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. Shardul Khare

    Sliding on an object on an inclined plane

    How does the object slide down the surface (With friction negligible)
  2. Kernul

    Tension Exercise on frictionless inclined plane

    Homework Statement A mass ##m_1## is attached to a second mass ##m_2 > m_1## by an Acme (massless, unstretchable) string. ##m_1## sits on a frictionless inclined plane at an angle ##\theta## with the horizontal; ##m_2## is hanging over the high end of the plane, suspended by the taut string...
  3. Cocoleia

    Hamilton equation for a block on an inclined plane

    Homework Statement I am asked to find the Hamilton equations for a block on an inclined plane (no friction) Homework EquationsThe Attempt at a Solution Please ignore the fact that my steps are written in French (sorry!) I am no longer sure of what I'm doing when it comes to finding the...
  4. P

    Air track - Inclined Plane experiment

    Homework Statement I am about to do an experiment where we masure the average speed of a cart released from the top of an inclined plane that has little friction (air track). The speed measurement is done by a photo gate. This is repeated a hundred times. Homework Equations I need to come up...
  5. Elvis 123456789

    Lagrangian of two masses connected by string on inclined pln

    Two masses, m1 and m2, are attached by a light string of length D. Mass m1 starts at rest on an inclined plane and mass m2 hangs as shown. The pulley is frictionless but has a moment of inertia I and radius R. Find the Lagrangian of the system and determine the acceleration of the masses using...
  6. Elvis 123456789

    Lagrangian of two masses connected by a pulley on inclined p

    Homework Statement Two masses, m1 and m2, are attached by a light string of length D. Mass m1 starts at rest on an inclined plane and mass m2 hangs as shown. The pulley is frictionless but has a moment of inertia I and radius R. Find the Lagrangian of the system and determine the acceleration...
  7. Valerion

    Two masses, two pulleys and an inclined plane

    Homework Statement A block of mass m1 is at rest on an inclined plane that makes an angle (theta) with the horizontal. The coefficient of static friction between the block and the inclined planed is µs. A massless, inextensible string is attached to one end of the block, passes over a fixed...
  8. I

    Object sliding on inclined plane whose angle increases

    Homework Statement I have a question that came up during a mechanics problem. (I put my question towards the end of the post) A particle slides on a smooth inclined plane whose inclination ##\theta## is increasing at a constant rate ##\omega##. If ##\theta(t=0)=0## at which time the particle...
  9. S

    Projectile motion on inclined plane

    Homework Statement As shown in the figure below, small object A is projected upward along a smooth slope forming angle α with the horizontal plane, with initial speed v0 in the direction of angle θ from the horizontal within the slope’s plane. The object continues to travel along the surface...
  10. J

    Kinda tricky inclined plane problem

    Homework Statement Mass 1 of 1 kg is resting on an inclined plane of 30 degrees. A string is attaached to the mass and ran through a pulley at the top of the plane and attached to a suspended mass 2 of 2 kg. How far must the inclined plane be rotated until mass 1 starts to move down the...
  11. AndrewC

    Inclined plane problem with friction

    Homework Statement During a flume ride the boat plunges 54 feet down a 43 degree incline. Assuming coefficient of friction .12 determine the acceleration of the boat.[/B]Homework Equations I'm really not sure, no mass is given or force. All of the equation I know involve mass or force. The...
  12. kubaanglin

    Inclined plane problem strange result

    Homework Statement 7. A boy drags his 60.0-N sled at constant speed up a 15.0° hill. He does so by pulling with a 25.0-N force on a rope attached to the sled. If the rope is inclined at 35.0° to the horizontal, (a) What is the coefficient of kinetic friction between sled and snow? (b) At the...
  13. kubaanglin

    Acceleration = (Force of boy on sled - Force of friction)/Mass of sled

    Homework Statement A boy drags his ##60.0N## sled at constant speed up a ##15.0°## hill. He does so by pulling with a ##25.0N## force on a rope attached to the sled. If the rope is inclined at ##35.0°## to the horizontal, (a) What is the coefficient of kinetic friction between sled and snow...
  14. Cocoleia

