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.
Stress -- Cross-sectional and Inclined planes
As per attachment...
"On the cross-sectional plane mm the uniform stress is given
by P/A, while on the inclined plane mm the stress is of magnitude P/A'. In both cases
the stresses are parallel to the direction of P."
The parallel part...
7. A block of mass m = 5.5 kg is pulled up a θ = 22° incline as in the figure with a force of magnitude F = 38 N.
(a) Find the acceleration of the block if the incline is frictionless
So I got this one right, and here is what I did...
From the free body diagram I drew:
Fnet = (38...
Homework Statement
Solve for g in terms of d, t, and theta on an inclined plane.
Homework Equations
Fnet=ma and d=Vit + .5a*t^2
The Attempt at a Solution
Solving for a on an inclined plane I get g*sin theta.
Using the equation for constant acceleration d=Vit + .5a*t^2 I solve...
Homework Statement
Two blocks connected by a cord passing over a small fictionless pulley rest on an double inclined plane (ie a traingle) with static friction coefficient of 0.5 and a kinetic friction coefficient of 0.4. The mass of block A is 100 kg (sitting at 30 degrees), while the mass of...
Homework Statement
A car is parked near a cliff overlooking the
ocean on an incline that makes an angle of
14 with the horizontal. The negligent driver
leaves the car in neutral, and the emergency
brakes are defective. The car rolls from rest
down the incline and has a velocity 5 m/s...
Consider two balls on an inclined track with a constant angle. Ball Q is released from rest a tthe top of the track. Ball P is given an initial velocity directed up the track. Both balls have a constant acceleration directed down the track. at the instant that the balls collide, ball Q is going...
A small ball is launched from the corner of an inclined plane. When the inclination of the plane θ is 70° the max range of the projectile is 50 cm. Later the inclination of the plane changes to a new unknown angle and the same projectile launcher is oriented at 30° to the horizontal line. The...
I want to test several different fluids on an inclined planes and figure out which one is the most slippery. What would be the most scientifically sound way to measure this?
Consider two balls on an inclined track with a constant angle. Ball A is released from rest at the top of the track. Ball B is given an initial velocity directed down the track. At the instant that the balls collide, Ball A is going 4 times as fast as Ball B. Ball B is still traveling upward...
There is a box of mass m on a wedge of mass M with angle θ (the triangle also has a angle of 90 degrees). I need to find the force applied on the little mass, this is what I got:
F=-mgsinθ+Mgsinθ
Where the first term refers to the force of gravity applied to the mass m and the second term...
Homework Statement
Two bodies are acting on one another on an inclined surface. Assuming a constant vertical input force and the lower body being vertically fixed in place on the right hand side, what will the angle of the inclined surface affect. In essence, will the vertical component of...
Homework Statement
What are the directions of my forces acting on mass m with respect to my "m" frame (see attachment)?
Homework Equations
some trig and transformations maybe...
The Attempt at a Solution
I know I only have tension, weight, and a normal force acting on my particle but I...
Homework Statement
(there's a diagram that shows a crate on a plane inclined 19.29° above the horizontal)
Find the coefficient of kinetic friction.
θ = 19.29°
mcrate = .205 kg
Homework Equations
Ff = FN*μk
Fg = mg
FN = cosθ*mg
The Attempt at a Solution
I drew out a free-body diagram for...
Homework Statement
Please see attachment.
When θ = 0, mass m is at the bottom of the inclined plane.
If I create a frame at origin O, with axes along the bottom of the plane and the dotted line (as shown in the picture), will my magnitude of the vector from O to A (along the dotted...
Homework Statement
Starting from rest , a body slides down a 45° inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is ,
a)0.275
b)0.75
please answer with working...
If you have a tube and a solid cylinder of the same dimensions and density and rolled them down an inclined plane the 'tube' would cover the same distance in less time?
Homework Statement
A 60-N block rests on a 35 degree inclined plane. Determine the normal force and find the friction force that keeps the block from sliding.
Homework Equations
The Attempt at a Solution
Drew the free body diagram with each vector, not sure how to figure the...
If the angle of a frictionless inclined plane 'a' is such that a=wt
where w is angular velocity and a is a function of t
and an object is sliding down that plane then...
if m is the mass of the object
m(dv/dt)=mgsin(wt)
solving for v i got
v=(-gcos(wt)/w)
Why is the velocity...
Homework Statement
An older gentleman drags a wooden crate (m = 10 kg) containing his childhood toys out of storage. The 120 N force F that he applies on the crate makes an angle of 30° with the horizontal. The coefficient of kinetic friction μk between the well-polished floor and wooden crate...
I can work out the acceleration of a block that will take along the plane when the axes are the ones along and perpendicular to the inclined plane. But, when I choose a horizontal and vertical axis I end up with the same mistake as this guy in this thread did...
I know that force parallel (the force of the block down the inclined plane) in this case should be mgSin(theta), but why is the derivation in the picture wrong? According to that triangle could it not be mg/(Sin theta)?
Homework Statement
Block of mass mA = 2kg - lying on frictionless inclined plane with a slope of 20 degrees.
connected to mA via frictionless, massless pulley and massless cord... mB = 3kg
http://img152.imageshack.us/img152/8286/imag0103l.jpg
Homework Equations
F= Mass *...
Homework Statement
A block is given an initial speed of 3m/s up a 22° inclined plane. How far up the plane will it go? How much time elapses before it returns to its starting point?
Homework Equations
D = 1/2at2
a = Δv/t
Vf2 = Vi2+ 2a*d
The Attempt at a Solution
The Vy is 1.12m/s...
