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. S

    Projectile motion on an inclined plane

    Homework Statement A projectile is fired up an incline (incline angle ϕ) with an initial speed vi at an angle θi with respect to the horizontal. Homework Equations For what value of θi is d a maximum, and what is that maximum value? (Use v_i for vi, phi for ϕ, and g as appropriate. ϕ...
  2. H

    Find μk between the block and the inclined plane?

    A block accelerates 3.5 m/s2 down a plane inclined at angle 27.0◦. The acceleration of gravity is 9.81 m/s2 . Find μk between the block and the inclined plane. I am completely lost. How can I find the μk if I do not know the mass of the block?
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    Two Blocks with rope and Pulley on Inclined Plane

    Homework Statement This is a problem that I am trying to help my friend with. I understand how to solve this problem the traditional way by rotating the axes of the block on the inclined plane, but then my friend asked me to show him how the answer is the same with non-rotated axes. There...
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    How Far Up the Incline Does the Object Travel Before Sliding Back Down?

    Homework Statement A spring with k = 40.0 N/m is at the base of a frictionless 30.0° inclined plane. A 0.50 kg object is pressed against the spring, compressing it 0.4 m from its equilibrium position. The object is then released. If the object is not attached to the spring, how far up the...
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    Mass on Inclined Plane with Friction

    A block of mass M = 2.5 kg is released from rest and slides down an incline that makes an angle q = 31° with the horizontal. The coefficient of kinetic friction between the block and the incline is µk = 0.2. a) What is the acceleration of the block down the inclined plane? I got a = 3.37 The...
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    Inclined Plane Problem Two Parts

    Homework Statement The block shown in Fig. 4-48 lies on a smooth plane tilted at an angle θ = 24.5° to the horizontal. Ignore friction. http://www.webassign.net/giancoli5/4_48.gif (visit this site for picture) (a) Determine the acceleration of the block as it slides down the plane...
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    Partial Drivative- Inclined Plane Problem

    Homework Statement A ping pong ball is projected (with velocity v)from a foot of an inclined plane with an inclination of \beta . The initial velocity of projection makes an angle \alpha with the surface of th incline. Find the relation beteen \alpha and \beta such that the range is maximum...
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    Centrepetal Force & Inclined Plane

    Homework Statement I Have two questions one of them i just can't start it, I don't understand what it is I'm supposed to set up or how. A Block is shoved up a 22 degree slope with an initial velocity of 1.4 m/s the coefficient of friction is .70 how far up the slope will the block make it...
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    Using Normal Force on inclined plane vs banked curve

    On an inclined plane, "\SigmaFy = N - mg cos ø = ma = 0". And "\SigmaFx = mg sin ø = ma" (frictionless). So, in the y direction, "N = mg cos ø". But on a banked curve, "\SigmaFy = N cos ø - mg = ma= 0". And "\SigmaFx = N sin ø = ma = mv²/r" (frictionless). So, in the y direction, "N cos...
  10. R

    Inclined Plane Inside an Elevator

    Homework Statement An inclined plane, fixed to the inside of an elevator, makes a 25 angle with the floor. A mass m slides on the plane without friction. What is the acceleration relative to the block if the elevator is a)accelerating upwards .35g b)accelerating downwards .35g? c)constant...
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    Projectile Motion of ball down inclined plane

    Homework Statement someone standing on a down-tilting inclined plane making an angle of 30 degrees with the horizontal throws a ball with a horizontal velocity of 10m/s, how far down the plane will the ball strike ground Homework Equations The Attempt at a SolutionI was just...
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    Projectile motion on an inclined plane

    Homework Statement A projectile is fired from the origin down an inclined plane that makes an angle theta with the horizontal. The projectile is launched at an angle alpha to the horizontal with an initial velocity v. Show that the angle of elevation alpha that will maximise the the...
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    Block on a moving inclined plane

