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.
1) A 1.0-kg object moving in a certain direction has a kinetic energy of 2.0 J. It hits a wall and comes
back with half its original speed. What is the kinetic energy of this object at this point?
Attempt at solution: 1/2mv^2 = 1/2m(0.5)v^2
2)
An object of mass 10.0 kg is released from the...
Homework Statement
A box with its center of mass off-center as
indicated by the dot is placed on an inclined
plane.
In which orientation does the box tip over?
Homework Equations
Teacher didn't even mention anything related to this
The Attempt at a Solution
Since the CM was at...
Homework Statement
A sled weighing 250 N rests on a 15° incline, held in place by static friction (Figure 5-61). The coefficient of static friction is 0.5.
a)What is the magnitude of the static friction on the sled?
The sled is now pulled up the incline at constant speed by a child...
Assume there is no friction in the system. Can anyone write formulas for acceleration of both the small object and the triangular object? (Gravity is downwards, no other force such as air drag etc.)
http://img83.imageshack.us/img83/6036/asdasdcf6.png
Homework Statement
Not a problem but an experiment were I have not been told what I need to calculate.
I have a trolley rolling down an inclined plane. We recorded the speed(light gates) at two different points and all distances involved(height of plane, distance between gates etc). We did...
Homework Statement
A block is given a initial speed of 5.0 m/s up the 20° plane. (a) How far up the plane will it go?
(b) how much much time elapses before it returns to its starting point?
Homework Equations
I think
V= u + at
s=ut t 1/2at^2
v=d/t
The Attempt at a Solution...
Homework Statement
Draw and label the free body diagram of a block on a plane inclined 30 degrees from the horizontal. There is friction and the block is stationary. The magnitues of the vectors must be correctly scaled and the directions correct.
And then my other question is how to find...
in the following question, a box with a mass of m is tied to a pole at the top of a slope with an incline of (alpha), the whole slope accelerated at "a", find the tension "T" in the rope.
http://picasaweb.google.com/devanlevin/DropBox?authkey=sbH95pBl_D8#5273613370813875458
what i did...
as in the diagram below, mass m1 is placed above mass m2 on a sloped incline with an angle of b degrees. the frictional coefficient between the two masses is C1 and the coeficient between mass 2 and the slope is C2.
find the acceleration of the masses...
Hello everybody! ;)
I've got problem with task below, I've got few days to solve it and I've got some troubles:
On inclined plane with variable angle of inclination we set cylinder and ball on the same height above the ground. The friction factor for both objects comes to 0,1 - it's the...
Homework Statement
A block slides down an inclined plane with friction. It is sliding at a constant speed. The only forces acting on the block are its weight and contact forces due to the incline. The inclined plane is stationary.
The inclined plane is a wedge that is highest on the left...
ok I'm desperate now lol n this is my first time on PF.
I've just had an exam and I'm sure i got this question wrong. But i'd like to know:
the normal reaction force and the tension/Force F.
The question is: There is this object that has a weight of 20N. It is on an inclined plane that is 30...
Homework Statement
A horizontal force of 2N is just sufficient to prevent a block of mass 1kg from sliding down a rough plane inclined at arcsin 7/25 (=16.3 degrees) to the horizontal. Find the coefficient of friction between the block and the plane and then acceleration with which the block...
if a block of mass m is to slide up an inclined plane to at least a height of h (with no friction), what is the minimum kinetic energy it must have?
no numbers are included...just supposed to know an equation to get the answer.
A 100 kg box is pulled up an inclined plane by a massless, frictionless winch to which it is attached by a massless rope. The plane makes an angle of 45° with respect to the horizontal. The coefficient of friction between the box and the plane is μ = 0.25 (with μs = μk). The winch has a radius...
Power, Work, and an Inclined Angle...HELP ME!
Homework Statement
A car with a mass of 1900 kg is going up a hill at a constant velocity of 27 meters/second. Later, the same car (mass: 1900 kg) is going down the same hill at a constant velocity of 27 meters/second. The frictional force and...
