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.

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  1. 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...
  2. J

    Calculating Acceleration in an Inclined Force Problem with Pulley Setup

    I am having trouble on one of my homework problems. The problem is What is the acceleration of the system if M1 is 5 kg and M2 is 4kg and the coefficient of friction between M1 and the table is 0.20? There is an image along with the problem. Basically it is just like a standard inclined plane...
  3. 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...
  4. 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...
  5. DudleySquires

    Help with an inclined plane problem

    Hello folks. After a while lurking I've finally got a problem that I need some help with! 1. Homework Statement I'm designing an adaptor for a drinks optic and have translated one of the aspects of the design into the following problem. There is plenty of stuff on the net about simple...
  6. J

    Frictionless Multiple Body Problem with Inclined planes

    Homework Statement An m1 = 7.6 kg block and an m2 = 10.7 kg block, connected by a rope that passes over a frictionless peg, slide on frictionless incline. Find acceleration of boxes and tension of the rope. Homework Equations F=ma I'm not sure what else The Attempt at a Solution I'm really...
  7. E

    Lagrangian problem of a cylinder on inclined plane and two springs

    Homework Statement A cylinder on a inclined plane is rolling without slipping. Inclined plane is connected to wall with a spring and cylinder is connected to wall with a spring too. All frictions will be neglected, and all the given data has shown on the image below. As seen above, k2 spring...
  8. I

    Acceleration of an inclined plane?

    If I have a ramp that is 1.143 meters long, and I need to make it incline at a certain angle and height to make sure the acceleration is .5 m/s^2, how would I go about doing that without taking friction into account and without weighing anything?
  9. E

    What is the magnitude of acceleration for a block released up an inclined plane?

    Homework Statement 1st example: A 10 kg block is pushed up a ramp at a constant speed of 5.7 m/s. The ramp makes an angle of 30 degrees to the horizontal and the ramp is frictionless. The block is released and allowed to slide up the ramp until it stops. What is the magnitude of the...
  10. M

    Coefficient of kinetic friction on inclined plane

    Why would the coefficient of kinetic friction be larger for an inclined plane versus a horizontal plane? Would it be related to the material? I thought initially it was something to do with the force of gravity… but apparently that's not it :( Thanks so much in advance!
  11. K

    Inclined throw in a vertical loop

    Homework Statement A small ball rotates in a vertical loop of radius R. it's velocity is the minimal required to stay in the loop. Now the loop is cut at an angle ##\alpha## and the ball shoots out of it. Express ##\alpha## so that the ball falls back into the loop and continues turning...
  12. H

    Forces and Inclined plane (ramp)

    Homework Statement A block of mass m is held in place on a ramp of mass M with a slope of angle θ, which in turn is held in place as shown in the figure below. The ramp is free to move on the surface beneath it. There is no friction anywhere. The block and the ramp are then released. Derive an...
  13. G

    What in the name of inclined planes?

    (The degrees is 35.8) So far I thought that i'd solve it like this: Weight of block W = mg Component of W parallel to slope = Wsinθ Component of W perpendicular to slope = Wcosθ Call R the normal reaction force of the slope on the block. In the direction perpendicular to the slope, the...
  14. P

    Finding a velocity of an object moving down an inclined plane help

    Homework Statement A block with a mass of 1.137 kg is placed at the top of an inclined plane. The plane is d = 2.592 m long. The angle θ the plane makes with the horizontal can be adjusted, changing the height of the top of the plane. The lower half of the plane has a rough surface with...
  15. Rugile

    Torricellian tube inclined

    Homework Statement A Torricellian tube (one end open, one end closed) of 1m length is filled completely with mercury and situated vertically the closed end down. Then the tube is flipped around 180 degrees and there is 760mm of mercury left. If we incline the tube at an angle \phi , what is...
  16. D

    Collision of ball with a fixed inclined plane

    if a ball of mass m were to strike an fixed incined plane of 45degress with velocity of 3m/s, and was rebounded horizontally, what would be the velocity of the rebounded ball.(elastic collision). this the method i have tried. momentum of the system along the x-axis is conserved.therefore...
  17. S

    What is the Relationship Between Energy and Friction on an Inclined Plane?

    Homework Statement EDIT: I have solved it entirely myself.Homework Equations The Attempt at a Solution
  18. M

    Block on inclined plane - pushing vs pulling

    When resolving all of the VERTICAL forces in a block that is being pushed up an incline with some incline amount theta, then when PUSHING with force P at an angle of alpha on the block, then the vertical component of force P is sin (alpha) * P in the downward direction (opposite of the Normal...
  19. J

    Resolving Forces on an Inclined Plane: Finding the Components of a Force

    Suppose a force F is acting downwards on an object sitting on a plane that is inclined 45 degrees to horizontal. express the force as a sum of a force acting parallel to the plane and on acting perpendicular to the plane I figured I need to use ||F||cos 45i+ ||F||sin 45j and the...
  20. J

