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.
Hello Friends, I am not able to solve a problem of my textbook
A block of mass m slides on a inclined plane of mass M, then What is the velocity of inclined plane when mass m reaches the ground ? ("All surfaces are friction less and the height of inline plane is H and the angle of inclination...
When an iron ball is allow to roll down the inclined plane such that magnet is fixed at the bottom of plane then rolling ball is attracted towards the magnet. But if two iron balls all allow to roll down then they stop in between on plane. Why
Homework Statement
I'm asked to solve the typical intro level box on an inclined plane problem but I need to do it using the lagrangian.
My difficulty with it is that the axis I am required to use are not the typical axes used when solving this using Newtonian mechanics. Instead of the...
Homework Statement
There's no specific problem statement but I have to explain how I would find out the coefficient of kinetic friction given the angle (θ) of the inclined plane and mass of the object sliding down, nothing else.
Homework Equations
ƩF = ma
μk = Fk (kinetic friction) / Fn...
Homework Statement
There is a wire (current I = 1.05 A) that splits into two channels; of resistance R2 = 6.60 and R1 = 1.25 , and re-joins, forming a current in the shape of an isosceles triangle with base distance d = 6.90 cm and height L = 14.0 cm. The loop is entered into the space between...
Homework Statement
Burglars are pushing, with a horizontal force Fpush, a safe of mass m and coefficient of kinetic friction μk up a slope of angle θ. What is the safe's acceleration (in abstract terms)?
Homework Equations
a[SUB]s= +/-gsinθ (natural accl down a slope)
friction on a...
Homework Statement
Scroll down for pic related
Determine the tension
in the cable P that will give the 50 kg block a steady accelerationof 2.0 m/s^2 up the incline.
Homework Equations
Where am I going wrong?
The Attempt at a Solution
Let Fa=force applied
I calculated the...
Homework Statement
A particle of mass m slides on the surface of a plane inclined at an angle θ to the horizontal. The plane itself has a mass M and is allowed to slide on a horizontal surface (such that θ remains constant). There are no frictional forces.
(i) Write equations of motion for the...
Homework Statement
You are helping a friend move, and you need to load a 2.65x10^2 kg box of books. You slide the box up a ramp, which has an incline of 30 degrees and a coefficient of static friction of 0.45. You apply the force on the box at an angle of 39 degrees with respect to the ramp...
Homework Statement
Please refer to the image attached.
Homework Equations
P=Fv
The Attempt at a Solution
I have solved the problem already.
But when I refer to the marking scheme, I found that they don't accept the use of P=Fv.
I understand it's because there's an...
Hi friends,
I have an issue in solving a Collision of ball with inclined plane.
Please Help me in solving this.
Thank you all in advance.
The problem is as:
https://fbcdn-sphotos-a-a.akamaihd.net/hphotos-ak-frc3/q71/s720x720/1379765_1432382863655486_1628611844_n.jpg
Attempt...
Homework Statement m1 has a mass of 47 kg and m2 has a mass of 35 kg. the coefficient of friction between m1 and the surface of the inclined plane are us=.42 and uk=.19 m1 is on an inclined plane angled 25 degrees
A) if the masses are held in place and then released, will they start to move...
W = fd
The answer is 8. The solution manual says work is the same for either scenario, d = 4 or d = 0.5
From this assumption I can see that by increasing distance from 0.5 to 4, you reduce the force necessary by a factor of 8.
However what I cannot comprehend is: where does the assumption...
Homework Statement
Here is an illustration to ease understanding:
Angle inclined plane: θ = 20.0°
spring of force constant k = 525 N/m
block: m = 2.71 kg
distance of block from spring: d = 0.330 m
speed of block: v = 0.750 m/s
By what distance is the spring compressed when the block...
Homework Statement
2) In the variant of Atwood’s machine shown below, a mass slides on an inclined surface 40θ above the horizontal with a coefficient of kinetic friction μk = 0.15. The masses M1 and M2 are 1 kg and 2 kg, respectively. Which way does the pulley rotate? If the lowest point of...
Homework Statement
Two blocks are connected by a thin inextensible string over a frictionless massless pulley
as shown on the picture below
The acceleration of gravity is 9.8 m/s2
Given that the two blocks move at 1.9 m/s
under an acceleration of 4.1 m/s2,
calculate the coefficient µk...
