What is Inclined plane: Definition and 820 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

    Classical block on inclined plane

    Homework Statement A block at t=0 is at the bottom of the plane and is projected up an inclined plane with initial speed v0. The plane's acute angle is θ above the horizontal, and the coefficient of friction is μ between the block and plane. Find the time (t) and velocity (v1) of the...
  2. T

    Component resolution of g on an inclined plane

    Homework Statement Hi, I just had a quick conceptual question. I understand that if I have an object moving down a ramp, it is being accelerated only by gravity. My question is this: We should be able to experimentally calculate g if we measure the acceleration down the ramp. Then we can...
  3. S

    Mechanics - inclined plane with friction and finding max M

    Homework Statement A block with mass M is on an inclined plane having an angle of \theta with respect to the horizontal. The coefficient of friction is \mu. Find the maximum mass that the block can have before sliding down. Homework Equations \mu_{s}= tan(\theta) - I derived this and tried to...
  4. F

    Particle on an inclined plane formula proof.

    Homework Statement A force of magnitude F acting up and along a smooth inclined plane, can support a mass M in equilibrium. If a force of the same magnitude acts horizontally, it can support a mass m on the same inclined plane in equilibrium. Find a relationship between F, M and m which is...
  5. C

    Rolling objects inclined plane?

    It seems that I could have a solid cylinder roll down faster than a solid sphere if the center of the solid cylinder had a very dense material and then a less dense material towards the outside.
  6. W

    Maximum perpendicular height above an inclined plane

    Homework Statement A particle is projected from a point o with initial velocity u up a plane inclined at an angle 60° to the horizontal. The direction of projection makes an angle ∅ with the horizontal. The maximum perpendicular height is H. prove that H = u^2( sin^2(∅) ) / g Homework...
  7. W

    Projectiles On An Inclined Plane

    Homework Statement A particle is projected with initial speed u at an angle tan-inverse(1/2) to an inclined plane. The plane contains the point of projection and makes an angle tan-inverse(3/4) with the horizontal. Show that the angle at which the particle strikes the plane is tan-inverse(2)...
  8. D

    Calculating work on an inclined plane

    A luggage handler pulls a 20.0- kg suitcase up a ramp inclined at 25°above the horizontal by a force of magnitude 140 N that acts parallel to the ramp. The coefficient of kinetic friction between the ramp and the incline is If the suit-case travels 3.80 m along the ramp, calculate (a) the work...
  9. S

    Problem with spring + inclined plane + conversation of energy etc

    Homework Statement A ball (considered as a point) of mass m = 1.5kg is launched from a spring with a Δx= 5cm. Find the elastic constant K knowing that the ball is forced to travel the path ABC and that at point C its speed is zero. AB has no friction while BC has a friction μk=0.05. At point C...
  10. F

    Work done by gavity on an inclined plane

    A 30-N box is pulled 6.0 m up along a 37 °inclined plane. What is the work done by the weight (gravitational force) of the box? Ok so attempt goes like this: W = FDCOS(37) So force weight parallel to the plane is 30sin37 = 18.05N " perppendicular " 30cos37=...
  11. C

    Inclined plane forces problem

    A 2.0kg wood block is launched up a wooden ramp that is inclined at a 32 degree angle Initial speed of the block is 8 m/s and the coefficient of kinetic friction is 0.2. a) what height does the block reach above its starting point? b) What speed does it have when it slides back down to...
  12. K

    IMPACT FORCE of a ball in an inclined plane

    [b]1. What would be the effect on the impact force of a lower or higher release point of a metal ball in an inclined plane. [b]2. I don't know what to do here.. or how to answer. My teacher told us to include formulas to prove our answers.
  13. W

    Direct collisions on an inclined plane

    Homework Statement A smooth sphere falls vertically and strikes a fixed smooth plane inclined at an angle of ∅ to the horizontal.If the coefficient of restitution is (2/3) and the sphere rebounds horizontally, Its speed before impact is u and after impact v calculate the fraction of kinetic...
  14. G

