# Inclined planes Definition and 54 Threads

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. ### Equilibrium of a stiff plate on inclined planes

I HAVE NO IDEA HOW TO START.ONLY THINGS I KNOW ARE WHAT I RERAD ON THIS THRED. https://www.physicsforums.com/threads/equilibrium-of-a-stiff-plate-on-inclined-planes.947601/I can't continue from there. There are also questions where α=β, α+β=45 and where α=45,β=60.How to make use of the fact...
2. ### Question about the role of mass in inclined planes

Hi! I have a question about inclined planes. In the diagram I attached, you can see that, with or without friction, mass does not affect the acceleration of the block. However, in my experience, the more people I put on my sled, the faster it goes. Why is this?
3. ### Ratio of acceleration of two solid cylinders released on two inclined planes

I am not sure about my free body diagram. I assume the cylinder rolls without slipping so the forces acting on the cylinder are: Weight directed vertically downwards Normal force directed perpendicular to the plane friction directed upwards, parallel to the plane Am I correct till this point...
4. ### Inclined Planes, finding time from acceleration at an angle

Because the friction is the same in both parts, the calculated acceleration from (b) should be the same for (c) I knew I could find Vf, and thought I could do it with an energy equation Ei=Ef mgh=1/2mv^2 gh=1/2v^2 (2)9.81(1.5)=1/2v^2(2) (square root)29.43=(square root)v^2 v= 5.424 Then...
5. ### Inclined Planes, finding final velocity

I determined 42m to be the hypotenuse so I used sine law to find the height of the incline, 10.87m. I used this height in the equation Ei=Ef, since they should be equal. Ei=Ef mgh=1/2mv^2 (at the start there is no kinetic energy, at rest. at the end there is only kinetic, no potential)...
6. ### Free body diagrams for boxes, inclined planes and springs

FIRST PICTURE I have some doubts here because of the spring... I'll tell you what forces I've drawn. For ##A##, I drew the weight and the force applied by ##B## (the normal force) on the vertical axis; and the elastic force pointing to the right on the horizontal axis. For ##B##, I drew the...
7. ### I have a hard time with kinematics involving inclined planes

Homework Statement Two blocks of mass m1 = 3.00 kg and m2 = 6.00 kg are connected by a massless string that passes over a frictionless pulley (see the figure below). The inclines are frictionless. Image - https://www.webassign.net/serpse9/5-p-049.gif The inclined plane is shaped like a...
8. ### Equilibrium of a stiff plate on inclined planes

Homework Statement A thin stiff uniform rectangular plate with width L (L =AB) is lying on two inclined surface as shown in Fig. 3-1. The angle between the horizontal surface and the left inclined surface is α, and that between the horizontal surface and the right inclined surface is β. It is...
9. M

### Find the tension in the cable and the force the ramp exerts on the tires

Homework Statement A 5000 kg car rests on a 32° slanted ramp attached to a trailer. Only a cable running from the trailer to the car prevents the car from rolling off the ramp (the car's transmission is in neutral and its brakes are off). Find the tension in the cable and the force that the...
10. ### Can Conservation of Energy Explain Pulley and Inclined Plane Mechanics?

Homework Statement Homework Equations Conservation of Energy / Virtual Work $$\sum_i m_i g h_i = 0$$ The Attempt at a Solution Moving the pulley I labeled A down by ##\delta y## moves ##w## down by ##\delta y##, and moves ##W## up by ##\frac{1}{2} sin\theta##. So by conservation of energy...
11. ### How Does Friction Affect Momentum on an Inclined Plane?

Hello everyone, I have this problem at which I don't understand the solution. So we have an inclined plane and a block of mass m standig on it , at it's highest point. Knowing the angle of the inclined plane(alpha) , the height of the inclined plane, the friction coefficient between the 2...
12. ### Resistive Forces on Objects on an Incline

Homework Statement A boy on a board B slides down a slope. The angle of the slope to the horizontal is 30°. The total resistive force F acting on B is constant. The boy on the board B moves with velocity v down the slope. The variation with time t of v is shown in Fig. 3.2. Calculate the...
13. ### 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...
14. ### Two masses on two inclined planes -- What is magnitude of velocity

Homework Statement Two boxes of equal mass m are connected by a light string over a massless pulley, and rest on surfaces of inclination θ and φ, θ>φ. The boxes are released from rest. The coefficient of kinetic friction between the boxes and the surfaces is μ. Determine the magnitude of the...
15. ### 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...
16. ### 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...
17. ### 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...
18. ### 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...
19. ### 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...
20. ### How Does the Pulley Rotate in a Modified Atwood's Machine with Friction?

