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. C

    Physics - Inclined Plane - Experimental Investigation

    Homework Statement A wooden box is at rest on a ramp inclined at an angle Ө to the horizontal. W is the weight of the box and its contents. A frictional force prevents the box sliding down the ramp. A reaction force acts on the box perpendicular to the inclined plane. The inclined plane is...
  2. N

    Solving an Inclined Plane Problem: Help for Neil

    Hello, My name is Neil I'm a high school senior in AP Physics C, I'm still taking Pre-Calculus (I know my counselors aren't the brightest) and I'm having trouble with this problem. Homework Statement Find the acceleration of the block down the plane. I have a picture with a block on an...
  3. M

    Normal Force of a hoop rolling down an inclined plane.

    Homework Statement I have a question from my homework. My homework is completed, but I've been running some thought experiments lately and I wish to conceptually discuss this. The problem has to do with a hoop rolling down an inclined plane. I had to find the Normal Force using...
  4. O

    The figure below shows an object on an inclined

    Homework Statement The figure below shows an object on an inclined ramp of mass 1.30 kg. The angle of the inclined surface is 25° with the horizontal. The object on the ramp is connected to a second object of mass 2.98 kg on a horizontal surface below an overhang that is formed by the...
  5. D

    Pressure in a closed system using an inclined manometer

    Homework Statement In the figure attached the pressure at A and B are the same 100 kPa. If water is introduced at A to increase p_A to 130 kPa find the new positions of the mercury menisci. The connecting tube has a diameter of 10 mm. Assume no change in Liquid density. Homework...
  6. T

    Mechanics inclined plane question

    Homework Statement A small object of mass m is given an initial velocity u at point A. Just after it passes B the reaction force between the object and the surface drops at half the previous value. If the coefficient of friction between the object and the surface is μ=0.3, find the initial...
  7. WannabeNewton

    Board on top of two cylinders - inclined plane

    Homework Statement See image: http://s18.postimage.org/6ql2zlo2x/board_n_cylinders.png The Attempt at a Solution I know it says conservation of energy but I just wanted to do it in terms of torque and forces first. The reason I'm not sure about my answer is because I barely had to use more...
  8. S

    Current Carrying Rod On Inclined Plane.

    A conductingng bar of mass 1. w kg and length l = 1. x m is placed at rest on a frictionlsss plane inclined at an angle θ = 2 y degrees to the horizontal. A current I= 4 A flows through the bar in the − ˆj direction, and there is a uniform magnetic field B = 1 T in the kˆ direction. (a) What...
  9. X

    How Does Mass Affect the Time It Takes Objects to Slide Down an Inclined Plane?

    Homework Statement If the incline plane is 10 m long, and it is elevated at an angle of 30 degrees: If a 5kg object takes t1 seconds to go down the ramp and a 10kg object takes t2 seconds to go down the ramp... What is the relationship between t1 and t2? Homework Equations F = ma Fx of...
  10. J

    Statics, bike on inclined plane

    Homework Statement I´ll need an image to show the problem: A bike with length L is on an inclined plane, the distance between the center of gravity and center wheel centers A,B is L/2. Brakes are acting on the wheels so we have a static position. In the picture is possible to...
  11. N

    Mass on Bridge, Find Force of Friction when bridge is barely inclined

    Look at the picture attached. There is a mass on a drawbridge, which is inclined at half a meter. We have the Normal force, the coefficient of static friction, force of gravity and the force of friction pushing the mass upwards to the end of the draw bridge that is most inclined. We also have...
  12. R

    Inclined plane: heavy and light ball

    A light ball and another heavy ball is alowed to roll on an inclined plane. which ball travel the farthest after the inclination.? my teacher and friends argue giving difffrent points like energy,inertia...etc and reach in different conclusions. which really will travel farther if we...
  13. F

    Quick Question Regarding Smooth Inclined Plan

    Homework Statement an block of mass 6kg is sliding down an inclined plane inclined at 45° to the horizontal. Find the acceleration of the mass. Homework Equations F=ma The Attempt at a Solution Is it correct that the weight times sin45 will equal ma, because that's how i first did...
  14. I

    Find the mass of m1 on an inclined pulley system

    Homework Statement Two masses ##m_1## and ##m_2## are connected by a massless cord and a pulley, on a rough ramp, tilted at angle ∅ The pulley is massless and frictionless. The coefficient of kinetic friction between the ramp and m1 is ##μ_k.## Derive an expression for ##m_1,## given that...
  15. F

    Rough Inclined Plane - Find Coefficient of friction

    Homework Statement a block of mass 2kg is in at rest on a rough plane inclined at 30°, it is in limiting equilibrium with with a force of 20N applied horizontally (to the ground). Find the coefficient of static friction between the block and the plane.The Attempt at a Solution...
  16. H

    Coefficient of static friction on an inclined plane

    Homework Statement A dump truck loaded with rock has a coefficient of static friction of 0.4, and a coefficient of kinetic friction of 0.2 between the rock and steel tray. If the truck tilts its bed to 25°, calculate the coefficient of static friction on the load. Hence calculate the angle...
  17. A

    Acceleration on Inclined Plane and Pulley System

    Homework Statement I believe that I have my answer. I would appreciate it if someone could check my work. m1 = 33 kg m2 = 14 kg μ = 0.19 Angle is given by 5,12,23 triangle shown in figure. Assume pulleys are massless. What is the acceleration of mass m2 on the incline plane...
  18. K

    Is my statics approach correct for pushing a 1000lb cart up an inclined slope?

