An inclined plane, also known as a ramp, is a flat supporting surface tilted at an angle from the vertical direction, 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 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. Owing 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. This may include cars on rails or pulled up by a cable system; a funicular or cable railway, such as the Johnstown Inclined Plane.
Hello PhysicsForums!
Here is my attempt at a solution for the problem stated above:
Where m1 and m2 are the masses
Where Ff1 and Ff2 are friction for each mass
Where a1 and a2 is the resulting acceleration
Where S is the fore of the wire (threadforce)
Where FN is the normal force
The answear...
Question diagram, attempt at solution below
I need to cancel some of the terms in the moment equation but a not sure which ones to start with. I don’t know μ so can not calculate FA, so should probably substitute FA = RB2.
Hi, I have a problem with inclined planes. The idea is to calculate the stress in an inclined plane of a bar under tension for which you need the surface. I have no idea how this surface is derived, though. In the attached file, you can see what I mean. For a rectangular cross-section, it's...
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...
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...
Hi,
I need to choose a hydraulic hub motor for a vehicle which weighs 25 000 N when fully loaded. The vehicle must be able to start moving (fully loaded) on a inclined surface (30 degrees angle). So I need to determine the torque needed to get vehicle moving. The vehicle has three wheels from...
Homework Statement
[/B]A mass m lies on an inclined surface with equal coefficients of friction μ=μs=μk. the pulley has also mass m and the weight is 2m. what is the velocity after it has descended distance h and during how much time.
Homework Equations
Moment of inertia of a massive disk...
Homework Statement
Ball strikes inclined plane of infinite mass with velocity v vertically. Elastic collisions. Velocity and direction after collision?
One way of solving is take components along and perpendicular to inclined plane and then solve easily.
Is there any way to solve is using...
Homework Statement
Water is sprayed at an angle of 90° from the slope at 20m/s. Determine the range R.
PLEASE SEE ATTACHMENTHomework Equations
[/B]
Kinematic Equations:
acceleration: A = 0i +g(-j) + 0k;
velocity: dV/dt = A;
position: dR/dt = V;
Origin set at the point spout...
Homework Statement
A wheel rolling on a horizontal flat surface at a constant velocity experiences no friction force. Why?
A wheel rolling on an inclined surface at a constant velocity experiences friction force.
Homework EquationsThe Attempt at a Solution
A wheel rolling on a horizontal flat...
Homework Statement :[/B]
block M slides down on frictionless incline .Find the minimum co efficient of friction so that m does not slide with respect to M.Homework Equations :acceleration of the system=total driving force/total mass:
[/B]
The Attempt at a Solution
m does not slide with...
1. A wheel rolls down a flat inclined surface that makes an angle $\alpha$ with the horizontal. The wheel is constrained so that its plane is always perpendicular to the inclined plane, but it may rotate about the axis normal to the surface. Obtain the solution for two-dimensional motion of the...
Homework Statement
A cylinder is rotating about its axis and is placed on an inclined surface without linear velocity, the coefficient of kinetic friction between the surface and the cylinder is μk . During Δt1 it stays at the same height till the rotation stops. From that moment it takes...
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...
Homework Statement
Hey everyone, as part of a final year project I am looking at the economic feasibility of solar panels and whilst I have solar data for radiation intensity on flat surface, longitude (and plus or minus 15°) and 90° I am trying to find a calculation of intensity at any...
Homework Statement
How is angle of incline related to the acceleration of the car moving down it?
I know how to find both the velocity and acceleration of a car moving down a track using the suvat equations. I don't understand the relationship between angle of incline, velocity and...
Hello all.
I'm having issues trying to figure out the following problem.
A boy with a mass of 52 kg and on a 56-degree slope is hanging on to a cord with a breaking strength of 152 Newtons. What must be the coefficient of static friction between the boy and the surface?
I've not found information in web about diagram pressure forces over a body resting on an inclined surface.
For example, if we have a prism in rest on an inclined surface, the Diagram Pressure is always a straight line?
applying Newtons laws on an inclined surface with two masses
Homework Statement
Two blocks connected by a cord passing over a small, frictionless pulley rest on frictionless planes (diagram attached)
a) which way will the system move when the blocks are released from rest?
b) what is the...
This is just a quick dumb question about a lab i had to do.. it involved putting a block on a piece of wood, and lifting the wood until the block moved. then we had to record the weight of the block and measure the angle that it took for the block to move...
for a block that had a mass of...
Homework Statement
A block is placed onto a ramp. The ramp's angle of inclination is adjustable. Show that when the ramp is raised to the point where the block is just about to begin slipping the coefficient of friction can be determined from: μ= tan(theta) where (theta) is the angle of...
Homework Statement
A man pulls a 10 kg box across a smooth floor with a force of 87 Newtons at an angle of 24 degrees and for a distance of 76 meters. How much work, to the nearest joule, does he do?
If the floor in the previous question is angled upward at 10.6 degrees and the man pulls...
Hi!
I have a simple question:
How does the friction force that acts on a body that is laying on an inclined surface depend on the angle of the surface?
Thanks.
But what happens when the object is on an inclined surface?
In this particuliar situation a 30kg block with an area of force of 80cm squared is standing on a surface which 30 degrees inclined relative to the floor. How do you calculate the pressure it exerts?