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. J

    Which sphere reaches the bottom of the inclined plane first

    Homework Statement Two spheres are placed side by side on an inclined plane and released at the same time. Both spheres roll down the inclined plane without slipping. (a) Using FBD, explain what force provides the torque allowing the sphere to roll down the inclined plane. (b) Which sphere...
  2. V

    Vector addition and the force applied to the shaft of the pulley

    Homework Statement Hello, I am currently studying mathematics and physics on my own, and I ran into a type of problem in physics that is a bit unclear to me. Say we have pulley at the top of an inclined plane with a base angle of alpha and the top angle is alpha. Homework Equations I assume...
  3. V

    Inelastic collision with an inclined plane

    Homework Statement A particle is thrown upward with speed 10√3 m/sec. It strikes an inclined surface. Collision between the particle and inclined plane is perfectly inelastic. What will be the maximum height attained by the particle from the ground. 2. Relevant information and equations In...
  4. cooldudeachyut

    Friction problem for two block system on an inclined plane

    Homework Statement Two block M1 and M2 rest upon each other on an inclined plane. Coefficient of friction between surfaces are shown. If the angle θ is slowly increased, and M1<M2 then Options : 1- Block A slips first. 2- Block B slips first. 3- Both slip simultaneously. 4- Both remain at...
  5. J

    I Which Vectors Can Legitimately be Broken into Components?

    I ran across the explanation below of a car on a banked turn (no friction) on a High School teacher's website. I'm assuming this is incorrect, because how can the normal force in this situation equal mg/cos when an object on an inclined plane has a normal force equal to mg * cos? The high...
  6. J

    Normal Force: Inclined Plane vs. Banked Turn

    I"m wondering, at the abstract level, why different mathematics is used to calculate the Normal Force in an inclined plane versus a banked turn (which a vehicle is driving around). For an inclined plane, the standard approach is take weight and resolved into parallel and perpendicular vectors...
  7. isukatphysics69

    Find the acceleration of a block on an inclined plane with a pulley

    1. Homework Statement picture Homework Equations f=ma The Attempt at a Solution Below is my attempt for part B, i am not sure what i am doing wrong here but my answer is off for acceleration
  8. jybe

    Block moves down incline, hits spring, find spring constant

    Homework Statement [/B] The block, initially at rest, slides down the ramp and compresses the spring 0.03 m. Theta = 30 degrees L = 1.25 m M of block = 2 kg Δx = 0.03 m 1) Write the expression for the initial and final energy states 2) Find the spring constant K Homework Equations mgh...
  9. EF17xx

    Understanding Static Friction on a Ramp: Why is the Object Stationary?

    Hi , The Static Friction force of an object on a ramp(inclined plane) making an angle with the horizontal is greater than the weight component down the ramp. My textbook says that this means that the object on the ramp is stationary as the frictional force is greater than the weight component...
  10. N

    Static friction confusion -- Friction versus the Normal force

    I am a bit confused. We have an inclined plane. So I know that Ffmax=μ*N and μ is the coefficient of friction calculated as tgθ (θ is the angle at which the body is on the verge of sliding) and also Ff<=Ffmax And we know that the force that makes the body slide is mgsinθ. So as the angle...
  11. N

    What is the coefficient of friction in this inclined plane problem?

    Homework Statement Two bodies with mass m1 and m2 are tied together with an inexstensible and massless string rolled over a massless pulley put at the top of the incline with angle 30 . m2=5 kg which is on the incline is blocked and T=10 N . m2 is let loose and the system starts moving freely...
  12. J

    Compute acceleration on an inclined plane with friction

    Homework Statement A 24 kg object is placed at the top of an incline with height 500m and length 375m. The coefficient of kinetic friction is 0.600 1) Find the acceleration of the object. 2) Find the speed by the time it has reached the bottom of the inclined plane. Homework Equations F_g =...
  13. lc99

    Objects with Different Moments of Inertia Rolling Down an Inclined Plane

    Homework Statement Homework Equations inertia equations The Attempt at a Solution I think the answer for this is B) or D) but I am not sure what the sentence "a special solid cylinder in which the density is proportional to the radius" means... The solid sphere has little inertia because...
  14. Lukeblackhill