Hi guys,
Homework Statement
I'm trying to find the theoretical time it takes for a glue stick to roll down an inclined plane of 10 degrees. We then have to compare it to the practical value, which was 1.09 secs.(Average over 10 repetitions). The glue stick has a mass of 10g. The distance of...
Homework Statement
a block with a mass of 0.310kg at a constant velocity , calculate the coefficient of kinetic friction on an incline plane
Homework Equations
f=ma
fg=mg
fparallel= mg* sin30 degreesThe Attempt at a Solution
I found the FN which is 2.60 and the f parallel to be 1.52. i...
Homework Statement
Homework Equations
Wnet = Ek
The Attempt at a Solution
1) That was fine.
2) I just want to confirm if this answer is right?, I got 12.28N. Used work energy theorem.
Sorry for double post, edited the title
Homework Statement
A block of mass M has a string of mass m attached to it. A force F is applied to the string and it pulls the block up a frictionless plane inclined at angle θ to the horizontal. Find the force the string exerts on the block.
Homework Equations
F = ma
The Attempt...
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...
Homework Statement
A block at t=0 is at the bottom of the plane and is projected up an inclined plane with initial speed v0. The plane's acute angle is θ above the horizontal, and the coefficient of friction is μ between the block and plane.
Find the time (t) and velocity (v1) of the...
Homework Statement
Hi, I just had a quick conceptual question.
I understand that if I have an object moving down a ramp, it is being accelerated only by gravity. My question is this:
We should be able to experimentally calculate g if we measure the acceleration down the ramp. Then we can...
Homework Statement
A block with mass M is on an inclined plane having an angle of \theta with respect to the horizontal. The coefficient of friction is \mu. Find the maximum mass that the block can have before sliding down.
Homework Equations
\mu_{s}= tan(\theta) - I derived this and tried to...
Homework Statement
A force of magnitude F acting up and along a smooth inclined plane, can support a mass M in equilibrium. If a force of the same magnitude acts horizontally, it can support a mass m on the same inclined plane in equilibrium.
Find a relationship between F, M and m which is...
It seems that I could have a solid cylinder roll down faster than a solid sphere if the center of the solid cylinder had a very dense material and then a less dense material towards the outside.
Homework Statement
A particle is projected from a point o with initial velocity u up a plane inclined at an angle 60° to the horizontal. The direction of projection makes an angle ∅ with the horizontal. The maximum perpendicular height is H.
prove that H = u^2( sin^2(∅) ) / g
Homework...
Homework Statement
A particle is projected with initial speed u at an angle tan-inverse(1/2) to an inclined plane. The plane contains the point of projection and makes an angle tan-inverse(3/4) with the horizontal. Show that the angle at which the particle strikes the plane is tan-inverse(2)...
Where I work, we use a single acting hydraulic cylinder to raise a tank filled with sludge. After emptying it, it has to be brought back to it's original horizontal postion. This is done using the weight of the cylinder and takes a lot of time (about 15-20 mins).
Can you suggest something to...
A luggage handler pulls a 20.0- kg suitcase up a ramp inclined at 25°above the
horizontal by a force of magnitude 140 N that acts parallel to the ramp. The
coefficient of kinetic friction between the ramp and the incline is If the suit-case
travels 3.80 m along the ramp, calculate
(a) the work...
Homework Statement
A ball (considered as a point) of mass m = 1.5kg is launched from a spring with a Δx= 5cm. Find the elastic constant K knowing that the ball is forced to travel the path ABC and that at point C its speed is zero. AB has no friction while BC has a friction μk=0.05.
At point C...
A 30-N box is pulled 6.0 m up along a 37 °inclined plane. What is the work done by the weight (gravitational force) of the box?
Ok so attempt goes like this:
W = FDCOS(37)
So force weight parallel to the plane is 30sin37 = 18.05N
" perppendicular " 30cos37=...
A 2.0kg wood block is launched up a wooden ramp that is inclined at a 32 degree angle
Initial speed of the block is 8 m/s and the coefficient of kinetic friction is 0.2.
a) what height does the block reach above its starting point?
b) What speed does it have when it slides back down to...
[b]1. What would be the effect on the impact force of a lower or higher release point of a metal ball in an inclined plane.
