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
A 5 kg object is pushed up along a plane inclined 30 degrees from the horizontal by a force of 20.25 N. If the velocity is 2.0 m/s at the foot of the plane and the coefficient of kinetic friction between the plane and the object is 0.25, how far up the plane will the object...
Homework Statement
a track is inclined in such way that the velocity of the metal ball is 60 cm/s at 25 degree below the horizontal. mathematically determine the total x displacement of the metal ball.
weight of ball: 65grams
height from floor to the end of the track: 76.15cm
velocity of the...
The block shown in figure below lies on a smooth plane tilted at an angle theta = 23.7o to the horizontal.
A) Determine the acceleration of the block as it slides down the plane. Ignore friction.
B) If the block starts from rest x = 9.87 m up the plane from its base, what will be the...
Homework Statement
A particle is placed on a rough plane inclined at an angle theta, where tan θ = μ = coefficient of friction(both static an dynamic). A string attached to the particle passes through a small hole in the plane. The string is pulled so slowly that you may consider the particle...
I'm trying to follow a very simple example example in a text (Marion/Thornton example 2.1) and I think my rusty calculus is tripping me up and I'm just being stupid.
I understand how to derive the acceleration down the plane:
\ddot{x}=g\sin\Theta
but next they say 'we can find the...
Imagine u have a ball on top of an inclined plane. The ball is released, hence initial velocity is zero. Assume that air resistance and friction between the surface and ball is negligible. using kinematic equations, V2=2as, where a=gsinθ, θ is the angle of inclination of the plane and s is the...
Hi, how would i go about finding/resolving forces on an inclined plane with one mass on top of another?
Friction is neglected between the mass and the plane. But you need to find the minimum allowable coefficient of friction between the two blocks.
the incline is at 30 degrees
block a on...
Hi,
When a circular section object (cylinder, sphere of radius r) rolls down an inclined plane (at angle theta) it experiences both linear and angular acceleration due to gravity. I have read multiple times that:
mg sin(theta) - friction = m a
where friction = Torque/r
From there on...
Homework Statement
An inclined plane, fixed to the inside of an elevator, makes a 40 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...
applied all the force FR=1008N that I could to the (massless, unstretchable) rope in an effort to pull Brisket into the trailer, up the ramp that formed an angle of 24.0° with the ground. Brisket moved down the ramp with an acceleration of magnitude 0.29m/s2. With this information, and assuming...
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?
I am writing a 2D simulation that involves multiple circles colliding with inclined planes.
I want to collision response to be as true-to-life as possible but have hit a bit of a snag.
Depending on the velocity of the circles, when colliding with the inclined planes, they may either bounce...
This caught my interest after someone posted the question on a cycling forum of would a heavy and light cyclist have different accelerations down an inclined plane when coasting from a stop. Many people had observed that heavier cyclists do indeed have a greater acceleration, but I wasn't...
Homework Statement
A 20 kg mass is released, and the 5 kg mass on the ramp slides up the ramp from rest. As soon as the 5 kg mass gets to the end of the ramp, the string breaks down. What's the tension of the string?
http://img10.imageshack.us/img10/7603/figure1w.th.jpg
Homework...
Homework Statement
Hi, here is my problem:
A sled of mass 8kg is on frictionless slope inclined at 35 degrees to the horizontal. It is pulled by a rope whose tension is 40N and makes angle 20 degrees with the slope.
a)Resolve all forces, acting on the sled into components parallel and...
Guys, I'm just bothered of my professor's answer in the problem we solved. Here are the given
Given:
Weight: 5000 N
Coefficient: 0.4
Angle of the plane: 20º
Solve for the required FORCE to move the box (5,000N) upward to the plane.
This is the formula I used:
Fn=Ff
Fn(sin...
Homework Statement
Two packages at UPS start sliding down the 18° ramp. Package A has a mass of 5.26 kg and a coefficient of friction of 0.22. Package B has a mass of 11.67 kg and a coefficient of friction of 0.15. How long does it take package A to reach the bottom? (s=2.1 m)
Homework...
this might be a dumb question , so if I roll 2 cans down a ramp one heavier than the other one they will obviously accelerate at the same rate but when they get to the flat land
will the heavier one go farther because it has more mass to over come the drag or because it has more kinetic...
Homework Statement
A box is pulled up an incline which is 285 m long and in the process the box rises 16.7 m. The force pulling the truck is 18300 N.
A) If there was no friction, what is the weight and mass of the box? B)If friction provides a force of 17,400 N, what is the force pulling the...
Homework Statement
This has a lot of parts, but I think I got the first few, or at least I'm on the right track.
You have an inclined plane (30 degree angle, the ramp part is 3m) with a 1kg metal bar that is 2m long at the top (mu static = mu kinetic = 0.1). The sides of the plane are lined...
Homework Statement
A solid disk of mass m = 2.2 kg and radius r = .20 m starts from rest at a height h = 3.2 m and rolls without slipping down an incline plane with an angle of 30 degrees above the horizontal.
a What is the linear velocity of the disk at the bottom of the incline...
A block of mass M is being puled up an inclined plane at a constant speed, by an attached rope that exerts a tension T. The block is pulled a distance L. The plane makes an angle theta with the horizontal, and the coefficient of kinetic friction between the block and the incline is uk.
a)...
I need to calculate the efficiency of a inclined plane if a 60 pound box is being pushed up it... The inclined plane is 16 feet long (The plane itself, not the base) and it is raised up 4 feet high.
Homework Equations
efficiency= useful work output/total work input
w=fd
w= work...
Homework Statement
A sight seen on many bunny hills across ontatrio is young skiers pushing on ski poles and gliding down a slope until they come to a rest . Obeserving from a distance , you note a young person (approximatly 25kg) pushing off with the ski poles to give herself an intial...