    Galileo's Experiment with an Inclined Plane

    Morning mates, I've peformed Galileo's experiment with inclined planes, using a ramp of 88cm (divided in 4 parts of 22cm), inclined by a height on the right-edge of 4cm. I've measured the following, 1/4 of the ramp (22cm): 1.75s (error of 0.1s) 1/2 of the ramp (44cm): 2.70s (error of 0.1s) 3/4...
  15. C

    Constraint of Two blocks on an inclined plane

    Hello, I have an issue regarding a constraint related to an angle: Suppose I have masses 'A' and 'B' on an inclined plane ( of mass 'C') attached by a pulley. I place my origin as shown and I want to find a constraint relating angle β. so, I saw my classmate writing as follows to find...
  16. I

    Need a little help with motion on an inclined plane

    Homework Statement On a plane tilted at the angle of 30 degrees with the horizon lies an object, whose weight is equal to 1.4 kg. The coefficient of friction between the object and the plane is equal to 0.2. Find acceleration. m = 1,4kg; (weight) Angle (A) = 30 degrees. COF µ = 0,2 Ff -...
  17. Kelvin Andersen

    How to find the work on an object on an inclined plane pulled with a rope

    Homework Statement g = ##10m/s^2## ##\sqrt{3}## = 1.7 Determine work by the 20N force Homework Equations for an inclined plane: W = ((F+mgsin30)-(mgcos30)μ)s -> (Fx-ff)*s for object pulled with angle: W= (Fcos60-(mg-Fsin60)μ)s -> (Fx-ff)*sThe Attempt at a Solution W=...
  18. hellovenus

    Two blocks slide on an inclined plane

    Homework Statement Two blocks slide on an incline of angle \theta . Block 1 has mass m1 and coefficient of kinetic friction μ1 with the surface, block 2 has mass m2 and coefficient of kinetic friction μ2. The gravitational acceleration is g. In terms of these parameters, under what condition...
  19. V

    Understanding the Mechanics of Walking on an Inclined Plane

    Hello , This is a question related to an everyday activity . My thinking - The base of the inclined plane is along the x-axis and it makes an angle θ with positive x-axis .We are looking from the +z axis . There will be three forces acting on the person . Weight , normal(perpendicular to the...
  20. E

    Breaking Distance of a Car Traveling on an Inclined Plane

    Homework Statement Calculate the braking distance for a car traveling at a speed of 35.0m/s down a hill at an angle of 10.0 degrees relative to the horizontal. Homework Equations F=ma v=u + 2as[/B] The Attempt at a Solution The teacher briefly explained this in class saying that the total...
  21. A

    How is the minimum work needed to push a car up an inclined plane calculated?

    Homework Statement What is the minimum work needed to push a 1000-kg car 300 m up a 17.5 degree incline? A. Ignore friction B. Assume the coefficient of friction is 0.25 Homework Equations W = F*d Net force = ma The Attempt at a Solution At first I did: Work = F*300*cos17.6 but I later...
  22. A

    Calculating the Force Needed to Push a Sofa Up an Inclined Plane

    Homework Statement Suppose you needed to push a 1,500-N sofa up a frictionless ramp with a 30° angle. How much force would you have to apply to the sofa? Homework Equations f=ma The Attempt at a Solution I know that to find force you need to use the equation f=ma but I am not sure how I...
  23. C

    Friction on an Inclined Plane: Solving for Acceleration and Forces

    Homework Statement There is a mass on incline surface that is acted by foces. μ=0.8 m=2 kg θ=30° g=10 m/s^2 ##F_N##= normal force ##F_F##= friction force ##Fg_x## = horizontal gravitational component ##Fg_y## = vertical gravitational component Homework Equations ##F_N=mg~cosθ##...
  24. I

    How do I find acceleration and tension on an inclined plane

    Homework Statement Two objects of 2.8kg and 4.2kg are connected by an inextensible cord. The object's at rest on a plane inclined 22°, determine the object's acceleration and tension in the cord if a 60N force is used to push the object downward. Homework Equations ΣFnet = ma the plane is...
  25. M