Homework Statement
Is it possible for a box going down on a frictionless incline plane to have not a negative accleration but positive accleration? Please help, it is confusing.
Homework Equations
The Attempt at a Solution
Homework Statement
A projectile is fired up an incline (incline angle ϕ) with an initial speed vi at an angle θi with respect to the horizontal.
Homework Equations
For what value of θi is d a maximum, and what is that maximum value? (Use v_i for vi, phi for ϕ, and g as appropriate. ϕ...
A motorcycle (mass of cycle plus rider = 232 kg) is traveling at a steady speed of 21 m/s. The force of air resistance acting on the cycle and rider is 205 N. Find the power necessary to sustain this speed if (a) the road is level and (b) the road is sloped upward at 29.2° with respect to the...
A block accelerates 3.5 m/s2 down a plane
inclined at angle 27.0◦.
The acceleration of gravity is 9.81 m/s2 .
Find μk between the block and the inclined
plane.
I am completely lost. How can I find the μk if I do not know the mass of the block?
I am having much trouble with these two questions. When you answer can you please xplain the laws you used and why you did what if you can. Thanks.
Please click on url to view question
http://img410.imageshack.us/img410/6031/physicshj1.th.jpg http://g.imageshack.us/thpix.php
myemail...
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
This is a problem that I am trying to help my friend with. I understand how to solve this problem the traditional way by rotating the axes of the block on the inclined plane, but then my friend asked me to show him how the answer is the same with non-rotated axes.
There...
Homework Statement
A spring with k = 40.0 N/m is at the base of a frictionless 30.0° inclined plane. A 0.50 kg object is pressed against the spring, compressing it 0.4 m from its equilibrium position. The object is then released. If the object is not attached to the spring, how far up the...
A block of mass M = 2.5 kg is released from rest and slides down an incline that makes an angle q = 31° with the horizontal. The coefficient of kinetic friction between the block and the incline is µk = 0.2.
a) What is the acceleration of the block down the inclined plane?
I got a = 3.37
The...
Homework Statement
The block shown in Fig. 4-48 lies on a smooth plane tilted at an angle θ = 24.5° to the horizontal. Ignore friction.
http://www.webassign.net/giancoli5/4_48.gif (visit this site for picture)
(a) Determine the acceleration of the block as it slides down the plane...
Hi. During the completion of a physics lab i came across a problem. The lab consisted of putting a wooden block (0.10kg) at the en of a wooded board (1.84m), then lifting the wooden block side up slowly, so that when the block began to slide, we could record the hight. The problem is finding the...
Homework Statement
A ping pong ball is projected (with velocity v)from a foot of an inclined plane with an inclination of \beta . The initial velocity of projection makes an angle \alpha with the surface of th incline. Find the relation beteen \alpha and \beta such that the range is maximum...
Homework Statement
I Have two questions one of them i just can't start it, I don't understand what it is I'm supposed to set up or how.
A Block is shoved up a 22 degree slope with an initial velocity of 1.4 m/s the coefficient of friction is .70 how far up the slope will the block make it...
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...
On an inclined plane, "\SigmaFy = N - mg cos ø = ma = 0".
And "\SigmaFx = mg sin ø = ma" (frictionless).
So, in the y direction, "N = mg cos ø".
But on a banked curve, "\SigmaFy = N cos ø - mg = ma= 0".
And "\SigmaFx = N sin ø = ma = mv²/r" (frictionless).
So, in the y direction, "N cos...
Homework Statement
An inclined plane, fixed to the inside of an elevator, makes a 25 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...
Homework Statement someone standing on a down-tilting inclined plane making an angle of 30 degrees with the horizontal throws a ball with a horizontal velocity of 10m/s, how far down the plane will the ball strike ground
Homework Equations
The Attempt at a SolutionI was just...
Homework Statement
A projectile is fired from the origin down an inclined plane that makes an angle theta with the horizontal. The projectile is launched at an angle alpha to the horizontal with an initial velocity v.