Homework Statement
There is a cube of ice the top of inclined plane (for 20 degress) with height 4 meters. The inclined plane can move without friction along the surface. The mass of the ice is 1/4 of the mass of inclined plane. Calculate the acceleration of the inclined plane, when the ice...
Homework Statement
A pendulum with string length L hangs inside a boxcar that is rolling down an incline at an angle Beta. The pendulum swings to a maximum angle Theta. Ignore friction, assume Beta and Theta are small.
How far from the vertical will the pendulum swing to the left while...
I'm having problems with my initial approach on this problem:
The figure below shows four choices for the direction of a force of magnitude F to be applied to a block on an inclined plane. The directions are either horizontal or vertical. (For choices a and b, the force is not enough to lift...
Hello everyone,
Right now I'm working on an inclined plane problem.
"a) The worker exerts a force(F) of 86 N. How much work does he do?
(b) How much work is done by gravity? (Be careful with the signs you use.)
(c) The coefficient of friction is µ = 0.20. How much work is done by...
Homework Statement
30g object slides on slope of 20 degrees, with kinetic coefficient of .20. Object is launched up from a spring at bottom of slope, which was compressed by 10 cm. Spring constant = 25 N/m. Find the total distance object travels up slope before reversing direction.Homework...
Homework Statement
a straight horizontal rod slides along parallel conducting rails at an angle with the horizontal of 30 degrees (inclined plane). The rails are connected at the bottom by a horizontal rail so that the rod and rails form a closed rectangular loop. A uniform vertical field...
Homework Statement
This man has mass 'm' and the angle of the plane is 'x'. The inclined plane is frictionless. He is standing on a scale which is placed on top of the blue wedge, what weight will the scale measure?Homework Equations
The Attempt at a Solution
If the man was standing on a...
Need Help !
Homework Statement
Two bodies, A and B arrive at the base of a fricitonless inclined plane with equla momenta of magnitude p. mb=3ma. The ratio of the max. distance Db that B travels up the plane to the max. distance Da the A travels up the plane is : Db=Da ? is that correct ...
1. The 1.0 kg physics book in figure is connected by a string to a 500 g coffee cup. The book is given a push up the slope and released with a speed of 3.0 m/s. The coefficients of friction are Frictionstatic=0.5 and FrictionKinetic 0.2.
question 1, a) find how far it goes up the slope...
Homework Statement
C:\Documents and Settings\Momar\My Documents\Momar\q.bmp
Homework Equations
The Attempt at a Solution
I think that A will fall off the top of B, but i am not sure at all
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...
Homework Statement
Figure P8.36 shows a block of mass m resting on a 20° slope. The block has coefficients of friction µs = 0.83 and µk = 0.47 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass m2 = 2.0 kg...
Homework Statement
You are designing a delivery ramp for crates containing exercise equipment. The crates weighing 1470 N will move at a speed of 1.80 m/s at the top of a ramp that slopes downward at an angle 25.0. The ramp exerts a kinetic friction force of 540 N on each crate, and the...
Homework Statement
There is a box on a frictionless surface that forms an angle of 37 with the horizontal. the box is pushed by a horizontal force (acting on the left top corner) such that it moves with a constant speed. If the mass of the object is 66.2 kg, calculate the magnitude of the...
Boom-Boom Slapshot, Canadian hockey star, slides down a 50m long ice covered hill on his skates. The frictionless hill is inclined at 35° to the horizontal. Once he reaches the bottom of the hill, the ice is covered with deep snow that has a coefficient of kinetic friction of .50
How far into...
Homework Statement
You place a box weighing 265.5N on an inclined plane that makes a 43.2 degree angle with the horizontal. Compute the component of the gravitaltional force acting down on the inclined plane.
Homework Equations
m x g x cos(degree)
The Attempt at a Solution
265.5...
Homework Statement
In the attachment there is a drawing of the situation.
Mass one = 4kg and Mass two = 5kg
The coefficient of friction between mass one and the inclined plane = 0.24
Find the magnitude of the acceleration of the masses and the tension in the cord.
Homework Equations
Fk=...
**Mass sliding down an inclined plane (True/False)
Homework Statement
A block of mass M is sliding down an inclined plane and is accelerating. Which of the following statements are true?
The acceleration of the block is dependent upon the angle of the inclined plane
The normal force...
A 1140 kg car is held in place by a light cable on a very smooth (frictionless) ramp, as shown in the figure. The cable makes an angle of 31.0 degrees above the surface of the ramp, and the ramp itself rises at 25.0 degrees above the horizontal.
Find the tension in the cable. (T=?)
How...
I had several inclined planes, all with the same height(15.5cm) I then pulled up a trolley (600g) with a force metre here are my results
length force
66.8 1.5
57.1 2
47.6 2.5
38.3 3
29.4 4
21.6 5.5
16.3 6.5
I now need to manipulate the raw data to find the height (which is...
http://i98.photobucket.com/albums/l263/Rampalski/randomlabel.png
Using that picture above and this data... A block of mass M slides down a plane at an angle of 37o to the horizontal. The coefficient of kinetic friction = 0.20. The horizontal lines in the picture represent magnitude of forces...
Homework Statement
please advise how to solve. seems i can't without d given, or t!
a man drags a 130 kg object down an inclined plane at a speed of 1.40m/s
The coefficient of friction between the object and the inclined plane is 0.800 and the angle of inclination with the horizontal is...
Hi every one,
For an private school teaching job interview, I need to prepare and deliver a 15 minute lesson on "weight on inclined plane". The level of this lesson, I believe, is AP Physics.
I am thinking of preparing the notes and deliver in the traditional method. Any ideas and...