What is Incline plane: Definition and 143 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. J

    Incline plane, two masses, a pulley

    Homework Statement A string through an ideal pulley connects two blocks, one (mass=2m) is on an inclined plane with angle theta to horizontal and coefficient of kinetic friction mu. The other block (mass=m) hangs off the pulley on the high side of the inclined plane. (looks like this, except...
  2. M

    How to Solve for Acceleration on Two Connected Incline Planes?

    Homework Statement There are two ramps back to back one with a 4 degree incline and the other with a 15 degree incline the mass on the 4 degree is 4 lbs and the other is 24 lbs the 4 lbs mass has a coeffient of .2 and the 24 lbs mass has a coeffient of .4 the two masses have a rope connecting...
  3. A

    Projectile Motion Up An Incline Plane

    Homework Statement A projectile is fired up an incline (incline angle φ) with an initial speed vi at an angle θi with respect to the horizontal (θi > φ). (a.) Show that the projectile travels a distance d up the incline, where d = 2*vi^2*cosθi*sin(θi-φ) / g*cos(φ)^2 (b.) For what value...
  4. P

    Galileo's Incline plane Help for SAC.

    Galileo's Incline plane... Help for SAC. Hey everyone i am new here so excuse me if i confuse you all. I am currently undertaking Galileo's incline plane for my yr.12 assessment and i am a little lost with what i am trying to prove... the data i collected is as follows. - The volume of the...
  5. I

    Help Incline Plane Acceleration Vehicle Friction Distance

    Hello. I am new to this forum. I am a chemist. Physics is not my strength. Recently, I got a speeding ticket and I have to do some simple calculations in order to silence my mind. The problem is the following: A car (m = 1498.95 kg) is constantly accelerating uphill (15 degrees incline) from...
  6. L

    Spring Energy-a block slides down a frictionless incline plane

    Spring Energy--a block slides down a frictionless incline plane A block of mass m = 13 kg is released from rest on a frictionless incline angled of angle θ = 30°. Below the block is a spring that can be compressed 2.0 cm by a force of 270 N. The block momentarily stops when it compresses the...
  7. T

    Advanced Incline Plane Problem

    Homework Statement A dis of mass (m) and radius (r) with I=(1/2)(m)(r^2) is rolling down an incline dragging with it a mass (m) attached with a light rod to a bearing at the center of the disc. The friction coefficients are the same for both masses, Uk and Us. Determine the linear...
  8. C

    What are the calculations for a ball rolling up an incline plane?

    Homework Statement A ball rolls up a straight incline. The dots in the diagram represent the position of the ball every 4 seconds. (The fourth dot is not intended to represent the turnaround point; the ball might still be on the way up at that point.) The instantaneous velocities at the...
  9. G

    Work done by friction on an incline plane

    A block of mass M is being pulled up an inclined plane at a constant speed, by an attached rope that exerts a tension T. The block is pulled a distance L. The plane makes an angle θ with the horizontal, and the coefficient of kinetic friction between the block and the incline is μk. a.)...
  10. L

    Incline plane and acceleration

    Objects of Masss m1= 4kg and m2 = 9kg are connected by a light string that passes over a frictionless pulley. Object m1 = is held at rest on the floor, and m2 rests on a fixed incline of 40 degrees. The objects are released from rest, and m2 slides 1 meter down the <b>rough</b> incline in 4...
  11. L

    Incline plane and acceleration

    Homework Statement [/b] Objects of Masss m1= 4kg and m2 = 9kg are connected by a light string that passes over a frictionless pulley. Object m1 = is held at rest on the floor, and m2 rests on a fixed incline of 40 degrees. The objects are released from rest, and m2 slides 1 meter down the...
  12. N

    Calculating Acceleration and Tension on an Inclined Plane with Friction

    Homework Statement In the figure (sorry for that quick drawing with paint) m_1 (first block) = 4.0kg, m_2 = 5.0kg and the coefficient of kinetic friction between the incline plane and the first block is \mu_k = 0.24. Incline = 30 degree with horizontal Find the magnitude of the...
  13. B

    A mass sliding down an incline plane with a pulley attached

    Homework Statement A mass m slides on a plane. It is attached to an inextensible massless string, the other end of which is attach to an equal mass. you can assume the pulley is frictionless , but that the surface has a coefficient of static friction. and the frictional force has the form F(f)...
  14. P

    Force needed to push box down incline plane

    Homework Statement a) if a force of 86N parallel to the surface of a 20 degree incline plane will push a 120N block up the plane at constant speed, what force parallel to the plane will push it down at constant speed? Homework Equations \SigmaF(X)=F(A)-F(fr)-mgcos\vartheta=0...
  15. B