    Block attached to a cord on an inclined plane

    Homework Statement I have a block of mass M attached to a cord of mass m on an inclined plane of angle θ . A force F is pulling the cord & block up the plane. I have to find the force exerted on the block by the cord. The surface is frictionless Homework Equations F = ma The Attempt at a...
  15. Cocoleia

    Block projected up inlcline with initial speed

    Homework Statement I have a block on an inclined plane (the angle is 40). The block is projected with an initial speed of 2m/s and μ=0.05. I need to find the time it takes the block to go up the inclined plane and return to the point it started out. Homework EquationsThe Attempt at a Solution...
  16. L

    Clarification for inclined plane object, force components

    Homework Statement there is a frictinless slope. And there is a box sliding down the slope. let's say that the slope slides from right, towards the down and left. object's mass is unknown value m. angle of the slope is 35deg. calculate the absolute value of the acceleration that the box has...
  17. S

    Is there a better method to solve the Box Tipping on Inclined Plane problem?

    I found the following problem on the 2009 F = ma exam. 24. A uniform rectangular wood block of mass M, with length b and height a, rests on an incline. The incline and the wood block have a coefficient of static friction, μs. The incline is moved upwards from an angle of zero through an angle...
  18. nysnacc

    Inclined Plane Motion Homework

    Homework Statement Homework Equations f = mu_k * N F=ma The Attempt at a Solution
  19. R

    Calculating Slipping on an Inclined Plane: A Scientific Perspective

    How can we calculate the slipping of an object down an inclined plane?
  20. D

    What is the solution to this inclined plane problem?

    Homework Statement This problem asks for the angle on an inclined plane-- I have attached the problem below. Homework Equations fnet=ma The Attempt at a Solution I honestly have no idea what to do. I found the vector components for gravity and made a FBD for the box, but I can't really figure...
  21. D

    Inclined Plane Problem-- Solving for Theta

    Homework Statement These two problems are inclined plane problems which I cannot figure out. The problems are attached in the image below. Homework Equations Fnet=ma The Attempt at a Solution I first broke down the gravity force into its x and y components. After that, I did this...
  22. L

    Frictionless Inclined Plane, solve for acceleration

    Homework Statement An object is on a frictionless inclined plane. The plane is at an angle of 30 degrees with the horizontal. What is the object's acceleration? a) 0.50g b) 0.56g c)0.68g d)1.0g e)0.87g Homework Equations F=ma a = g.sin(theta) The Attempt at a Solution I set it up where...
  23. N

    Confused with inclined plane and work done by gravity

    Homework Statement Homework Equations W_g = mgdcos(phi) The Attempt at a Solution So the angle between the force doing work (x component of F_g) and the displacement (down the hill) is 0 degrees. aka phi is 0 degrees. This is true for (a), (b) and (c). so since cos(0) = 1, the work done by...
  24. V

    Path of the particle on inclined plane

    Homework Statement [/B] Homework EquationsThe Attempt at a Solution Honestly speaking , I have little idea about this problem . All I can think of is that since the particle is in static equilibrium , the particle has no acceleration . So , if T is the tension in the string then resolving...
  25. K

    I Turning radius of curved plane on an inclined plane

    Hi again. I hope this is the right section to ask this question. Not home work (I'm retired) but yet another mind game I'm playing (and still getting nowhere). I have trying to work out the formula for how a ski will perform a carved turn. I have looked at many (many Many) websites and they...
  26. V

    Cylinder hitting inclined plane

    Homework Statement Homework EquationsThe Attempt at a Solution To bring the cylinder to a stop both linear impulse and angular impulse would be required . Linear impulse would be provided by the normal force from the plane whereas the angular impulse has to be provided by the frictional...
  27. E

    (somewhat complex inclined plane problem) why is this wrong?