Show that the angle of elevation alpha that will maximise the the...
Homework Statement
A block of mass M is on a plane with an incline of Theta. What horizontal force must the ramp be pushed so that the block does not move relative to the ramp.
This is to be solved generally.
Homework Equations
Force of gravity on block: m*g*sin(theta)
Normal force...
Let me start by stating that this is not a homework question. If I just wanted the answer, it is in the back of my book. What I do need is some understanding of how the answer was reached.
Problem:
Two blocks attached by a string slide down a 10degree incline. Block 1 has a mass m1 = 0.80 kg...
A block of mass M slides down a frictionless plane inclined at an angle è with the horizontal. The normal reaction force exerted by the plane on the block is
a Mg.
b Mg sin è.
c Mg cos è.
d zero, since the plane is frictionless
Homework Equations
Fn=mg cos è
The...
The problem states: An 800N box rest on a surface inclined 30 degrees. If a force 200N parallel to the surface is applied, the box will not slide down the incline. Whats the greatest force that can be applied to the box before it starts sliding up the incline??
I know Fnorm=mg*cos theta...
Homework Statement
A 50 kg block on a frictionless inclined plane experiences a horizontal force. The plane is inclined at 30 degrees.
a- If the block moves up the ramp with a constant velocity, find the magintude of 'F'.
b- Suppose the block accelerates up the ramp at 0.5 m/s^2. Find...
Homework Statement
Cart is on an inclined plain, attached to the cart is a weightless string going to a pulley attached to another mass. There is no friction.
Cart Weight: 0.5Kg
Mass Weight: 0.1Kg
Plain Angle: 20 Degrees
Diagram: See below
Question: Determine Tension in string and...
Homework Statement
A motorcycle and a 60.0 kg rider accelerate at 3.0 m/s^2 up a ramp inclined 10 degrees above the horizontal. What is the magnitude of the force on the rider from the motorcycle?
Homework Equations
F=ma
The Attempt at a Solution
I'm not quite sure which forces...
Homework Statement
A bob suspended from a frame settles into a steady position relative to the frame as the frame slides down an inclined plane. What angle does the bob make with the during the slide?
Here is the illustration from the book...
Homework Statement
Find the amount which the spring is compressed after the mass comes to rest. Assume a kinetic coefficient of friction of 0.11 and an initial velocity along the surface of v = 4m/s.
Given values :
mass = 2.2kg
k = 500 N/m
delta = 0.036m
theta = 23 degrees
The...
Homework Statement
blocks 1 and 2 of masses m1 and m2 respectively, are connected by a light string. these blocks are further connected to a block of mass M by another light string that passes over a pulley of negligible mass and friction. blocks 1 and 2 move with constant velocity v down...
1. What is the acceleration of a skateboard down a ramp inclined at 19.5 degrees to the horizontal?
3.271 is the answer.
2. I know g Sin\vartheta is the equation to get it, but I don't get why it isn't g divided by Sin\vartheta
3. In my head I thought the picture was like...
Q: A ball is at rest on an inclined plane. It begins to roll down with an acceleration of 2 m/s^2. How long does it take the ball to roll 50 m?
This is my work:
find time using, s = ut + 1/2 a t^2
t = sqrt(2s/a)
Plug in the s = 50 and a = 2
Am I right?
Thanks a lot.
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...
Homework Statement
A body is projected up an inclined plane with a speed Vo. The inclination of the incline is \theta. The surface of th incline is a tangent to a circle of radius R. Find the force acting on th object when it is at the top of the sphere provied that Vo= 2*the minimum...
Two inclined planes intersect in a horizontal plane. Their inclination to the horizontal is α and β. If a particle is projected at right angles to the former from a point in it so as to strike the other at right angles, then find the velocity of projection. Assume that the particle undergoes a...
Homework Statement
There are two wedges, each with mass m, placed on a flat floor. A cube of mass M is balanced on the wedges. Assume there is no friction between wedge and block, and the coefficient of static friction is less than 1 between the floor and wedges. What is the largest M that...