Homework Statement 2) In the variant of Atwood’s machine shown below, a mass slides on an inclined surface 40θ above the horizontal with a coefficient of kinetic friction μk = 0.15. The masses M1 and M2 are 1 kg and 2 kg, respectively. Which way does the pulley rotate? If the lowest point of...
21. ### Energy loss and inclined planes

Homework Statement A trolley is of mass 20kg is pushed 35 metres up an inclined plane (to a height of 10m above ground level). The inclined plane is at arcsin(2/7) to the horizontal. A 100N force pushes the trolley to the top of the plane, the force being parallel to the inclined plane. The...
22. ### How Do Forces Affect Motion on Inclined Planes?

Homework Statement http://img203.imageshack.us/img203/8536/capturezo.png Homework Equations The Attempt at a Solution I want to first make sure I understand the problem properly. Please verify each of my statements. If there is no force F acting on the (large) triangular block, then the large...
23. ### MHB Transforming Vectors: Real-Life Examples Beyond Inclined Planes

Why would we want to transform a vector in our normal basis (xyz axes) to another basis? The only situation I can recall is when we are looking at a force applied on an inclined plane. Are there any other real life examples where this may be necessary?
24. ### Inclined planes, Banked highways, and Normal force

Alright, I don't have a specific homework problem here, just a general question. I've attached two pages that I will be referencing. Figure 1. Inclined Plane As can be seen here, the FN = mgcos(∅) Figure 2. Banked Curve It seems as if the opposite is true here. FNcos(∅) = mg...
25. ### Stress - Cross-sectional and Inclined planes

Stress -- Cross-sectional and Inclined planes As per attachment... "On the cross-sectional plane mm the uniform stress is given by P/A, while on the inclined plane mm the stress is of magnitude P/A'. In both cases the stresses are parallel to the direction of P." The parallel part...
26. ### Which Way Will the System Move and What Is the Acceleration?

Homework Statement Two blocks connected by a cord passing over a small fictionless pulley rest on an double inclined plane (ie a traingle) with static friction coefficient of 0.5 and a kinetic friction coefficient of 0.4. The mass of block A is 100 kg (sitting at 30 degrees), while the mass of...
27. ### Measuring Slipperiness of Fluids on Inclined Planes

I want to test several different fluids on an inclined planes and figure out which one is the most slippery. What would be the most scientifically sound way to measure this?
28. ### Determining the gravity using inclined planes

I have been using the formula a = g sin(theta) to process my data I am however pretty sure something is wrong. I doubt it is my data that is wrong, even though when I look at them they look weird in the sense that I would think that after one second the acceleration should have been doubled...
29. ### Kinetic friction and inclined planes

Homework Statement A block of ice of mass m slides down an incline that makes an angle θ = 40.7° with the horizontal. In trial 1 there is no friction; the block starts at rest and takes time t to reach the bottom of the incline. In trial 2 there is friction, and the the block slides down the...
30. ### Multiple choice question involving conservation of energy on inclined planes

Homework Statement You have a pair of inclined planes such that a block that slides down one can slide up the other without losing any energy in the transition. The inclined planes are both at an angle θ from the horizontal, as shown in the diagram. The inclined plane on the left is...
31. ### Is Newton's 3rd Law of Motion always in equilibrium on inclined planes?

Okay, I am currently reading about motion on inclined planes and how the normal force acts directly perpendicular to the surface of the plane and how the gravitational force, obviously, acts downwards. Since the two forces are not inflicted in opposing directions, we split the gravitational...
32. ### Inclined Plane Physics: Cylinder vs. Superconductor

Lets say I have an inclined plane and I roll a solid cylinder down it and slide a brick down it. And let's say I slide the brick down on oil,Or better yet I slide a superconductor down and have It float above bar magnets. The superconductor moving down the plane will always beat the...
33. ### Two masses on two inclined planes

Homework Statement If the left hand slope makes a 60 degree angle and the right hand slope makes a 20 degree angle. the left hand mass is 2.1 kg, and the right hand mass is unknown. what would the right hand mass be given a downward acceleration of .64 m/s^2. ? upslope at .76 m/s^2...
34. ### Pulley system with 2 inclined planes on either side, a block, and a cylinder

Homework Statement Two inclined planes on either side of a frictionless pulley have angles theta (30 degrees) and phi (60 degrees). On the theta plane is a circular solid cylinder of mass M (1.2 kg) and radius R (.2 m). It is connected by a weightless rope and over the pulley to the other...
35. ### How do inclined planes affect forces on an object?