    Hey guys, I am trying to figure out which motor to order for a side project of mine. I am trying to push a 1000 pound cart up a 10 degree incline. The cart has four elastomer wheels, and may possible encounter carpeted surfaces. I'm not quite sure what to expect in regards to a coefficient of...
  19. B

    Momentum on an Inclined Plane: Understanding Conservation and Directionality

    Homework Statement A small block with mass m is sitting on a large block of mass M that is sloped so that the small block can slide down the larger block. There is no friction and no drag force. The center of mass of the smal block is located a height H above where it would be if it were...
  20. Ackbach

    MHB Useful Derivation for Labs Involving Rolling Balls Down an Inclined Plane

    Problem: In beginning mechanics physics labs, it is very often the case that you get large experimental error. This can be due to a number of factors, friction, of course, being a major player. However, it can also be the case that you might be comparing apples to oranges. For example, if you're...
  21. S

    Static & Kinetic Friction + An Applied Force on an Inclined Ramp

    Homework Statement A box with a mass of 22 kg is at rest on a ramp inclined at 45 degrees to the horizontal. The coefficients of friction between the box and the ramp are μs = 0.78 and μk = 0.65 a) Determine magnitude of the largest force that can be applied upward, parallel to the ramp...
  22. B

    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. D

    MHB Understanding Newton's 2nd Law for a Ball Thrown Up an Inclined Plane

    I haven't taken a physics course in years so I am little lost. A ball is thrown with initial speed $v_0$ up an inclined plane. The plane is inclined at an angle $\phi$ above the horizontal, and the ball's initial velocity is at an angle $\theta$ above the plane. Choose axes with $x$ measured...
  24. Z

    Two boxes sliding down inclined plane

    Homework Statement A block with m=20kg is sliding on top of a block of M=10 kg that is sliding down an inclined plane with 30 degrees to the horizontal. All surfaces are frictionless. Calculate the acceleration of the blocks.Homework Equations Newtons second law: F⃗ net=ΣF⃗ =ma⃗ The Attempt...
  25. L

    Car sliding down inclined plane.

    A driver traveling down a 4.6 degree incline slams on his breaks, coming to rest 30m later. If the coeficient of kinetic friction between the tires and the road were 0.45, how fast was he initially traveling? The only way I can think of solving this problem is to differentiate distance to get...
  26. WannabeNewton

    What is the Acceleration of an Inclined Plane due to Recoiling Block?

    Homework Statement A block of mass m is on an inclined plane of mass M, inclined at angle θ, and slides on the plane without friction. Find the acceleration of the plane. The Attempt at a Solution I am using the usual cartesian coordinate system with no rotations and letting up and forward be...
  27. A

    Determining Current Magnitude & Direction for Stationary Bar on Inclined Plane

    Homework Statement A conducting bar of length is placed on a frictionless inclined plane which is tilted at an angle θ from the horizontal, as shown in annexed figure. A uniform magnetic field is applied in the vertical direction. To prevent the bar from sliding down, a voltage source is...
  28. P

    Force in the inclined bar with the weight on one side.

    Hello, I have a confusing question, please help. Suppose I have a structure like on the figure: . I want to find force acting along the bar, for example to find critical stresses. My brain thinks in two ways: 1. I can distribute P in the application point as Fb=P*sin(90-al); 2. I can...
  29. PhizKid

    How Far Does a Block Travel Up an Incline Before Stopping?

    Homework Statement A block of unknown mass is sent up an incline plane of 30 degrees with an initial velocity of 3 m/s. The coefficient of friction is 0.5. Find the distance the block travels up the incline before it stops. Homework Equations F = ma v^2 = (v_0)^2 + 2a(x - x_0) The...
  30. V

    Inelastic Collision on an inclined plane

    Okay so my physics teacher assigned us with some problems to complete and one of them in particular is really confusing me. Attached is a picture of the problem. It just really throws me off when we have to keep it in variable form. So if someone can just walk me through it a little it would be...
  31. D

    Can someone help me to design a boat inclined lift ?

    I'm clueless how to start!. Here is the description: A canal operating company is proposing to build an inclined plane to lift boats between two points with a vertical height difference of 55m. Currently the boats have to travel a distance of 6km through 19 canal locks to achieve the same...
  32. S

    An inclined plane, a pulley, and three masses

    Homework Statement A system comprising blocks, a light frictionless pulley, a frictionless incline, and connecting ropes is shown. The 9 kg block accelerates downward when the system is released from rest. The acceleration of the system is closest to: A.) 1.9 m/s^2 B.) 2.1 m/s^2 C.) 1.7 m/s^2...
  33. Astrum

    Work of an Object moving down Inclined Plane

    Homework Statement Experiment set up. A 208g weight is attached via a pulley system to a block on an inclined plane. What is the work done by the suspended mass as the car is lowering at a constant velocity? And work done by gravity? Distance weight moves down - 24.7cm Incline is 30...
  34. C

    Lagrangian problem of a cylinder on inclined plane.