    Find the time dependence.... (Mechanics)

    Homework Statement I am not looking for a solution to the problem, as much as I need a clarification on what it's asking for. The problem: "A particle of mass m slides down an inclined plane under the influence of gravity. The particle is starting its motion from rest. Find the time dependence...
  26. B

    Help with finding Normal Force of inclined plane

    So this is the problem: A 250-kg crate is on a rough ramp, inclined at 30° above the horizontal. The coefficient of kinetic friction between the crate and ramp is 0.22. A horizontal force of 5000 N is applied to the crate, pushing it up the ramp. What is the acceleration of the crate? Relevant...
  27. C

    MHB Finding the force on an inclined plane

    Dear Everybody, What force (in N) must be applied to a 150.0 kg crate on a frictionless plane inclined at 30° to cause an acceleration of 7.1 m/s2 up the plane? Work: I know the sum of the force in the x direction must be equal to mass multiply by acceralation.Thanks Carter
  28. C

    Ball bounces several times on an inclined plane

    Homework Statement A ball falls on an inclined plane of inclination theta from a height h above the point of impact and makes a perfectly elastic collision. Where will it hit the plane again ? Solve the previous problem if the coefficient of restitution is e. Use theta = 45°, e = .75 and h =...
  29. F

    Block on an inclined plane that is accelerating sideways

    Homework Statement [/B] A block of mass m rests on an inclined plane with angle o accelerating to the right with acceleration a. The coefficient of static friction is u.Homework Equations For what range of a does the block remain at rest on the plane. The Attempt at a Solution [/B] I started...
  30. S

    A box over an inclined plane with a mass, no friction

    Homework Statement We have an inclined plane with a mass ##M## and an angle ##\alpha## and a box of mass ##m## over it. Everything is at the instant 0 (it's a problem of static, no dynamics). a) What's the acceleration in the component x of the box? b) What's the acceleration in the component y...
  31. bdolle

    Understanding the Trigonometry of an Inclined Plane

    <Moderator's note: Moved from a technical forum and therefore no template.> I don't understand the math here which is troubling considering I got A's in calc 2 and 3... I tried to divide both sides by cos(theta) and solve for tantheta. but that gives something different. Also, what does...
  32. K

    Block sliding up an inclined plane

    1. The problem statement, all variables, and given/known data A block with an initial speed of 20.0m/s slides up a ramp with an incline angle of 30º. (a) (2 points) Write the position as a function of time for motion up the surface of the ramp. (b) (2 points) Write the velocity as a function...
  33. Bill_Nye_Fan

    Finding the Braking Force of a Truck on an Inclined Plane

    Homework Statement A truck of mass 1.5 tonnes (1500 kg) is moving at a speed of 36 km/h down a hill of slope 1 in 6. The driver applies the breaks and the truck comes to rest after 2 seconds. Find the breaking force, which is assumed to be constant, ignoring any other resistant forces...
  34. Faefnir

    How High Will the Ball Bounce on an Inclined Plane?

    A ball, which can be regarded as pointin all its effects, falls steady , subject only to the weight force, on an inclined plane of an angle α with respect to the horizontal from a height h computed from the impact point. The ball bounces elastically. Get the d height can reach the ball and the...
  35. M

    Inclined plane in a circular motion

    Homework Statement u=60km/hr m=1400kg Friction of road (wet road)=0.4 angle of depression=3.65 degrees radius of circle=156.3m Distance of total circumference=983m Distance of circumference needed to go=154m Therefore it must go 56.4/360 degrees to go that distance. [/B] My problem is to find...
  36. F

    Statics on an inclined plane

    Homework Statement On an incline with slope angle α there lies a cylinder with mass M, its axis being horizontal. A small block with mass m is placed inside it. The coefficient of friction between the block and the cylinder is μ; the incline is nonslippery. What is the maximum slope angle α for...
  37. C