    Homework Statement A block of mass M is on a plane with an incline of Theta. What horizontal force must the ramp be pushed so that the block does not move relative to the ramp. This is to be solved generally. Homework Equations Force of gravity on block: m*g*sin(theta) Normal force...
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    Frictional and Tensional Forces on an Inclined Plane

    Let me start by stating that this is not a homework question. If I just wanted the answer, it is in the back of my book. What I do need is some understanding of how the answer was reached. Problem: Two blocks attached by a string slide down a 10degree incline. Block 1 has a mass m1 = 0.80 kg...
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    Inclined plane and normal reaction force

    A block of mass M slides down a frictionless plane inclined at an angle è with the horizontal. The normal reaction force exerted by the plane on the block is a Mg. b Mg sin è. c Mg cos è. d zero, since the plane is frictionless Homework Equations Fn=mg cos è The...
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    Coefficient of Friction on an Inclined Plane

    The problem states: An 800N box rest on a surface inclined 30 degrees. If a force 200N parallel to the surface is applied, the box will not slide down the incline. Whats the greatest force that can be applied to the box before it starts sliding up the incline?? I know Fnorm=mg*cos theta...
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    Finding the Magnitude of a Horizontal Force on a Frictionless Inclined Plane

    Homework Statement A 50 kg block on a frictionless inclined plane experiences a horizontal force. The plane is inclined at 30 degrees. a- If the block moves up the ramp with a constant velocity, find the magintude of 'F'. b- Suppose the block accelerates up the ramp at 0.5 m/s^2. Find...
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    Riding a motorcycle on inclined plane

    Homework Statement A motorcycle and a 60.0 kg rider accelerate at 3.0 m/s^2 up a ramp inclined 10 degrees above the horizontal. What is the magnitude of the force on the rider from the motorcycle? Homework Equations F=ma The Attempt at a Solution I'm not quite sure which forces...
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    Bob's Acceleration and Angle with the Vertical on an Inclined Plane

    Homework Statement A bob suspended from a frame settles into a steady position relative to the frame as the frame slides down an inclined plane. What angle does the bob make with the during the slide? Here is the illustration from the book...
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    Block moving down an inclined plane, spring problem.

    Homework Statement Find the amount which the spring is compressed after the mass comes to rest. Assume a kinetic coefficient of friction of 0.11 and an initial velocity along the surface of v = 4m/s. Given values : mass = 2.2kg k = 500 N/m delta = 0.036m theta = 23 degrees The...
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    Kinetic friction, pulley, inclined plane

    Homework Statement blocks 1 and 2 of masses m1 and m2 respectively, are connected by a light string. these blocks are further connected to a block of mass M by another light string that passes over a pulley of negligible mass and friction. blocks 1 and 2 move with constant velocity v down...
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    Calculating Time for a Ball Rolling Down an Inclined Plane

    Q: A ball is at rest on an inclined plane. It begins to roll down with an acceleration of 2 m/s^2. How long does it take the ball to roll 50 m? This is my work: find time using, s = ut + 1/2 a t^2 t = sqrt(2s/a) Plug in the s = 50 and a = 2 Am I right? Thanks a lot.
  23. R

    Find the force on an object on an inclined plane

    Homework Statement A body is projected up an inclined plane with a speed Vo. The inclination of the incline is \theta. The surface of th incline is a tangent to a circle of radius R. Find the force acting on th object when it is at the top of the sphere provied that Vo= 2*the minimum...
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    What is the Maximum Mass M That Can Be Balanced on Two Wedges Without Slipping?

    Homework Statement There are two wedges, each with mass m, placed on a flat floor. A cube of mass M is balanced on the wedges. Assume there is no friction between wedge and block, and the coefficient of static friction is less than 1 between the floor and wedges. What is the largest M that...
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    Friction on an inclined plane (freebody diag. included)

    Homework Statement what is the max angle the plane can be at so that the crate stays at rest. static friction coefficient: 0.60 mass of crate: 10kg max angle of plane: ?my free body diagram http://img.photobucket.com/albums/v217/tylerc13/physprob.jpg my approach: I set it up...
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    How do I calculate the work done on a box pushed up an inclined plane?