    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...
  35. C

    Force to push mass down inclined plane

    Homework Statement The angle of the ramp is 30 degrees. The mass is 40 kg. What force must be applied to keep the mass sliding down the ramp at constant velocity. The ramp is frictionless* Homework Equations I have missed the past few lessons in class, so I'm not sure. I do have a bunch of...
  36. T

    Galileo, inclined plane and geometry.

    Homework Statement Galileo in seeking to discover the laws governing the motion of bodies under the action of their weight, conducted a series of experiments on inclined planes. Choosing as unit of length the distance traveled by the ball the first unit of time, measuring at subsequent time...
  37. N

    Inertia block on inclined surface problem? help with solution?

    A wheel of radius 0.20 m is mounted on a frictionless horizontal axis. A massless cord wrapped around the wheel is attaches to a 2.0 kg block that slides on a horizontal frictionless surface inclined at angle θ = 20 degrees with the horizontal. The box accelerates down the surface at 2.0...
  38. G

    Inclined plane force components and the acceleration problem

    Homework Statement There is no variable for it but we know the angel σ, g, the mass of m1 and m2, m2>m1 and the coordinate system must be considered like that. I know the other method which the coordinate system is parallel to the inclined plane's hypotenuse. Homework Equations F=m*a...
  39. B

    Calculating acceleration on an inclined plane (with friction)

    Homework Statement A 38kg block is on a slope that is 50 degrees above the horizon. The box is attached to a 9kg weight that rests on a flat surface (connected to the top of the slope). The coefficient of friction for both surfaces is 0.12. Calculate the acceleration of the system...
  40. L

    What is the Acceleration and Tension in an Inclined Pulley System?

    Homework Statement please take a look at the picture m1= 4kg m2= 5kg angle is 30 degrees (surfaces are frictionless) find the acceleration and the tension what are the formulas used for solving this?
  41. L

    Solving Inclined Pully Table: Acceleration & Tension

    Homework Statement block1 2kg block2 2.5kg coefficient of static friction =.5 coefficient of kinetic friction= .3A)how can you find the acceleration and tension? which coefficient do you use?
  42. matqkks

    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?
  43. P

    Dynamics. Inclined plane with friction coefficient

    I've got the following exercise, which I've done 3 times already and I think I haven't made any mistake: A body is slid upwards through an inclined plane of angle \theta=15\degree. Determine the friction coefficient of the body with the surface of the plane if the time it takes to go upwards t_a...
  44. T

    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...
  45. M

    How Do Forces and Motion Interact on an Inclined Plane with a Sliding Ramp?

    1.A block of mass 10 kg is resting on a frictionless ramp. The ramp is free to slide on a horizontal, frictionless table and has a mass of 40 kg. The angle of the ramp is 37 degrees. A. Draw a free body diagram for the block and for the ramp. Clearly labeling all forces. Write down the...
  46. C

    Frictionless inclined plane problem

    Homework Statement A 2.5 kg block is placed on a movable 40° ramp weighing 120 N. The friction coefficients between the ramp and the block are μk = 0.15 and μs = 0.35. With what force does the ramp need to be pushed to keep the block a) sliding at a constant speed up the ramp b)...
  47. D

    Inclined Plane Problem with change of COM

    Homework Statement A block of mass 10kg moves along a surface inclined 30° to the horizontal. The centre of gravity of the block is elevated by 3m and the kinetic energy of the block decreases by 50J. The block is acted upon by a constant force Rparallel to the incline and by the force of...
  48. O

    Solve Work on Inclined Plane for m1, a, h, m2, uk

    Homework Statement A block of mass m1 is placed on an inclined plane with slope angle a and is connected to a second hanging block of mass m2 by a cord passing over a small frictionless pulley the coefficient of kinetic friction is uk the system is released from rest with block m2 dropping a...
  49. F

    How Do You Calculate the Coefficient of Kinetic Friction on an Inclined Plane?

    Homework Statement A 3.6 kg block slides down an inclined plane that makes an angle of 27 ◦ with the horizontal. Starting from rest, the block slides a distance of 2.4 m in 6.2 s. The acceleration of gravity is 9.81 m/s 2 . Find the coefficient of kinetic friction between the block and...
  50. E

    Coefficient of static friction on an inclined plane

    Homework Statement A crate, mass = 275 kg, sits at rest on a surface that is inclined at 20.0° above the horizontal. A horizontal force (parallel to the ground), F = 583 N is required to just start the crate moving down the incline. 2. The attempt at a solution U = (((mg sin (∅)) +...
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