    Inclined plane - a small sphere, a big sphere and a cylinder

    Homework Statement We place a cylinder with radius R, a sphere with radius R and a sphere with radius (2R). Which of the solids will roll out of the plane first? Assume no rolling resistance and no air resistance. Homework Equations 1) The net torque is the torque of the force of static...
  38. EastWindBreaks

    A car traveling upward on inclined plane

    Homework Statement consider a 3300 lb car whose speed is increased by 35 mph over a distance of 200 ft while traveling up a rectilinear incline with a 15% grade. model the car as a particle, assume the tires do not slip, neglect all sources of frictional losses and drag. find the work done by...
  39. M

    A block lies on an inclined plane with an angle of elevation

    Homework Statement A block lies on an inclined plane with an angle of elevation theta. The inclined plane is frictionless, and the plane is accelerated to the left such that the block's height remains constant. What is the net force on the block? I'm having trouble figuring out how to draw the...
  40. J

    Power(hp) needed for climbing an inclined plane

    how much power(hp) would a 1-ton tracked vehicle need to climb 40° hills at 10kph. I know that this isn't exactly a physics question but I know that solving it involves physics to a certain extent.
  41. R

    Spring block system on inclined plane

    1. Homework Statement : The block of mass m1 as shown in the figure (pic attached)is fastened to the spring and the block of mass m2 is placed against it. a)Find the compression of the spring in equilibrium position. b)The blocks are pushed a further distance (2/k)(m1 + m2)g sinθ against the...
  42. Nacho Verdugo

    Mass sliding on frictionless inclined plane compresses a spring

    Homework Statement A body with mass m start from repose and slide along a plane without friction. The plane forms an angle with the horizontal. After sliding a distance d unknown, the mass touches the extremity of a spring non compressed and non stretched with no mass. The mass slides a...
  43. B

    Why is the velocity at the cusp point equal to the final velocity on the hill?

    Homework Statement A sled goes down a frictionless hill onto flat ground with friction. The sled comes to a stop in some distance. The height of the hill, the angle of the hill w.r.t the horizontal, the initial velocity of the sled, and the coefficient of kinetic friction are all known. I...
  44. S

    Elastic attached to a Car travelling down an inclined plane....

    Hey! I'm conducting an experiment wherein a car of various weights travels down an inclined plane of varying angles, attached to the back of the car and the top of the ramp is an elastic cord. Once the car reaches the end the elastic pulls backward, and thus pulling the car back. We are...
  45. iwan97

    Friction problem -- 2 blocks and a rope on an inclined plane

    Homework Statement So, these 2 blocks are connected by a rope. Aluminuim block is 2kg and copper is 6kg. They are kept in motionless state via some kind of mechanism on steel surface. θ is 30 degrees. I was given dynamic and static friction coefficient (Aluminium μs=0,61 i μd=0,47, Copper...
  46. D

    Thermodynamics - Need help with inclined plane problem

    Homework Statement A train engine climbs a hill. The engine is 30% efficient. The train has a mass of 12000kg. The hill is 750m in height, with an incline of 20° form the horizontal. Friction exerts a force opposing motion of 8000N throughout the climb. Find w, Qin and Qout for the engine...
  47. H

    Fluid acceleration down inclined channel – unsteady?

    1. Can a fluid which is accelerating down an inclined channel with constant acceleration still satisfy the continuity equation for a constant-density fluid? Since the acceleration will be down the slope, in the streamwise direction, then surely ∇⋅U > 0? 2. Assuming that continuity is satisfied...
  48. danyull

    Projectile motion on an inclined plane

    Homework Statement A ball is thrown with initial speed v0 up an inclined plane. The inclined plane makes an angle of π/6 above the horizontal line and the ball is launched at an angle θ above the inclined plane. No air resistance in this problem. (a) How long does the ball stay in the air? (b)...
  49. Elvis 123456789

    A rope falling off an inclined plane

    Homework Statement A rope of length L is falling off an incline. Part of the rope is still on top of the horizontal surface. There is no friction between the incline and the rope. The incline is at an angle theta above the horizontal. a) What is the magnitude of the acceleration of the rope...
  50. Shardul Khare

    Sliding on an object on an inclined plane

    How does the object slide down the surface (With friction negligible)
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