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
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...
Newton's third law states that with every force, there is an equal and opposite reaction and these forces will act on mutually opposite bodies.
However, when an object is resting on an inclined planed, the normal force is not directly opposite of the weight so doesn't this defy Newton's third...
Homework Statement
coefficient of kinetic friction = 0.15
Find the acceleration of block a.
Homework Equations
see below
The Attempt at a Solution
http://www.wolframalpha.com/input/?i=-200sin30%2B0.15*200cos30%2B2x%3D-200%2F32.2*a%3Bx-40%3D40%2F32.2*b%3Ba%3D0.5*b
I used x for...
Hey,
Imagine a frictionless inclined plane situation where the ramp goes up and to the right.
If we put an object on it with any mass m, would it be fair to say that both of the components of the weight are negative? My reasoning is that the x component causes acceleration to the left and the...
Homework Statement
http://img192.imageshack.us/img192/6482/asderl.jpg
Find S(t).
Homework Equations
I managed to find these equations, but don't know how to solve them completely.
mx``=Rsinφ
my``=Rcosφ-mg
xtgφ+y=h
x`(0)=0; x(0)=0; y`(0)=0; y(0)=hThe Attempt at a Solution
Need to find...
Homework Statement
Two bullets are shot with different velocity from the same gun placed parallel to an inclined plane. Which one will strike the plane first?
1. the faster
2. the slower
3. neither, both strike the plane at the same time
Homework Equations
Kinematics equations...
The Attempt...
Homework Statement
A cylinder is pure rolling up an inclined place. It stops momentarily and the rolls back. In what directions is the force of friction directed during the journey?
The Attempt at a Solution
While going up, the cylinder rotates in the anticlockwise direction, and so the...
Homework Statement
A particle is projected from a point P on an inclined plane, up the line of greatest slope through P, with initial speed V. The angle of the plane to the horizontal is θ.
(i) If the plane is smooth, and the particle travels for a time \frac{2Vcosθ}{g} before coming...
Homework Statement
A transporter of mass m rolles down a hill with an incline of 20° for a distance of 10m before hitting a wall on the bottom of the hill.
Homework Equations
calculate the impact force.
The Attempt at a Solution
This homework ask to simulate the impact in...
Attached is an image showing the problem. Supposed the β, θ, and √o are given. How do we get the distance from the initial position of the ball to the final position on the inclined plane?
Homework Statement
A box with a mass of 22kg is at rest on a ramp inclined at 45 degrees to the horizontal. The coefficient of static friction is 0.78
determine the magnitude of the smallest force that can be applied onto the top of the box, perpendicular to the ramp if the box is to...
A steel rod of 0.10kg rests on two metal rails inclined at an angle of 30 degrees. There is a magnetic field of 0.50T on the incline and a current of 70A flowing across the bar. Find the acceleration of the bar.
The bar is 0.12m wide**
The attempt at a solution
What I have so far is a diagram...
Homework Statement
A block of mass m is held motionless on a frictionless plane of mass M and angle of inclination θ. The plane rests on a frictionless horizontal surface. The block is released. What is the horizontal acceleration of the plane?
(Introduction to Classical Mechanics by David...
a sphere and a hoop both of same mass (e.g. 'm') roll down an inclined plane without slipping...which will get to the bottom first..will they have equal kinetic energies when they reach the bottom?
1. Homework Statement
A block given an intial velocity of 2m/s up a frictionless inclined at 60 degrees to the horizontal. What is the highest point reached by the block?
2. Homework Equations
gsin(θ)=a
a=v/t
d=vit + 1/2at^2
3. The Attempt at a Solution
Found vx = vsin60=...
Homework Statement
Find the normal force acting on a mass of 5kg on an incline plane of 30 degrees.
Homework Equations
Fn = mgsin30 or mgcos30 ?
The Attempt at a Solution
I'm not sure if I use sin or cos when finding the normal force on an incline. I have trouble visualizing the...
Homework Statement
A body of mass m = 2.5kg is on a frictionless inclined plane (by 40°). At an height of h = 1.6m.
On the bottom of the plane there's a spring, which at rest has an extension of 30cm.