    Pulley on inclined plane problem

    Q:Two blocks are tied together on an incline The first box is on a 30 degree incline with he horizontal and is 1 KG, the wire from it runs over a pulley that goes to a mass of 2KG . If both the pulley and the incline are frictionless: a) What is the acceleration of the 1.0 kg block up the...
  15. A

    Solid pulley & mass on an inclined plane

    Homework Statement See the image. Homework Equations T=Iα, F=ma, I=0.5*m*r^2, Friction=u*N The Attempt at a Solution I used the torque equation to get Tension = mcylinder*a/2, and then plugged that into a force equation for the block. mblockgsin(30)-Tension-Friction=mblock*a so...
  16. A

    Can the Radius of a Disk Affect the Inclined Plane Experiment Results?

    Hi there I was wondering if someone can help me on this attachment I am stuck on question 1.3 and 1.4. This was an experiment to see relationship between sin and gradient I have confidently completed the first two questions but it is the last two questions which are troubling with I am finding...
  17. B

    What are the equations for projectile motion on an inclined plane?

    Homework Statement A particle of mass m is projected with velocity of magnitude u at an angle of θ, measured anticlockwise from the line parallel to the plane, from a point (sx,0,sy,0) on a plane inclined at an angle of α measured anticlockwise from the line parallel to the ground. The...
  18. H

    Displacement of box on inclined plane due to spring

    Homework Statement A frictionless, incline plane at 20 degrees has a spring with force constant k=500N/m attached to the bottom, parallel to the inclined plane. A block of mass m=2.5kg is placed on the plane at a distance d =3m from the spring. From this position the block is projected...
  19. D

    Work Done/Power/Efficiency on an inclined plane

    Homework Statement A toy car of mass 20kg is pushed up the entirety of a 35m slope, inclined at an angle of arcsin(2/7) to the horizontal. The height at the top of the slope is 10m. The applied force which pushes the car up the slope is 100N, initially, the toy car is stationary...
  20. P

    Solving for distance with frictionless inclined plane

    A physics student shoves a 0.5 kg block from the bottom of a frictionless 30 degree plane. The student performs 4 joules of work and the block slides a distance "s" along the inclined pane before it stops. Find the value of s W = (F * Cosθ) * D I plugged in 4 joules for work, multiplied .5 kg by...
  21. D

    Work done down an inclined plane

    Homework Statement A toy car of mass 20kg moves down a slope of length 35m, which is inclined at arcsin(2/7) to the horizontal. The height of the car initially is 10m, and a constant frictional force of 100N acts against the car through motion. Calculate the work done, power and efficiency of...
  22. AakashPandita

    Confusion regarding direction of kinetic friction on inclined plane.

    please help! The formula for kinetic friction acting on a sliding body is μkN When the body is sliding with constant velocity down an inclined plane fk=μkN When the body is sliding up the inclined plane(say due to a force acting parallel to the inclined plane) with constant velocity...
  23. V

    Inclined plane with friction and external force

    Homework Statement A block weighing 70.0 N rests on a plane inclined at 25.0° to the horizontal. A force F is applied to the object at 50.0° to the horizontal, pushing it upward on the plane. The coefficients of static and kinetic friction between the block and the plane are, respectively...
  24. I

    Inclined plane (A ball rolling down a slope)

    Homework Statement The mass of the ball: 136 G Length of the slope that its sliding down: 132 Cm Angle of the slope that its sliding down: 11,5228 ° All I have to do, is to find the velocity, and the acceleration of the ball. Though my teacher has given us no time at all for this project...
  25. 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...
  26. 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...
  27. 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...
  28. 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...
  29. 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...
  30. 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...
  31. X

    Inclined plane and velocity

    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...
  32. 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...
  33. 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...
  34. 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...
  35. 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...
  36. 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...
  37. 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...
  38. 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...
  39. 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...
  40. 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...
  41. 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...
  42. 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...
  43. 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...
  44. 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...
  45. 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...
  46. 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...
  47. 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...
  48. 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...
  49. 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...
  50. 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...
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