    Edit: I'll fix the symbols once I figure out how to do them properly. Sorry about that. Is there a tutorial ob how to use the math symbols? I can't find one anywhere. Homework Statement A man pushes a box up an inclined plane making an angle of 30 degrees with the horizontal. The...
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    Finding Weight on Inclined Plane

    EDIT: I think I just figured it out...could you check out the picture I added and see if my reasoning is right? Thanks! http://img141.imageshack.us/img141/618/20080716103213jm3.png ------------ I'm working on free-body diagrams and I'm having trouble finding the components of the...
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    Ant Aunts & Uncles: Solving a Physics Problem on an Inclined Plane

    Homework Statement A box of ant aunts (total mass m1 = 2.11 kg) and a box of ant uncles (total mass m2 = 3.88 kg) slide down an inclined plane while attached by a massless rod parallel to the plane. The angle of incline is θ = 29°. The coefficient of kinetic friction between the aunt box and...
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    Help on inclined plane and air resistance.

    Homework Statement Hey, As an end of the year easy grade, our physics teacher assigned us a 20 point project in where we design a lab and analyze the data in a power point. I chose to use an inclined plane and a roller cart. My idea was to analyze the effect of a sail (thus creating air...
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    Normal Force on an Inclined Plane: Does it Depend on the Coordinate System?

    I am a new user so if I am violating any rules I apologize If we have a mass on an inclined plane , Does the Normal force depend on Coordinate used. i.e coordinate system along rod( tilted one) and coordinate system in the regular way I know the answer is " NO" but I get N=...
  31. D

    Motion of Block Down an Inclined Plane with Friction

    http://img297.imageshack.us/img297/1518/88977091un0.gif I managed to derive a solution, however, it doesn't seem to give me the correct answer. Here is what i did: I first defined my positive x-axis to go down the slope and my positive y-axis to be upward and normal to the slope. The...
  32. D

    Inclined Plane with block of mass

    [SOLVED] Inclined Plane A block of mass m sits on an inclined plane. The coefficient of kinetic friction is known. If the tension in the rope is T, and at the instant shown the block is moving down the slope, what is the blocks acceleration up the slope...
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    About ideal mechanical advantage for an inclined plane

    the formula for the IMA for an inclined plane is 1/sin(theta)...right? But what if the angle was zero (which would mean it is not an inclined plane), then you wouldn't be able to divide by zero...so how would you get the IMA if the angle was zero? I am very very confused about this...any help...
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    Coefficient of friction on an inclined plane

    [SOLVED] Coefficient of friction on an inclined plane Homework Statement The problem I have is to determine the coefficient of kinetic friction between two wooden objects, a block and a ramp, using the fewest measurements possible. The initial velocity will be 0. I can measure the angle of...
  35. R

    Velocity of a rolling body down an inclined plane

    Can anyone tell me the formula of calculating the velocity of a rolling body down an inclined plane?Please state the quantities as well.
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    Motion in 2 Dimensions - Inclined Plane Pulleys

    Homework Statement a Mess of 5kg is being hauled up a smooth invlined place at 30 degree to the horizontal with an acceleration of 1.5ms^-2 by mean of a string parallel to the incline: a) What is tension in the string Homework Equations Fnet= ma Rules of right angled triangles (SOC CAH...
  37. C

    Torque and Inertia of objects on Inclined plane

    Homework Statement a block with mass m1= 2 kg, and a block of mass m2 = 6kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = .25m and mass M = 10 kg. These blocks are allowed to move on a fixed wedge of angle pheta = 30 degrees. the coefficent of...
  38. S

    Ball rolls of an edge and lands on and inclined plane

    Homework Statement http://img229.imageshack.us/img229/7987/scanik8.jpg the ball rolls at a constant speed, fast enough to travel straight off the ledge and eventually lands on the inclined plane. The task is to derive an equation for d as a function of v (the initial horizontal speed of the...
  39. C

