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.
Homework Statement
The tension between the 6 kg and 4 kg object
as=2.1m/s
Fnet = 40N
assume 0.4 kinetic friction coefficent
Homework Equations
T1- Fnet = mas
The Attempt at a Solution
acceleration is negative because the object is decelerating as it goes up the slope
so T1-40N = 6(-2.1)
T1 =...
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 =...
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...
Homework Statement [/B]
The inclined ladder AB supports a house painter (85 kg) at C and the self weight (q = 40 N/m) of the ladder itself. Each ladder rail (tr = 4 mm) is supported by a shoe (ts = 5 mm) which is attached to the ladder rail by a bolt of diameter dp =8 mm.
1) Find support...
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...
hi, I wonder that inclined plate capacitor formula is the formula in last picture I shared? I am not sure because there are not enough examples about that ?
<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...
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...
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...
Homework Statement
Homework EquationsThe Attempt at a Solution
[/B]
I tried to draw a rough figure depicting the situation.
Here M is the mosquito and I1, I2, I3 are its images .
Mosquito can clearly see it's image I1 .Now whether it can see I2and I3 is something I am not too sure ...
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...
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...
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...
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...
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...
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...
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...
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.
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...
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...
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...
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...
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...
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...
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...
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)...
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...
Homework Statement
A mass ##m_1## is attached to a second mass ##m_2 > m_1## by an Acme (massless, unstretchable) string. ##m_1## sits on a frictionless inclined plane at an angle ##\theta## with the horizontal; ##m_2## is hanging over the high end of the plane, suspended by the taut string...
Homework Statement
I am asked to find the Hamilton equations for a block on an inclined plane (no friction)
Homework EquationsThe Attempt at a Solution
Please ignore the fact that my steps are written in French (sorry!)
I am no longer sure of what I'm doing when it comes to finding the...
hello
i am new here. I am facing a problem in fuel gauge that when i drive for a long time on hills it start to show false value. I decided to solve this problem i have a gyro and known resistance from fuel tank of my car and now i want to have true value all the time please help me with it or...
Homework Statement
I am about to do an experiment where we masure the average speed of a cart released from the top of an inclined plane that has little friction (air track). The speed measurement is done by a photo gate. This is repeated a hundred times.
Homework Equations
I need to come up...
Two masses, m1 and m2, are attached by a light string of length D. Mass m1 starts at rest on an inclined plane and mass m2 hangs as shown. The pulley is frictionless but has a moment of inertia I and radius R. Find the Lagrangian of the system and determine the acceleration of the masses using...
Homework Statement
Two masses, m1 and m2, are attached by a light string of length D. Mass m1 starts at rest on an inclined plane and mass m2 hangs as shown. The pulley is frictionless but has a moment of inertia I and radius R. Find the Lagrangian of the system and determine the acceleration...
Homework Statement
A block of mass m1 is at rest on an inclined plane that makes an angle (theta) with the horizontal. The coefficient of static friction between the block and the inclined planed is µs. A massless, inextensible string is attached to one end of the block, passes over a fixed...
Homework Statement
100 kg box is held in place on a ramp that rises at 30° above the horizontal. There is a massless rope joint to the box that makes a 22° angle above the surface of the ramp. Coefficients of friction between the box and the surface of the ramp are μk = 0.40 and μs = .60. The...
Homework Statement
I have a question that came up during a mechanics problem. (I put my question towards the end of the post)
A particle slides on a smooth inclined plane whose inclination ##\theta## is increasing at a constant rate ##\omega##. If ##\theta(t=0)=0## at which time the particle...
Homework Statement
As shown in the figure below, small object A is projected upward along a smooth slope forming angle α with the horizontal plane, with initial speed v0 in the direction of angle θ from the horizontal within the slope’s plane. The object continues to travel along the surface...
Homework Statement
Mass 1 of 1 kg is resting on an inclined plane of 30 degrees. A string is attaached to the mass and ran through a pulley at the top of the plane and attached to a suspended mass 2 of 2 kg. How far must the inclined plane be rotated until mass 1 starts to move down the...
Homework Statement
During a flume ride the boat plunges 54 feet down a 43 degree incline. Assuming coefficient of friction .12 determine the acceleration of the boat.[/B]Homework Equations
I'm really not sure, no mass is given or force. All of the equation I know involve mass or force.
The...
Homework Statement
7. A boy drags his 60.0-N sled at constant speed up a 15.0° hill. He does so by pulling with a 25.0-N force on a rope attached to the sled. If the rope is inclined at 35.0° to the horizontal,
(a) What is the coefficient of kinetic friction between sled and snow?
(b) At the...
Homework Statement
A boy drags his ##60.0N## sled at constant speed up a ##15.0°## hill. He does so by pulling with a ##25.0N## force on a rope attached to the sled. If the rope is inclined at ##35.0°## to the horizontal,
(a) What is the coefficient of kinetic friction between sled and snow...
Homework Statement
I have a block of mass M attached to a cord of mass m on an inclined plane of angle θ . A force F is pulling the cord & block up the plane. I have to find the force exerted on the block by the cord. The surface is frictionless
Homework Equations
F = ma
The Attempt at a...
Homework Statement
there is a frictinless slope. And there is a box sliding down the slope.
let's say that the slope slides from right, towards the down and left.
object's mass is unknown value m.
angle of the slope is 35deg.
calculate the absolute value of the acceleration that the box has...
I found the following problem on the 2009 F = ma exam.
24. A uniform rectangular wood block of mass M, with length b and height a, rests on an incline. The incline and the wood block have a coefficient of static friction, μs. The incline is moved upwards from an angle of zero through an angle...
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
Find the equation of the tangents to the ellipse 4x^2+9y^2 = 36 which are equally inclined to the x and y-axis.
Homework Equations
Quadratic discriminant
The Attempt at a Solution
First I substituted y=mx+c into the ellipse, and determined its discriminant, and got c^2 =...
Please show me the relationship that proves how an inclined plane's angle of incline, θ, is equal to the angle used to find the components of gravity force.
I know that the angles are the same, but I'd like a way to show it.
Thanks!