    Cylinder attached to a block on an inclined plane, rotational dynamics

    Homework Statement A cylinder of mass M and radius R, with moment of inertia: I_c = \frac{1}{2}MR^2 rolls down without slipping through an inclined plane with an angle of θ, while pulling a block of mass Mb with an attached frame (of insignificant mass) which is connected to the axis of...
  21. S

    Block sliding down an inclined plane

    Homework Statement A block takes 3 times as long to slide down an inclined plane that makes an angle of 30 degrees as it does to fall freely through the same vertical distance. Determine the coefficient of friction. Homework Equations F=μN The Attempt at a Solution I do not know...
  22. B

    Return of the Inclined Plane Double Pulley: Part II: Energy

    Homework Statement My last inclined plane problem has a second part to it: There are some energy problems I need to solve. A double pulley consists of two separate pieces that are welded together; a hoop of radius 10.0 cm and a disk of radius 15.0 cm. The moment of inertia of the pulley is...
  23. B

    Inclined Plane Double Pulley Problem

    Homework Statement A double pulley consists of two separate pieces that are welded together; a hoop of radius 10.0 cm and a disk of radius 25.0 cm. The moment of inertia of the pulley is 0.160 kg-m^2. A 15.0 kg block (m1), on a 35.0° incline, is attached to the outer pulley by a massless...
  24. U

    Block moving on an inclined plane

    Homework Statement A block is placed on a plane inclined at an angle θ. The coefficient of friction between the block and the plane is µ = tan θ. The block is given a kick so that it initially moves with speed V horizontally along the plane (that is, in the direction perpendicular to the...
  25. K

    Inclined throw - motorcycle jumps from the ramp

    Inclined throw -- motorcycle jumps from the ramp Homework Statement The motorcycle jumps from the ramp. what is the minimum speed at the edge in order to reach the other side. Homework Equations Constant acceleration: V=-gt The Attempt at a Solution The time to reach height of 1.5 meters...
  26. BrainMan

    Calculating Tension in an Inclined Plane Problem

    Problem: a 1200-N go-cart is being pulled up a 25 degree incline by a rope that makes an angle of 35 degrees with the horizontal. Neglecting all frictional effects, determine the tension in the rope necessary to pull the cart up the incline at a constant speed Relevant equations: Sum of the...
  27. B

    Pulley with 2 Blocks on an Inclined Plane. Help please

    Homework Statement I've been stuck on this problem for hours now. I know it has to be somewhat simple, but I am not too great in physics, so I am asking for help on how to complete this problem. Two blocks are positioned on surfaces, each inclined at the same angle 50 degrees with respect...
  28. D

    Work questions- An object on an inclined plane involving friction.

    Homework Statement A skier, mass m = 85 kg including skis, poles and clothes, skis directly down a slope with an angle Φ = 21° to the horizontal. His body is rigid, the poles are not touching the snow. He is traveling at a constant speed of 71 kph in a straight line. The coefficient of...
  29. S

    Where do I place the bearings for a stable inclined rotating drum?

    Homework Statement I am basically designing a rotary drum dryer and need to know the positions of the bearings for the dryer to be stable. The drum is of length 17 m with diameter 3.24 m, inclined at 2° rotating at 3.24 rpm. I need to find the distance X and OY. (Given that Y passes through...
  30. ShayanJ

    Masses on an inclined plane and their Lagrangian

    Consider the configuration below shown in the attached picture! The wedge can slide on the inclined plane and the cube on the wedge.Their motion is described by x_1 and x_2 respectively. There is no friction and the inclined plane doesn't move. Here's the Lagrangian of the system...
  31. M

    Ball bouncing on inclined ramps

    Homework Statement Last week we did a practical in which we bounced a ball from the same point onto an inclined ramp, from 10-50 degrees and measured the distance from where the ball was dropped and when it hit the table (i.e. place where it landed after it bounced off the ramp). Homework...
  32. G

    Work Done on a Block on an Inclined Plane

    Homework Statement A block of mass m=18kg is pushed horizontally with a force of Fp=150N up an inclined plane of angle θ=32° and coefficient of friction of μ=0.10, a distance of x=5m. a) What is the work done by Fp. b) Work done by the gravitational force. c) Work done by the normal force...
  33. A

    Two cylinder conected, rolling down an inclined plane

    two cylinder conected, by two roads, rolling down an inclined plane. Find equation of motion and tension of roads. I know that the lagrangian is: 0.5 m \dot{x}^2+0.5 I_1 \dot{\theta}^2++0.5 I_1 \dot{\theta}^2+mgx\sin \alpha + mg(x+l)\sin \alpha ¿ is good my lagrangian?, ¿how is present...
  34. R

    Car moving up Inclined Plane question

    My question and attempted solution are in the pics below...not sure if what I did was correct though :/ I was thinking that the work done would have been equal to PE+Change in KE + Energy Lost to friction...but not sure how to calculate the energy lost to friction as I'm not sure if it has to...
  35. phoenixXL