If the spring is compressed maximum of 12cm, what's the "k" of the spring?
Homework...
Homework Statement
A 250N force is directed horizontally to push a 29kg box up a plane that is inclined at 27 degrees to the horizontal. the box moves up the plane at a constant speed. Determine the magnitude of the normal force, and the coefficient of kinetic friction.
g=9.8m/s^2
a(y) =...
Homework Statement
The original problem was as follows:
A civil engineer wishes to redesign a curved roadway in such a way that a car will not have to rely on friction to round the curve without skidding. In other words, a car moving at the designated speed can negotiate the curve even when...
Yet another question i was unable to finish last semester which still bugs me... D:
A ball drops from (H) with a velocity = 0. with a mass M. It collides with an inclined plane with a mass M1. the ball goes exactly horizontally to the right, the incliend plane goes to the left. Momentum is...
Homework Statement
A 4,535,924-kg ship rests on launching ways that slope down to the water at an angle of 10 degrees. If the coefficient of sliding friction is 0.18, how much force is needed to winch the ship down the ways into the water?Homework Equations
Force of friction=μFn
Force parallel...
Homework Statement
Homework Equations
on a inclined plane an object is at stationery. β accelaration is applied horizontally towards the inclined plane(no friction at all no where) being object is at rest relative to the inclined plane.the angle of the inclined plane is θ sinθ=1/x.what...
Homework Statement
A 25-kg box slides, from rest, down a 9.0-m-long incline that makes an angle of
15° with the horizontal. The speed of the box when it reaches the bottom of the
incline is 2.4 m/s. (a) What is the coefficient of kinetic friction between the box
and the surface of the...
Homework Statement
We have an inclined plane, 20 degrees, with two blocks on it. The higher block (m2) is 15 kg and the lower block (m1) is 20 kg. A 200N force is applied to the blocks and they move up the inclined plane at a constant speed. What force does the 15 kg block exert on the 20 kg...
Need a "proofy" yet analytically inclined calculus book
I have James Stewart's Calculus book edition 4 that I use as a supplement, I really like it actually and I appreciate the analytic aspects of it. What I'm looking for is something that is both rigorous and analytic. And something at a very...
I need someone to double check it, because this was an exam given by my teacher and I am trying to solve it, but I do not have any results so I would like to know if I did it correctly or not. Thank you!
Homework Statement
Two blocks m1 = 50kg and m2= 100kg are attached to a rope as shown in...
1. A box of mass 28 kilograms is held at rest on a rough plane inclined at an angle of 60° to the horizontal by a rope attached to a vertical pole. When the rope is cut the box moves down the plane with an acceleration of a m/s^2.
Find the expression for the coefficient of friction µ, in terms...
1. A 250-kg crate rests on a surface that is inclined above the horizontal at an angle of 21.8°. A horizontal force (magnitude = 515 N and parallel to the ground, not the incline) is required to start the crate moving down the incline. What is the coefficient of static friction between the crate...
Mass on an inclined plane with friction!
There is a mass at the bottom of an inclined plane. It travels with an initial velocity up the inclined plane at an angle θ. There is a coefficient of friction on the ramp. How far up the ramp will the mass go before stopping? What is the speed of the...
There is a mass at the bottom of an inclined plane. It travels with an initial velocity up the inclined plane at an angle θ. There is a coefficient of friction on the ramp. How far up the ramp will the mass go before stopping? What is the speed of the block when it returns to the bottom of the...
There is a mass at the bottom of an inclined plane. It travels with an initial velocity up the inclined plane at an angle θ. There is a coefficient of friction on the ramp. How far up the ramp will the mass go before stopping? What is the speed of the block when it returns to the bottom of the...
Hi everyone ! My name is Sean. I'm a new member of this forum.
I couldn't do any attempts for this problem. Actually, i did many attemps but they went wrong.
Homework Statement
How can i solve this problem ?
Your friend is late for school and is running with a speed of v_f up a hill which...
This is something I remember as a standard problem given to college math and physics students ... I've been hunting for a model answer online but no luck: everyone is happy to do the cylinder on it's side or a truncated cone or the intersection of two objects with a lot of symmetry in common but...
