. I'm keeping it simple and won't involve friction. What I'm trying to get at is the equation for...
  36. L

    Box sliding up an inclined plane with constant velocity

    I've been working on this problem all afternoon and i just have a complete blackout and no idea how to solve it: the question is what force, parallel to the plane has to be applied if the object is moving up an inclined speed at a steady speed of 3.2 m/s. i have the object's mass and the angle...
  37. G

    Oscillator on an inclined plane

    A spring with force constant K and negligible mass has one end fixed at the top of an inclined plane making an angle theta with the horizonatal. A mass M is attached to the free end of the spring and pulled down a distance x_0 below the equilibirum position and released. Find the displacement...
  38. J

    Solving for Angle of Inclined Plane: 2.3kg Block Sliding Down Frictionless Plane

    Here is the problem: The velocity of a 2.3 kg block sliding down a frictionless inclined plane is found to be 1.12 m/s. 1.20 sec. later it has a velocity of 5.08 m/s. What is the angle of the plane with respect to the horizontal? There is quite a bit of information here. I have gathered some...
  39. E

    Two Masses, a Pulley, and an Inclined Plane

    so frikin confused tried too many times, can anyone help me out? *image attached* Block 1, of mass m_1, is connected over an ideal (massless and frictionless) pulley to block 2, of mass m_2, as shown. Assume that the blocks accelerate as shown with an acceleration of magnitude a and that...
  40. C

    Calculating Torque of sphere resting on an inclined plane

    If I have a sphere with mass m and radius r, resting on an inclined plane with angle \theta. What is the torque on the sphere due to gravity pull? I know that the force that pulls the sphere down the plane is mg *\sin \theta and the (static) frictional force is -\mu_s * mg \cos \theta. If...
  41. G

    How do you calculate the force of friction on an inclined plane

    How do you calculate the force of friction on an inclined plane(ramp) a certain number of degrees from the horizontal?(Which formula is used) Mass of block = 10 Kg Angle of incline = 30 degrees Coefficient of friction = 0.25 Gravity = 9.8m/s2 What is the acceleration of the blockdown...
  42. S

    Rolling Ring on Inclined Plane: How Far Up?

    little bit stuck on a problem, here goes: A ring of mass 2.4 kg with an inner radius 6cm abd outer radius 8 cm is rolling (without slipping) up an inclined plain that makes an angle of 36.9* with the horizontal. At the moment, the ring is 2m up the plane its speed is 2.8 m/s. The ring...
  43. U

    FRICTIONLESS INCLINED PLANE.. (some guidance please)

    I have this problem that I'm not too sure about... it states... you have an inclined plane with a mass of (capital) M. The angle of the incline of the plane is alpha. there is also a mass on the plane that has a mass of (lower case) m. All of the surfaces (the inclined plane, the surface...
  44. A

    Energy Problem, Inclined plane, friction and spring Please help

    An object with mass 1 kg slides down a frictionless inclined plane of length 4 m set at an angle of 30 degrees. It then slides across a flat surface of length 1 m. While sliding across this surface the object experiences sliding friction with the coefficient of sliding friction being .6. It then...
  45. S

    Formula for mass up an inclined plane

    I was just wondering if anyone could help me out with this homework. You have to derive a formula to figure out the work needed to push a mass up an inclined plane. All you know is the gravitational potential energy, the coeffieciant of friction, and the angle. Your supposed to start out with...
  46. B

    How Does Friction Affect the Motion of Blocks on Dual Inclined Planes?

    Here's one from my HW: Two blocks are connected by a massless string on a triangle with a pulley at the top corner. The angle of the left corner is 35 degrees. the angle on the right is 60 degrees. the left block equals 7kg and the right is 9 kg. mu k = 0.25 Determine acceleration of...
  47. S

    2 Masses, Friction, Inclined Plane, Pulley problem

    Here's a problem I've been having trouble with. I was hoping someone out there can give me some insight on it. Basically it's just two masses both coupled together with a massless rope on a frictionless and massless pulley on an inclined plane WITH friction. Here's the diagram. The problem...
  48. T

    What is the optimal angle for minimizing work on an inclined plane?

    Movers want to set the ramp of their truck so that the work they do against the combination of gravity and friction is a minimum for crates moving up the ramp with constant velocity. µ is the coefficient of kinetic friction and θ is the angle between the ramp and the ground. For the work to be a...
  49. T

    What angle should movers set their truck ramp to minimize work?

    Movers want to set the ramp of their truck so that the work they do against the combination of gravity and friction is a minimum for crates moving up the ramp with constant velocity. µ is the coefficient of kinetic friction and θ is the angle between the ramp and the ground. For the work to be a...
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