    Note:- All surfaces given here are frictionless. To find:- Acceleration a Relevant eqs:- F = ma Attempt at solution:- The equations I've gotten so far:- 1) N1sin(theta) = m2a 2) m1gsin(theta) = m1a1 3) m1gcos(theta) - N1 = m1a2 So far, 3 eqs, 4 unknowns. For the 4th eq, I did a2sin(theta) =...
  28. M

    MHB Applying rotation matrix to make inclined plane flat again

    I want to rotate an inclined plane to achieve a flat surface. I think I can use the Euler angles to perform this operation. Using following data: and following rotation matrix I think you can make the plane flat by following rotations: 1: rotation around x-axis by 45° 2: rotation around...
  29. R

    Crate pushed up an inclined plane

    Homework Statement A warehouse worker pushes a crate of mass 24 kg up a ramp. Assume that the friction between the crate and ramp can be ignored. a) Determine the component of gravitational force directed along the ramp's surface. b) Calculate the force required to move the crate at a...
  30. Sirsh

    Acceleration on an inclined plane

    I have a problem with conceptualising what happens to an object as it travels down an incline slope. Online resources say that as the gradient of the slope increases the acceleration increases, but isn't this incorrect in a sense. Shouldn't it be said that as the incline of a plane increases...
  31. B

    Stopping Distance affected by Mass of Cart on Inclined Plane

    Homework Statement I am doing my IB Physics Individual Investigation on how mass affects the stopping distance of a small cart when colliding with an open box at the bottom of an inclined plane. I wanted to know the relationship mass has with the stopping distance, similar to how a train...
  32. I

    Dynamics Skier on a Slope Problem

    Homework Statement A skier on a slope inclined at 4.7 degrees to the horizontal pushes on ski poles and starts down the slope. The initial speed is 2.7 m/s. The coefficient of kinetic friction between skis and snow is 0.11. Determine how far the skier will slide before coming to rest. Answer...
  33. K

    Cylinder wrapped with wire on hill with magnetic field

    Homework Statement The figure shows a cylinder of mass 3.5kg, radius 4.4cm and length 10.2cm with 105turns of wire wrapped around it lengthwise, so that the plane of the wire loop contains the axis of the cylinder. What is the least current which while flowing through the loop will prevent the...
  34. P

    Lagrangian of a disk with a hole on an inclined plane

    Homework Statement A wheel consists of a circular uniform disk with a circular hole in it. The disc is of radius R and mass per unit area ρ. The hole is of radius ro and an axle of radius ro passes through it. The centre of the hole is offset radially from the centre of the disk by ro. The...
  35. Maka42

    Velocity change due to load dropped vertically onto trolley

    A trolley is moving at a constant speed down a track, with no net force acting upon it. A heavy load is dropped vertically on top of the moving trolley. What happens to the trolley's speed? a) It stays the same, b) It decreases, c) It becomes zero, d) It is impossible to say, e) It increases...
  36. dakota224

    Downward Projectile Motion on an Inclined Plane

    Homework Statement A skateboarder in a death-defying stunt decides to launch herself from a ramp on a hill. The skateboarder leaves the ramp at a height of 1.4 m above the slope, traveling 15 m/s and at an angle of 40° to the horizontal. The slope is inclined at 45° to the horizontal. With what...
  37. J

    Particle on an inclined plane.

    Homework Statement When resolving forces on an inclined plane, can anyone explain to me why 1.2g in my pic is used as the hypotenuse? It looks intuitively like it should be the opposite or adjacent. Thanks for any help :) Homework EquationsThe Attempt at a Solution
  38. M

    Block off inclined plane (kinematics + projectile motion?)