Homework Statement
On Mountain roads, ramps of gravel are constructed to allow trucks that have lost their brakes to come to a stop. Suppose a 15,000kg truck hits one of these ramps at 35m/s. The incline of the ramp is 6 degrees and the coeffiecent of friction is 0.40.
By using work and...
Is there any difference in the force I need to apply between pushing and carrying a mass upward along an inclined plane with a constant velocity ?
I'm puzzled with the normal force of the mass at the inclined plane. When I push up a mas, the normal force of it is exerted by the inclined...
Homework Statement
An inclined plane of angle 20.0° has a spring force constant k = 500 N/m fastened securely at the bottom so that the spring is parallel to the surface (as shown in the attached photo). A block of mass m = 2.50kg is placed on the plane at a distance d = 0.300m from the...
Homework Statement
An 8kg block rests on an inclined plane where theta=37 degrees. The coefficient of kinetic friction on the plane is .23. The 8kg block is connect by a massless, frictionless pully to a hanging 16kg block. The blocks are released from rest. What is the acceleration...
Homework Statement
A box of mass m with an initial velocity of v0 slides down a plane, inclined at θ with respect to the horizontal. The coefficient of kinetic friction is μ. The box stops after sliding a distance x. How much work is done by friction?
Homework Equations...
Hello everyone, I'm stuck on a dynamics review question. I was told to solve like I would with other inclined planes, however mass was not given. I am not sure how to proceed.
Homework Statement
A roller coaster reaches the top of the steepest hill with a speed of 1.4 m/s. It then descends...
Why does rain appears to be inclined when observed from inside of a moving car?
Assume that the rain is straight.
Then the person in the moving car sees that rain is inclined and a person standing on the road sees the straight rain.
Is my observation correct? When I first saw this I...
So we did a lab in class using an inclined air table, two pucks and a spark timer. Only one puck was used and we "launched" it in a way that when the spark timer was activated, it traced a parabola on the sheet of paper over the air table.
What I don't understand is: why is horizontal...
Homework Statement
You have a pair of inclined planes such that a block that slides down one can slide up
the other without losing any energy in the transition. The inclined planes are both at an
angle θ from the horizontal, as shown in the diagram. The inclined plane on the left is...
Homework Statement
The air table is approximately 25 cm square. If the incline has a rise of 1cm over that distance, what is the maximum velocity up the slope that a puck may have and not hit the upper wall
Homework Equations
ymax = (V^2sin(θ))/(2g)
xmax = 2V^2sin(θ)cos(θ)/g
The...
Homework Statement
A 2kg box is at the top of an inclined plane that is 10m long. The inclined plane makes an angle of 30° with the ground. The μk of the ramp is 0.36 and the μk of the flat ground at the end of the ramp is 0.50. How far does the box travel along the flat ground until it stops...
Homework Statement
A 3.00 kg block starts from rest and slides a distance d down a frictionless 30.0° incline. While sliding, it comes into contact with an unstressed spring of negligible mass. The mass slides an additional 0.219 m as it is brought momentarily to rest by compression of the...
1. Homework Statement [/b]
Objects of masses m1 = 4.00 kg and m2 = 9.00 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The object m1 is held at rest on the floor, and m2 rests on a fixed incline of θ = 42.0°. The objects are released from...
Homework Statement
A box with a mass of 6.00 kg is at rest on a ramp that is at an angle of 20 degrees with the horizontal. The coefficient of static friction between the box and the ramp is 0.800. Use g = 9.80 m/s2. You now want to make the box move by applying a force. To start the box...
Homework Statement
A skateboarder slides down a frictionless ramp inclined at an
angle of 30° to the horizontal. He then slides across a frictionless
horizontal floor and begins to slide up a second incline at an angle
of 25° to the horizontal. The skateboarder starts at a distance of
10 m from...
"A loaded penguin sled weighing 69 N rests on a plane inclined at angle θ = 22° to the horizontal. Between the sled and the plane, the coefficient of static friction is 0.25, and the coefficient of kinetic friction is 0.20.
(a) What is the minimum magnitude of the force , parallel to the...