    Incline Plane Problem: Determining Velocity of a Mass at Height h1

    Homework Statement A mass slides on a frictionless plane inclined at an angle theta from the horizontal. The mass starts from rest at a height h(1)+h(2) , then slides off the ramp at height h(1). I will post the link so you can visualized the problem...
  16. H

    Acceleration on an Incline Plane: Solving for Unknowns

    Homework Statement Starting from rest, a cyclist coasts down the starting ramp at a professional biking track. If the ramp has the minimum legal dimensions(1.5 m high and 12m lomg) find a) the acceleration of the cyclist ignoring friction b) the acceleration of the cyclist if all...
  17. T

    Direction of Static Friction on an incline plane

    An object of a mass "m" is held stationary on an incline plane at an angle "theta" by means of a rope attached to it. The rope is parallel to the incline. The coefficient of static friction between the mass and the incline is "mu_s". I assume the static friction force is up the plane to oppose...
  18. R

    Calculating Acceleration on an incline plane?

    Hi, I'm a first year engineering student and I'm having a hard time understanding this concept. How do you calculate acceleration an an incline plane? Currently I'm working on a problem that has a truck with a mass of 2430 kg traveling at a velocity of 85 mph up a ramp inclined from the x-axis...
  19. A

    How Far Will a Block Slide Up an Inclined Plane?

    [SOLVED] Distance up and incline plane A block with mass m = 11.5 kg slides down an inclined plane of slope angle 24.5 o with a constant velocity. It is then projected up the same plane with an initial speed 3.75 m/s. How far up the incline will the block move before coming to rest...
  20. B

    How Is Force Calculated to Keep a Block Stationary on an Inclined Plane?

    Homework Statement A small block of mass m rests on the sloping side of a triangular block of mass M which itself rests on a horizontal table as shown in the attached figure. Assuming all surfaces are frictionless, determine the force F that must be applied to M so that m remains in a fixed...
  21. T

    How to Solve an Incline Plane and Pulley Problem?

    Homework Statement http://img216.imageshack.us/img216/1767/inclineplanevq9.jpg Homework Equations F = ma sohcahtoa The Attempt at a Solution The answer to the question is b, but I got a. I used the sine ratio and divided the forces that were acting on mass 1 by the forces acting on...
  22. K

    Calculating Work and Distance on an Inclined Plane

    Homework Statement There is a plane inclined 30degree. A box with 4.0kg mass is pushed up the plane with 128J. The kinetic friction between the plane and the box is 0.30. What is the distance will the box traveled until it stops? Homework Equations The Attempt at a Solution Fn=MG...
  23. L

    Incline plane and static friction

    Homework Statement A block sits on an inclined plane, which is slowly being raised. The block remains motionless until the angle the plane makes with the horizontal is 23°. At this angle, the block begins to slide down the plane. What is the coefficient of static friction between the plane...
  24. T

    What are the key concepts to consider when analyzing motion on an incline plane?

    Homework Statement I've got this lab I'm working on and I'm somewhat confused. We pushed a roller cart up an incline plane to determine acceleration and the such. Here is the graph. http://img231.imageshack.us/img231/7950/physicslabpicsh5.png Homework Equations The questions I have...
  25. J

    Tension on Incline Plane: Calculating Forces in a Two-Box System

    1. Homework Statement Two boxes with different masses M1 = 1.3 kg and M2 = 2.2 kg are tied together on a frictionless ramp surface which makes an angle = 29° with the horizontal (see the figure below). (the figure is essentially two boxes tied together by a rope and then another rope tying...
  26. D

    Incline Plane / Friction Problem

    A block slides down an inclined plane of slope angle A with constant velocity. It is then projected up the same plane with an initial speed Vo. a) How far up the incline will it move before coming to rest? b) Will it slide down again? So when it comes at rest, Vy = 0, Vx = 0 Since it...
  27. C

    Incline Plane + Friction

    Two blocks with mass m1 = 4.6 kg and m2 = 5.6 kg are connected by a massless string over a frictionless and massless pulley. The angle of the incline is equal to 55.0°. The kinetic coefficient of friction between m1 and the incline is 0.17. What is the minimum value of the static friction...
  28. M

    Incline Plane with Friction with one object hanging?

    Homework Statement Find the acceleration reached by each of the two objects shown in Figure P4.49 if the coefficient of kinetic friction between the 7.00kg object and the plane is 0.250 Here is a picture of the problem...
  29. I

    An incline plane, friction, and a pulley.