    Homework Statement A block of mass m = 2.00 kg is released from rest at h = 0.300 m above the surface of a table, at the top of a θ = 50.0° incline as shown in the figure below. The frictionless incline is fixed on a table of height H = 2.00 m. a. Find a on the incline a=7.51 :) b. Find V(f)...
  39. J

    Frictional force on an inclined plane

    Homework Statement A suitcase of mass 16 kg is placed on a ramp inclined at 15 ° to the horizontal. The coefficient of friction between the suitcase and the ramp is 0.4. Determine whether the suitcase rests in equilibrium on the ramp, and state the magnitude of the frictional force acting on...
  40. K

    Forces on an inclined plane with a pulley

    Homework Statement A 77.0 kg patient is suspended in a raised hospital bed as shown in the figure. The wire is attached to a brace on the patient's neck and pulls parallel to the bed, and the coefficients of kinetic and static friction between the patient and the bed are 0.500 and 0.800...
  41. kartmaze

    Fluid Velocity from a Pipe onto an Inclined Plane

    I'm not really sure where to post this. I saw that this Homework section exists even for technically non-homework (I'm designing a machine at work, but the problem is homework-esque and my fluid dynamics knowledge is rusty at best). I'm not sure if this introductory or advanced, and the template...
  42. C

    Problem regarding projectile motion on a inclined plane

    Homework Statement A projectile is thrown on an inclination plane with incline angle phi with an inital velocity V0 on an angle theta. Find the range of the projectile; treat the hypotenuse of the inclined plane as the x-axis. For what value of initial velocity angle is the range maximum, and...
  43. R

    Calculating the speed taking into account the weight of a person

    I need to buy a DC motor for an electric skateboard project. I need to calculate the speed at which it can travel with a person on top. I can calculate the speed at which the skateboard can go but is does not account for the weight of a person as that will surely decrease the speed. What formula...
  44. J

    Forces on inclined plane question

    1. An object of mass m = 1 kg is initially placed on a frictionless plane, inclined by an angle θ = 30o as indicated below. How long does it take the mass to move the distance of 10 m down the incline?2. I had a question if how I solved this is correct. I got the right answer and I wanted to...
  45. Issy04

    Resolving forces in equilibrium on inclined plane

    Homework Statement Solve for the forces P and N acting on an object in equilibrium on an inclined plane. Weight=10N, angle is 30 degrees http://blob:https%3A//www.physicsforums.com/d431a152-5681-411b-ba57-809320539165 Homework Equations Trigonometry, i.e. sin, cos, tan rules. The 'Z' rule...
  46. M

    Finding acceleration of a block on the way down an incline

    Homework Statement Find acceleration of block on the way down incline. The incline is 40 degrees and made of steel. The block is also made of steel. μs = 0.6 μk = 0.3 mass of block = 2.00 kg Homework Equations a = g (sinθ - μcosθ) a = F/mThe Attempt at a Solution My friend is getting 4.04...
  47. S

    Which force does friction counteract on an inclined plane?

    This is not a specific problem. It pertains to all the problems I'm working on and only requires that I have one concept explained. If an object is being pulled up a plane by a force parallel to the plane, does the friction work against the parallel component of the gravity or the force pulling...
  48. Y

    Solid sphere and hollow sphere rolled down an inclined plane

    A solid sphere and a hollow one of same mass and radii are rolled down a rough inclined plane. Which of the following is true? (A) solid sphere reaches bottom with greater speed. (B) solid sphere reaches the bottom with greater kinetic energy. ( I know that option A is correct.Thus I felt that...
  49. C

    Magnetic Force/Field, Current, Inclined Plane Problem

    Hello! I just need someone to check my work here. I already turned in the homework with my hunch, but now I just want to check my work because it is killing me not knowing 100% :) I am having strong conflicting thoughts on particular parts and thought I'd post it here for clarification. I will...
  50. T

    Inclined plane and 2 wheels problem

    Suppose we have an inclined plane and 2 wheels. Both wheels have the same mass M but different radius R. So the only difference is that one is bigger than another. We put both wheels on the top of the inclined plane. They are in the same position, and then we let them go. I know that the wheel...
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