    Object Traveling Up an Inclined Plane

    [SOLVED] Object Traveling Up an Inclined Plane Homework Statement In a circus performance, a monkey is strapped to a sled and both are given an initial speed of 2.0 m/s up a 19.0° inclined track. The combined mass of monkey and sled is 16 kg, and the coefficient of kinetic friction between...
  40. D

    Inclined plane and force of friction

    Homework Statement I am having some difficulties finding out the force of friction for an inclined plane. If we know the mass of the object, the angle of the inclined plane, and the acceleration, how to we find Ff? I know how to draw the diagrams, but I can't seem to find what force of...
  41. N

    Cylinder on inclined plane

    Homework Statement A block of a certain material begins to slide on an inclined plane when the plane is inclined to an angle of 11.86o. If a solid cyclinder is fashioned from the same material, what will be the maximum angle at which it will roll without slipping on the plane (in degrees)...
  42. I

    Ball rolling down an inclined plane

    I have this math problem for school that I need help with A ball is rolling down an inclined plane. The equation I have is y = .165x^2 + .997x + .845 where y is the distance traveled and x is the time taken I want to predict the distance it has rolled in 2 days, which I can do but what...
  43. O

    What Are the Mechanical Advantages and Efficiencies in an Inclined Plane System?

    Homework Statement a 1meter board is inclined at 10 degrees with a height of .3 meters. a block with mass of 122.5g is placed at the bottom connected to a string which is connected to a pulley at the top. if a weight of 50g is hung from the pulley and the block moves with constant velocity...
  44. C

    How Long Will It Take for the Train to Stop Moving Up the Track?

    Homework Statement Question: An engine is used to pull a train of two cars out of a mine. The floor slopes upward at an angle of 22 degrees. Each car has a mass of 1.1x10^4 Kg and normally travels without friction on the tracks. The engine can exert a maximum force of 1.6x10^5 N on car A. If...
  45. E

    Magnetic torque on sphere on inclined plane

    [SOLVED] Magnetic torque on sphere on inclined plane Homework Statement a nonconducting sphere has mass 80 g and radius 20 cm. a flat, compact coil of wire with 5 turns is wrapped tightly around it, with each turn concentric with the sphere. the sphere is placed on an inclined plane that...
  46. S

    Static Friction on an Inclined Plane: Force = mgsin30

    A block of mass m is at rest on an inclined plane that makes an angle of 30º with the horizontal, as shown in the figure. Which of the following statements about the force of static friction is true? A) fs > mg D)fs = mg sin 30º B) fs > mg cos 30º E) None of these statements is true. C) fs...
  47. Z

    Deriving Speed at an Inclined Plane

    Homework Statement A block slides down a frictionless plane having an inclination of = 12.2° (Fig P5.22). The block starts from rest at the top and the length of the incline is 2.85 m. Homework Equations F=ma xf=xi+vit+1/2at^2 The Attempt at a Solution i tried to solve this by...
  48. N

    Calculating Distance on an Inclined Plane with Friction

    [SOLVED] inclined plane problem Homework Statement A 3.4kg bundle starts up a 30o incline with 198J of kinetic energy. How far will it slide up the plane if the coefficient of friction is 0.26? Homework Equations Work(total)=.5mv(final)^2 - .5mv(initial)^2 The Attempt at a...
  49. M

    Understanding Vector Components: Explaining an Inclined Plane Physics Question

    So I was watching some of those physics videos posted in schoolwork board, and although he probably didn't make an error here, I don't think I understand it. Here's the pictues. I'll elaborate after it so you guys know what I'm talking about...
  50. I

    Rotational Motion (Inclined Plane)

    [SOLVED] Rotational Motion (Inclined Plane) Hi Everyone! My question is: A solid cylinder and a solid sphere are resting on top of a inclined plane. Using mathematics, which object would reach the ground first. Given: I (cylinder) = 1/2mr ^2 and I (sphere) = 2/5 mr ^2. I know that the...
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