[b]2. I don't know what to do here.. or how to answer. My teacher told us to include formulas to prove our answers.
Homework Statement
A smooth sphere falls vertically and strikes a fixed smooth plane inclined at an angle of ∅ to the horizontal.If the coefficient of restitution is (2/3) and the sphere rebounds horizontally,
Its speed before impact is u and after impact v
calculate the fraction of kinetic...
Q:Two blocks are tied together on an incline The first box is on a 30 degree incline with he horizontal and is 1 KG, the wire from it runs over a pulley that goes to a mass of 2KG . If both the pulley and the incline are frictionless:
a) What is the acceleration of the 1.0 kg block up the...
Homework Statement
See the image.
Homework Equations
T=Iα, F=ma, I=0.5*m*r^2, Friction=u*N
The Attempt at a Solution
I used the torque equation to get Tension = mcylinder*a/2, and then plugged that into a force equation for the block.
mblockgsin(30)-Tension-Friction=mblock*a
so...
Hi there I was wondering if someone can help me on this attachment I am stuck on question 1.3 and 1.4. This was an experiment to see relationship between sin and gradient I have confidently completed the first two questions but it is the last two questions which are troubling with I am finding...
The coefficient of static friction is defined at the critical/Maximum inclination angle at which the block "begins" to slide. Hence, for a vehicle on an inclined plane at this critical angle, the braking force at this critical angle is given by:
i.e F_{braking}=\mu_{static} N at \theta _{max}...
Homework Statement
A particle of mass m is projected with velocity of magnitude u at an angle of θ, measured anticlockwise from the line parallel to the plane, from a point (sx,0,sy,0) on a plane inclined at an angle of α measured anticlockwise from the line parallel to the ground. The...
Homework Statement
A frictionless, incline plane at 20 degrees has a spring with force constant k=500N/m attached to the bottom, parallel to the inclined plane.
A block of mass m=2.5kg is placed on the plane at a distance d =3m from the spring. From this position the block is projected...
Homework Statement
A trolley is of mass 20kg is pushed 35 metres up an inclined plane (to a height of 10m above ground level). The inclined plane is at arcsin(2/7) to the horizontal. A 100N force pushes the trolley to the top of the plane, the force being parallel to the inclined plane. The...
Homework Statement
A toy car of mass 20kg is pushed up the entirety of a 35m slope, inclined at an angle of arcsin(2/7) to the horizontal. The height at the top of the slope is 10m. The applied force which pushes the car up the slope is 100N, initially, the toy car is stationary...
A physics student shoves a 0.5 kg block from the bottom of a frictionless 30 degree plane. The student performs 4 joules of work and the block slides a distance "s" along the inclined pane before it stops. Find the value of s
W = (F * Cosθ) * D
I plugged in 4 joules for work, multiplied .5 kg by...
Homework Statement
A toy car of mass 20kg moves down a slope of length 35m, which is inclined at arcsin(2/7) to the horizontal. The height of the car initially is 10m, and a constant frictional force of 100N acts against the car through motion. Calculate the work done, power and efficiency of...
please help!
The formula for kinetic friction acting on a sliding body is
μkN
When the body is sliding with constant velocity down an inclined plane
fk=μkN
When the body is sliding up the inclined plane(say due to a force acting parallel to the inclined plane) with constant velocity...
Homework Statement
A block weighing 70.0 N rests on a plane inclined at 25.0° to the horizontal. A force F is applied to the object at 50.0° to the horizontal, pushing it upward on the plane. The coefficients of static and kinetic friction between the block and the plane are, respectively...
Homework Statement
I am solving an inclined flow problem, and am stuck. The problem is to find the volumetric flow rate of inclined flow in a square channel. Once I have the velocity profile, I can just integrate over that to get the flow rate.
2. The attempt at a solution
Letting the...
Homework Statement
The mass of the ball: 136 G
Length of the slope that its sliding down: 132 Cm
Angle of the slope that its sliding down: 11,5228 °
All I have to do, is to find the velocity, and the acceleration of the ball. Though my teacher has given us no time at all for this project...
Homework Statement
Hey guys,
Here is the question:
A pointlike mass m can slide along a rigid rod of length l and negligible mass. One extremity of the rod is fixed at the origin O of an inertial system (x,y,z), and the rod forms a constant angle α with the z-axis. The rod rotates...