Homework Statement On sheet Homework Equations On sheet The Attempt at a Solution On sheet
36. ### Masses on inclined planes and pulleys

1. Two objects are connected via a pulley and some string. The 12 kg cart is on a frictionless 42 deg. incline while the 15kg block is on a horizontal surface having a coefficient of friction equal to 0.23. Determine the acceleration of the system of masses. 2. Fnet=ma 3. I first...
37. ### How Much Work Is Done Pushing an 80 kg Box Up a Frictionless Incline?

1. An 80.0 kg box is pushed up a frictionless incline. Hypotenuse = 10.0 m. Opposite = 7.0 m. How much work is done on the box moving it to the top?
38. ### Inclined Planes - Multiple Ones

This isn't exactly a specific question, but it is part of my homework (project). Anyways, suppose I have an inclined plane at 60 degrees. I can measure the mass of a freight car on top of the plane to calculate the force and final velocity of that car... I did this before in physics, and it...
39. ### Work And Power Problems Using Inclined Planes and Forces

Homework Statement A)What is the minimum work needed to push a 1610 kg car 302 m up a 15 deg incline? Ignore friction. B) Assume the effective coefficient of friction is 0.25. (I have part A, the answer is 1.23x10^6 J)Homework Equations Force of Friction = \mu x Normal Force Work = Applied...
40. ### Inclined planes + vector questions

So, my physics teacher has made this VERY confusing. We use vectors. But for some reason I keep wanting to think the resultant vector is the ultimate vector for magnitude and direction of force,speed acceleration w/e. But for some reason I'm not seeing that Normal force is the force that...
41. ### General Friction Info& Inclined Planes

I'm wondering about general info on friction and how to find it. Also equations that are related to it also. And I want to know how to draw inclined planes at an angle. Thanks!
42. ### Additional Force Required for Inclined Planes

I'm trying to calculate what additional force would be required if a load was to be moved up an inclined plane of 6.5 degrees instead of simply moving it laterally. My question actually relates to "turning" an object up an inclined plane but I really just want to understand the % increase in...
43. ### Exploring the Relation of Theta in Inclined Planes

Homework Statement By what relation/reasoning are these two angles, theta, the same? http://img198.imageshack.us/img198/6273/inclinedplane.jpg
44. ### Inclined Planes: Heavier Can Go Farther?

this might be a dumb question , so if I roll 2 cans down a ramp one heavier than the other one they will obviously accelerate at the same rate but when they get to the flat land will the heavier one go farther because it has more mass to over come the drag or because it has more kinetic...
45. ### Projectile motion in inclined planes?

Two inclined planes intersect in a horizontal plane. Their inclination to the horizontal is α and β. If a particle is projected at right angles to the former from a point in it so as to strike the other at right angles, then find the velocity of projection. Assume that the particle undergoes a...
46. ### Inclined Planes; Finding Force of Friction

Homework Statement A 275 N box is sliding down a frictionless inclined plane. If the incline makes an angle of 30.0 degrees with the horizontal, what is the acceleration along the incline? I don't need to know how to figure out the solution to this problem - yet, atleast. Im trying to...
47. ### Newtonian mechanics and inclined planes

hi, i am interested in finding a website which has lots of questions (and solutions) on Newtonian mechanics to test my knowledge. things i had in mind include applications of F=ma,inclined planes, tension on ropes,springs etc. thanks
48. ### The Normal Force and Inclined Planes

Homework Statement A woman pushes her 150kg motorcycle up a slope of 5 degrees with a constant speed of 2 m/s. She achieves this by exerting a force on the bike of 450N parallel to the slope. What is the magnitude of the frictional force acting on the bike? Homework Equations a=...
49. ### Inclined planes, mass' effect on final velocity

Okay, so I've been working on an extended practical investigation. And I am a little stuck. Heres a brief overview: Using a ramp(always at the same angle to the horizontal), and a truck and a stopwatch, I've timed the amount of time it takes for the truck to reach the bottom of the ramp, with...
50. ### Normal force on inclined planes.

If a car is going up or down an inclined plane, the normal force on the car is just mg cos (theta). However, if a car is turning on an inclined curve, the normal force is mg/cos(theta). Why are the two normal forces not the same? To clarify, here is an example problem: A highway curve...