    1. Q: With what amount of force must a person pull on the vertical portion of the rope to make the 1000 kg box travel up the 45 degree rough (u_{k} = 0.10) plane at constant speed? Umm, here is a really awful diagram to help you get the picture. Mac doesn't come with a Paint program, so I...
  30. P

    Incline plane + torque problem

    Homework Statement A tall uniform rectangular block sits on an inclined plane. If Us = .4, does the block slide or fall over as the angle is slowly increased? Also, the block is 3a units tall and "a" units wide. The Attempt at a Solution Just by intuition, I figured that it would tip...
  31. U

    Atwood's Machine and incline plane combined.

    So here is the problem with the two parts and then the teacher's clue... I would be majorly appreciative if you could help me out. Two packing crates of masses m1 = 10.0 kg and m2 = 4.00 kg are connected by a light string that passes over a frictionless pulley as in Figure P4.26. The 4.00 kg...
  32. W

    Rotational motion & Incline Plane

    Hello everybody. I have a rather strange question regarding the rotational motion of a solid object across an incline plane. I wonder if it is possible for a solid object to move upwards the plane without the application of any external force, other than its own weight and the friction with the...
  33. T

    Incline Plane versus Banked Curve

    Okay, so I've been working on incline plane and then banked curve problems. From the incline plane problems and the definitions in my book I believed that normal force was just the y component of the weight, ie the weight times the cos of the angle of incline and no x component, ie parallel to...
  34. H

    Projectile Motion - Incline Plane

    A person stands at the base of a hill that is a straight incline making an angle x with the horizontal. For a given initial speed v, at what angle y (to the horizontal) should objects be thrown so that the distance d they land up the hill is as large as possible? I realize that tan x =...
  35. K

    Newton's 2nd law with an incline plane (I think help0

    Newton's 2nd law with an incline plane (I think...help0 The 1930 kg cable car shown in the figure descends a 200-m-high hill. In addition to its brakes, the cable car controls its speed by pulling an 1830 kg counterweight up the other side of the hill. The rolling friction of both the cable car...
  36. K

    Magnatice field, moving rantangle conducting rod, incline plane

    Imagina an incline plane of angle @. A rod of length L, is at rest( becasuse you are holding it) at the very top of the incline. A magnatice field is pointing up in your mental picture. Find the velocity v of the rod as a function of time once your let go of the rod. Two things in the problem...
  37. S

    Friction Question an incline plane with two angles

    Ok I just can't see this questions I don't want an answer I just whant an explation on how to do it. if you can respond today it would be great thanks! an simple drawing like I did would be great thanks! a block weighing 100 Newtons is positioned on a incline that makes an angle of 30 degrees...
  38. T

    Statics: Incline plane an friction

    Ive been working on this problem for a little while now and basically, I don't know where to go. I have found the friction angle of 7 degrees but I really have no idea where to go next. My book doesn't have any examples like the problem. The problem looks a lot like a basic physics problem so I...
  39. P

    Calculating Force and Angle on Incline Plane with Friction

    Knowing that the incline plane has an angle of 30 degrees and the coefficient of friction between a 60 lb block and the incline is 0.25, determine the smallest force P for which motion of the block up the incline is impending and the corresponding angle the force makes with the incline plane...
  40. C

    Mastering Physics: Collision on an incline plane and perfectly inelastic collision

    Can anyone help me with theses problems? 1. A 500 g cart is released from rest 1.0 m from the bottom of a frictionless, 30 ramp. The cart rolls down the ramp and bounces off a rubber block at the bottom. The figure shows the force during the collision. After the cart bounces, how far does...
  41. tony873004

    The Acceleration of a Block on an Incline Plane: Formula and Minimum Ratio

    Can someone tell me if I did this right? An object of mass m is hung from a rope that passes over a pulley at the top of a ramp and is attached to a block of mass M. (a) Assume m is large enough that the block accelerates up the ramp. Find an expression for the block’s acceleration...
  42. tony873004

    Will a 5 kg Block Slide on a 50 Degree Incline Plane? Calculation and Answer

    This is just a question I made up because there'll probably be one like this on our final exam. A 5 kg block is on an incline plane of 50 degrees. coeffecient of friction is 0.5. Will it slide? N = mg cos(50) N = 31.529 friction = mu * N friction = 15.764 force down = ma f =m g...
  43. M

    What Is the Required Angle for a Block to Slide Up an Inclined Plane?

    You have a block on the incline plane 130 Newtons and it's attached by a rope through a "frictionless" pulley to another block of 45 Newtons hanging of the side of a plane. The question is what angle pheida has to be in order for a 130 Newtons block to start sliding up the plane (not...
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