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. M

    Finding the angle of an inclined plane

    So here's the problem: A sled slides down a long snow-covered slope that is at an angle θ to the horizontal. Kinetic friction acts on the sled as it slides where the kinetic coefficient of friction between the sled and snow is μk = 0.050. Ignore air-resistance when solving this problem. If we...
  2. M

    Inclined Plane Static Friction Coefficient

    Homework Statement The static friction coefficient on an inclined plane is equal to tan(θ). The problem requires me to prove this also works by using an x-axis parallel to the ground rather than parallel to the incline. I understand how to get tan(θ) using the incline as the x-axis, but I don't...
  3. T

    Connected particles on an inclined plane

    Homework Statement Mass of m1=90kg Inclination is 40degrees. (see the attachment) a) What must be the size of m2 , to hold the system in balance (no movement) ? b)what must be the size of m2 at least, to make m1 move upwards. The static friction coefficient between m1 and the plane is 0.3...
  4. S

    Projectile launched from an inclined plane strikes a wall horizontally

    Homework Statement There is an inclined plane which is inclined at an angle of 37° to the horizontal. A projectile is projected perpendicularly to the inclined plane at a velocity of 50m/s such that it strikes a wall kept at the foot of the inclined plane perpendicularly. Find the time taken...
  5. R

    Two masses on an inclined plane without friction

    Homework Statement Two identical masses are connected with a rope and are gliding without any friction. Situation given in the picture: Determine after which distance "s" they stop if we have s=0 at t=0 with starting velocity ##v_0## Given: ##\alpha## and ##\beta## with ##\alpha < \beta##...
  6. T

    Motion on a rough inclined plane

    Homework Statement A car is moving up a rough inclined plane/road of 10 degrees with a velocity of 10m/s. The coefficient of friction is equal to 0.5 and the mass of the car is 10kg. The car brakes. After what distance does the car stop? Homework Equations F=ma v^2=u^2+2as u= initial velocity...
  7. Kenny555

    Mass and spring on an inclined plane

    Homework Statement [/B] I got part A and B but in part c , but how to relate period to the equation in part b which is not similar to the cosine function of S.H.M . So i don't know how to obtain period from the equation PS: In part b ,I use mgsin(theta)=-kx and then divided by m Homework...
  8. A

    Efficiency of an Electric motor pulling a truck up an inclined plane

    Homework Statement See picture. Homework EquationsThe Attempt at a Solution I tried at first just doing (1/3)*(48kJ) to get the energy dissipated, but that would i=give me 16kJ
  9. Akash47

    Block at rest on an inclined surface

    Homework Statement Homework Equations Component of force,equilibrium of force. The Attempt at a Solution In the problem (ii),the friction force is ##Mgcosθμ##,the component of weight in the inclined surface is ##Mgsinθ## and the component of the applied force ##F## along the inclined surface...
  10. A

    Acceleration on an inclined plane

    Homework Statement The question says "A block of mass 4kg on a friction less inclined plane at angle of 30° is connected by a cord over massless friction less pulley to a second block of mass 2.3kg hanging vertically. What is the magnitude of acceleration of each block." Given m1 = 4 kg m2 =...
  11. M

    Find the mass of a block on an inclined pulley

    Homework Statement Block A is traveling down an incline plane of 35 degrees at 2m/s. It's pulling a 4kg block with a pulley and rope. Coefficient of friction is.12. How heavy must block A be ? Homework Equations F=MA F = WsinΦ + μWcosΦ mgh = 1/2 mv^2 + WD to overcome friction Vf^2 = u^2 +...
  12. C

    Bragg diffraction form an “inclined” crystal plane

    Homework Statement In picture, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength ##0.260 nm## makes an angle ##\theta=63.8°## with the top face of the crystal. What is the unit cell size ##a_0##? Homework Equations Bragg law $$d=\frac{ n...
  13. devilish_wit

    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...
  14. J

    Spring on an inclined plane

    Homework Statement As part of an elaborate prank, a well-greased watermelon (m=4.72 kg) is placed on a ramp inclined with angle θ=27.4° with respect to the horizontal. Because of the grease, the coefficients of static and kinetic friction are µs= 0.560 and µk= 0.392 respectively. The...
  15. navneet9431

    Three blocks and a spring on an inclined plane....