Simply, what the title sugests, would going downhill on inclined plane be considered a simple machine? If so, how is this decreasing the amount of force needed?
Homework Statement
A box is hurled up an incline plane of 20 degrees at 10m/second. There is no friction. What is the velocity after 3 seconds. I know gravity and the sin of 20 degrees has to be factored in.
Homework Equations
v=u+at. u is initial velocity, v is velocity after 3...
Homework Statement
Body A in Fig. 6-33 weighs 96 N, and body B weighs 88 N. The coefficients of friction between A and the incline are μs = 0.54 and μk = 0.24. Angle θ is 42°. Let the positive direction of an x-axis be down the slope. What is the acceleration of A if A is initially (a) at...
Homework Statement
A cable is pulling a 200kg block up an inclined plane elevated at 30 degrees with 3.5KN of force. How fast is the block accelerating at?
θ = 30
g = 9.81
m = 200kg
μ = 0.35
F = kN
Homework Equations
F = ma
The Attempt at a Solution
Wasn't sure how to do this problem, I...
Homework Statement
Problem:
"On the 50 degree ramp below an empty barrel is sliding up it to get filled at a factory. The empty barrel has a mass of 24kg and has an initial velocity of 1.2m/s. The kinetic coefficient of friction between the barrel and the ramp is μ =0.48 Finally a...
I am a stagehand and I was just doing a job yesterday involving running crates on wheels up a ramp to the loading bay. I thought it would be interesting if I could make a physics equation out of it and determine the amount of work I did.
Homework Statement
If I want to determine how much...
Homework Statement
The situation is indicated in the diagram below. Block m is at rest, and the block M has an initial velocity upward. Need to find the Lagrangian of this system, and then the Euler-Lagrange equations.
The Attempt at a Solution
This is the Lagrange that I came up with...
What is the moment of inertia of a rectangular plate making an angle except right angle or multiple of right angle with it's axis which is passing through the centroid of the plate?
I have been using the formula a = g sin(theta) to process my data I am however pretty sure something is wrong. I doubt it is my data that is wrong, even though when I look at them they look weird in the sense that I would think that after one second the acceleration should have been doubled...
A wedge with face inclined at an angle theta to the horizontal is fixed on a rotating turntable. A block of mass m rests on the inclined plane and the coefficient of static friction between the block and the wedge is μ. The block is to remain at position R from the center of the turntable, as...
Homework Statement
Monochromatic beam of incident light on the surface of the glass wedge,
whose upper edge is inclined at an angle of γ = 0.05 ° from the base. In reflected light
observe a number of interference fringes, the distance between adjacent
dark streaks is △X = 0.21 mm. Calculate...
Hi guys
can you help me with this question? any hint is helpful..
an object of weight of 10 kg is to be raised 2 m off ground. there's an inclined plane for it with a freely chosen angle. How much work must be applied for the plane with 0.5 friction when after 1 m , the object its...
Homework Statement
A solid sphere of mass 3.00 kg and radius 12.5cm rolls without slipping down an incline of
angle 13.5 degree for 250 m. Find the minimum coefficient of static friction required for a
rolling without slipping. What is the velocity of the center of the sphere at the bottom...
1.) if there are two blocks of different masses rolling down an inclined plane, will their velocity be same? if so then how? there's no friction between the plane and the blocks.
2.) there is a plastic boat in a tub, filled with metal rods. if the metal rods are taken out of the boat and put...
Homework Statement
A 3.0kg solid cylinder (radius=.15m, length=.7m) is released from rest at a top of a ramp and allowed to roll without slipping. The ramp is .9m high and 5m long. Find the rotational and translational kinetic energy.
Homework Equations
krot=1/2Iw^2
Ktrans=1/2mv^2...
A Black Garden Ant is seen dragging a caterpillar with mass = 1.5g = .0015 KG
the ant manages to accelerate the caterpillar at 1mms^-2
Assume that friction between the caterpillar and the ground can be ignored.
(a) What force has the ant applied to cause this acceleration?(b) The ant bites...
In this problem they show a diagram of a pulley system with an inclined plane (25 degree incline). There is a box called m1=47kg resting on the incline plane and m1=35kg hanging on the vertical line. The question reads: The coefficient of friction between m1 and the surfvace of the inclined...
This is an even-numbered problem in my textbook that I'm looking at early though it hasn't been taught by my lecturer yet, because I need to know the concepts underlying it for a similar problem. Cld someone help me?
Homework Statement
Consider the case of a hollow cylinder rolling down a...
*****Homework Statement ****
Two blocks, A and B, are sliding down an inclined (20 degrees) plane. Block A is sliding in front of block B with both of them touching. The blocks slide from a distance of 6.50m from the bottom (along the inclined plane, not the surface the plane rests on)...
Homework Statement
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...
Homework Statement
Mass M1 (6.58 kg) is on a rough inclined plane that makes an angle θ = 59o with the horizontal. The coefficient of kinetic friction between M1 and the incline is μk = 0.18. A rope is attached to M1, passes over a frictionless pulley, and is attached to mass M2 = 7.30 kg...
Homework Statement
A block of ice of mass m slides down an incline that makes an angle θ = 40.7° with the horizontal. In trial 1 there is no friction; the block starts at rest and takes time t to reach the bottom of the incline. In trial 2 there is friction, and the the block slides down the...
Homework Statement
A 900 kg car goes up along an inclined road by 30 degrees characterized by an acceleration of 0.25 m/s^2. If friction coefficient is 0.5, find the magnitude of the force that moves the car.
Solution: F = 12285.6 N
Homework Equations
The Attempt at a Solution...
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...