    Inclined Plane Rotational Motion

    Homework Statement A cyclinder of mass m and radius r is rotated about its axis by an angular velocity ω and then lowered gently on an inclined plane as shown in figure. Then: (a) It will start going upward. (b) It will first go up and then downward. (c) It will go downward just after it is...
  36. P

    A block slides down an inclined plane of slope angle (theta)

    Homework Statement A block slides down an inclined plane of slope angle (theta) with constant velocity. It is then projected up the same plane with an initial speed v(knot). (a) How far up the incline will it move before coming to rest? (b) Will it slide down again? Homework...
  37. C

    Resistance & Force In Inclined Planes

    Homework Statement Okay, So I Have A Physics Packet That My Teacher Handed Out On Inclined Planes. I Was Not There So I Do Not Know How To Complete The Table. I Have To Complete A Chart. The Chart Gives Me The Length Of The Incline, The Height, & The M.A. . I Know How To Calculate The M.A...
  38. TheFerruccio

    Bar on inclined slot on one end

    Homework Statement Here, have a diagram I made! The problem is to find the moment about the midpoint of the bar when it is horizontal, given that the right end is moving in towards the frictionless slot at a velocity v. Gravity and friction are neglected in this system. If you want...
  39. applestrudle

    Rolling on flat floor, rolling down an inclined plane?

    When rolling on a flat floor when the velocity at the circumference equals the velocity at the centre of mass the friction stops acting right? SO why does't that happen when it is rolling down an inclined plane? If it is rolling shouldn't the point in contact with the inclined plane be...
  40. R

    Solving the Inclined Plane Puzzle

    This is driving me nuts. What am I missing? Suppose you have an inclined plane with a mass m resting on it. The free body diagram for the mass m has F_grav downward and F_normal perpendicular to the surface of the inclined plane. Thus, by Newton's Second Law, you have: ∑F=F_grav+F_norm=ma with...
  41. B

    Horizontal force outward inclined plan.

    Homework Statement A block of 5 kg is on plane that is inclined of 37°, an outward (It is not directed toward the plane but it drags the the block horizontally away) horizontal force of 50 N is applied on the . The friction coefficient of that plane is 0,30. What is the total force that is...
  42. G

    Applied force in horizontal direction on block on a inclined plane.

    Homework Statement 10kg block on a inclined plane (32degrees) (frictionless) and an applied force 120N horizontally. What is acceleration? Homework Equations Fnet = ma The Attempt at a Solution mgsin32 = 51.9N (from mg) From applied force, in the same plane, we have xcos32=120...
  43. S

    Collision of ball with inclined plane

    1. Hi, I'm a computer engineering graduate. I'm developing a computer game similar to Soundrop (Apple). The situation is: balls fall vertically down under the effect of gravity. There are various inclined planes in the frame (of known angle of inclination). There could be multiple...
  44. S

    When are stairs NOT an inclined plane?

    Homework Statement What is the mechanical advantage of a staircase that is 10 meters long (horizontally) and 5 meters high (vertically)? Homework Equations MA=Length/Height The Attempt at a Solution MA=2.2 I'm certain that this is the answer my teacher is looking for, but it...
  45. A

    Two masses on inclined plane with frictionless pulley

    Homework Statement A 1.00-kg aluminum block and a 4.00-kg copper block are connected by a light string over a frictionless pulley. The two blocks are allowed to move on a fixed steel block wedge (of angle 31.0°). The aluminum block is on the left side, on a flat plane. On the right is the...
  46. J

    Why does a=g*sin(theta) on an inclined plane

    I understand the derivation that on an inclined plane of angle θ, the acceleration of the object on the plane, parallel to the plane, is a=g*sinθ. However, I was just thinking about it, and should it not be a=g/sinθ ? I got this because sinθ = g/a. θ is the angle between the ramp and the...
  47. R

    What is the acceleration and time for a block on an inclined plane?

    I am stuck on a problem from the 5 Steps to a 5: AP Physics B&C book and would really appreciate anyone's help. Homework Statement Determine (a) the acceleration of the block down the plane and (b) the time for the block to slide to the bottom of the plane...
  48. A

    A wheel rolls down a flat inclined surface

    1. A wheel rolls down a flat inclined surface that makes an angle $\alpha$ with the horizontal. The wheel is constrained so that its plane is always perpendicular to the inclined plane, but it may rotate about the axis normal to the surface. Obtain the solution for two-dimensional motion of the...
  49. V

    What Is the Velocity of an Inclined Plane as a Block Slides Down?

    Hello Friends, I am not able to solve a problem of my textbook A block of mass m slides on a inclined plane of mass M, then What is the velocity of inclined plane when mass m reaches the ground ? ("All surfaces are friction less and the height of inline plane is H and the angle of inclination...
  50. P

    Inclined Plane Experiment: Iron Ball Attraction and Stopping Behavior

    When an iron ball is allow to roll down the inclined plane such that magnet is fixed at the bottom of plane then rolling ball is attracted towards the magnet. But if two iron balls all allow to roll down then they stop in between on plane. Why
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