    Homework Statement See question number 1. Homework Equations Work Energy Theorem, work done by all the forces=change in K.E. The Attempt at a Solution I tried solving this question this way, please help me calculate the Work Done by spring here?? I will be thankful for any help!
  16. H

    Mass going up an inclined plane with initial velocity Vo

    1. Vo Mass=m 2.So we tried two ways of doing this, one is by taking the y component of the i itial velocity and using that and the other by using the component of its weight parallel to the initial velocity.They give conflicting answers. For the left one it turns out to be t=Vosinθ/g But for...
  17. C

    Equivalence of tipping conditions on an inclined plane

    We have a cube on an inclined plane. The tipping condition is the presence of an unbalanced torque relative to the center of mass (contributing forces are: the normal force and the force of friction). However, is this conditions equivalent to the previous one: The line of action of the force of...
  18. Wes Turner

    The physics of the inclined pushup

    I am trying to analyze the physics of the inclined pushup. I have attached a PDF showing what I have so far. I would appreciate any critiques. I don't see the attachment in the preview, so I hope it is visible. I am especially concerned with Figure 5. I have placed the load (W) at the center of...
  19. C

    A cube tipping over on an inclined plane

    What's the minimal angle of a ramp such that a cube with side 10 cm placed on it will tip over? The coefficient of friction between the cube and the ramp is 0.6. I have given it some thought and I have come to certain conclusions: I think that the cube will tip over once the force of gravity...
  20. PhysicsIsKillingMe

    Friction force on an inclined plane

    Homework Statement A speed of a body of mass 8 kg is 6 m/s in position A. By the time it gets to B, the speed is measured to be 12 m/s. What is the frictional force opposing the motion? The incline is 30 degrees, the height of the ramp is 12 meters. Position A is at the top of the ramp...
  21. H

    Find induced current, magnetic force, work in inclined plane

    Homework Statement [IMG]http://[url=https://ibb.co/b3Emfo]https://preview.ibb.co/gLaEY8/20180527_055248.jpg[ A conducting bar slides down without friction on a pair of conducting rails separated by distance d. Connected to resistor R and there magnetic field B directed upward, perpendicular to...
  22. P

    Effects of changing the angle on an inclined plane

    Homework Statement for an assignment, we must investigate physics in context, my selected context is a log flume ride, focusing on the final slope. the height of the inclined plane is 13m, the hypotenuse is 17m and the horizontal length is 11m, calculated with a scale diagram and kinematics...
  23. U

    Question Concerning The Coefficient of Friction: Block on a Rough Inclined Plane

    Homework Statement A block of mass 20kg is on rest on a rough plane inclined at 60 degrees to the horizontal. A force P is applied to the block to "maintain equilibrium". P is parallel to the line of greatest slope of the inclined plane. The maximum value of P is twice the minimum value of P...
  24. thevinciz

    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...
  25. J

    3 balls rolling down different-shaped inclined platforms

    Homework Statement which ball reaches at the end of the board first, which ball reaches ground first, which ball would be fastest when reached ground and at the end of the board? heights are same and balls are identical Homework EquationsThe Attempt at a Solution i think since ball rolls...
  26. M

    Statics problem -- Rectangular plate lying on two inclined surfaces

    Homework Statement https://www.img.in.th/image/VNaqVa https://www.img.in.th/image/VNa3k9 This is my home work. Homework EquationsThe Attempt at a Solution I have a problem with the force at A and B. I don't know how to use NA NB in the term of α and β to use moment calculation. I got that...
  27. 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...
  28. 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...
  29. 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...
  30. Raghavendar Balaji

    Moment of Inertia of an inclined disk

    Homework Statement 1. Homework Statement An uniform disk of mass m, thickness L and radius r is suspended from the ceiling by a wire. It is attached to the disk at a distance, d from the center of mass, so that it inclines at an angle A to the vertical. What is the moment of inertia of the...
  31. 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...
  32. 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
  33. 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...
  34. 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 =...
  35. 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...
  36. 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...
  37. 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...
  38. 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 -...
  39. A

    Will a sphere rotate on a frictionless inclined surface?

    Well, my physics teacher taught us about rotation the other day and I came across a scenario where a sphere and a ring roll down a friction-less inclined plane from a point of absolute rest. I found it counter-intuitive as I started to think about why would they start rolling in the first place...
  40. 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=...
  41. 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...
  42. 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...
  43. 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...
  44. 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...
  45. 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##...
  46. 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...
  47. H

    Work done running on an inclined treadmill

    Why does it cost roughly the same effort to run against an inclined treadmill as up a hill of the same inclination? That is neglecting the movement of the legs and the bobbing up and down as we run and the wind resistance. I remember being told in school physics that there is no work done unless...
  48. 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...
  49. 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
  50. K

    Deflection of an inclined rope

    Hi, I am looking for a formula that describes the deflection of an inclined rope that is fixed in both ends, the left end is at the origin and the right end is at (xB, yB). The known parameters are; the length between the ends is L, the length of the rope is l, the initial angle is β and there...
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