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 uniform solid sphere,rolls without slipping on a horizontal surface with an angular velocity \omega,meets a rough inclined plane of incination 60(degrees).The sphere starts pure rolling up the plane with an angular velocity.Find the new angular velocity .
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Quick PLEASE help :(
Homework Statement
A car can decelerate at -4.80 m/s2 without skidding when coming to rest on a level road. What would its deceleration be if the road were inclined at 13\circ uphill? Assume the same static friction coefficient.Homework Equations
Ff=\muSFNThe Attempt at a...
Homework Statement
I have a question on pure translation of inclined bar. The problem statement is:
A homogenous slender bar with a mass of 4 kg and a length of 500mm being pushed along the smooth horizontal surface by a horizontal force P=60N. Determine the angle θ for translation. What is...
Homework Statement
A body falling from rest from given height H hits an inclined plane in its path at height. As a result of this impact the direction of velocity of the body becomes horizontal. For what value of h/H will body take max time to reach the ground?
ANS) h/H = 1/2
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Homework Statement
An 18kg cart is connected to a 12kg hanging block at the bottom of the incline (ignore friction)
What is the magnitude of acceleration of the cart?
Homework Equations
F=ma
Fx=Fgsinx
Fy=FgCosx
The Attempt at a Solution
well without the hanging...
I have a question on pure translation of inclined bar. The problem statement is:
A homogenous slender bar with a mass of 4 kg and a length of 500mm being pushed along the smooth horizontal surface by a horizontal force P=60N. Determine the angle θ for translation. What is the accompanying...
Homework Statement
A 20-kg package is at rest on an incline when a force P is applied to it. Determine the magnitude of P if 10s is required for the package to travel 5m up the incline. The static and kinetic coefficients of friction between the package and the incline are both equal to 0.3...
Homework Statement
A 2.0 kg block rests on a frictionless wedge that has a 60 deg incline and an acceleration \vec{a} to the right such that the mass remains stationary relative to the wedge. a) Draw the free-body diagram of the block and use it to determine the magnitude of the...
Homework Statement
In anticipation of a long 7° upgrade, a bus driver accelerates at a constant rate of 3ft/s2 while still on a level section of the highway. Knowing that the speed of the bus is 60mi/h as it begins to climb the grade and that the driver does not change the setting of his...
I'm having problems of calculating the acceleration and velocity of a cart traveling down an inclined plane. I also need help calculating Sin theta. I've used 2 formulas to try calculating the acceleration and i get different answers. the first formula is a=2s/t2(squared), the 2nd formula was...
Homework Statement
A block is given an initial speed of 3.0m/s up a 22 degree plane.
a.) How far up the plane will it go?
b.) How much time elapses before it returns to the starting point?
no friction btw
Homework Equations
Assuming that...
Homework Statement
So I have this standard problem of a cylinder rolling down an inclined plane, however, this time the plane itself is free to slide on the ground. I need to find the acceleration of that cylinder relative to the plane.
2. The attempt at a solution...
Homework Statement
Figure 5-60 shows a box of dirty money (mass m1 = 2.7 kg) on a frictionless plane inclined at angle θ1 = 28°. The box is connected via a cord of negligible mass to a box of laundered money (mass m2 = 2.4 kg) on a frictionless plane inclined at angle θ2 = 64°. The pulley is...
Homework Statement
I have a beam on an incline at angle θ. It is uniformly loaded with "W", which represents the self-weight of the beam. Reactions occur at each end. The beam is simply supported. The scenario is drawn out below:
The Attempt at a Solution
This problem seems so...
I just have a quick question. I know that at least some amount of friction is required in order for a ball to roll down an inclined plane and not just slide. My question is about the work done by friction in this situation. Is all of this energy converted to rotational kinetic energy or is there...
Homework Statement
(Figure attached to post)
A box of mass m is pressed against (but is not attached to) an ideal spring of force constant k, compressing the spring a distance x. After it is released, the box slides up a frictionless incline as shown in Fig. 7.5 and eventually stops. If we...
Homework Statement
A Glass of water is freely sliding down an inclined plane. The water surface has settled down after some initial disturbances. Which of the three cases is possible for the shape of the water surface:
1) It will remain parallel to the incline
2) The water surface will rise...
First time post, so sorry if this is in the wrong section. I've been working my way through Morris Kline's "Calculus" this summer to get ready for college next year, and I have hit a bump on a problem involving an inclined plane. In this problem the question is as follows: "An object slides down...
Homework Statement
An Object with a mass of 10.0kg is at rest at the top of a frictionless inclined plane of length 8.00m and an angle of inclination 30.0 with the horizontal. The object is released from this position and it stops at a distance d from the bottom of the inclined plane along a...
Hello. Can someone help me with this problem please?
An inclined plane of angle theta = 20.0 has a spring of force constant k=500 N/M fastened securely at the bottom so that the spring is parallel to the surface as shown in figure P7.63. A block of mass m = 2.50 kg is placed on the plane at a...
Homework Statement
Assume you are on a planet simillar to Earth where the acceleration due to gravity is 10 m/s2. A block of mass 15 kg lies on an incline plane. The height of the incline in 9m and the width is 12m. The coefficient of kinetic friction is .5. The magnitude of the force...
During revision for an exam I have tomorrow I came across a question that left me confused, and I wasn't entirely satisfied with my teacher's explanation today. I'm worried something of the sort may come up in the exam and I won't be entirely certain how to deal with it.
We have a plane...
Homework Statement
So rigid body (ring, cylinder, sphere), who's radius of gyration is known, rolls down an inclined plane without slipping. Find velocity as a function of height.
m - mass of the body. y0 - initial height, g - gravitational acceleration, v - speed. I - moment of inertia, K -...
Homework Statement
A particle with mass m slides down from rest on a smooth plane inclined at an angle of theta with the horizontal . The particle, besides subjected to gravity experiences a resistive force of magnitude mkv ,with v as its velocity at time t and k as a positive constant. Show...
acceleration of the inclined plane ?
Homework Statement
A block of mass m is placed on an inclined plane. the angle of inclination is θ. now i want to understand in which direction (horizontal) the plane should be accelerated so that the block on it doesn't move.
Homework Equations...
The owner of a warehouse ask an engineer to design a ramp which will reduce the force necessary to lift boxes to the top of a 1/2 m step. If there is only room enough for a 4 m ramp, what is the maximum factor by which the lifting force could be reduced?
I am not sure how to find the...
Consider the classical physics problem of a cube sitting atop a frictionless inclined plane. Of course, this cube will accelerate down the plane with acceleration dictated by F = mgsin(theta), where theta is the angle between the inclined plane and the horizontal surface.
Easy enough.
Now...
Homework Statement
A hollow cylinder with a mass of 1.2 kilograms and a diameter of .25 m rolls down an inclined plane angled at 35 degrees. What is its translational velocity at the bottom of the incline plane if the distance traveled is 3 meters?Homework Equations
v=\sqrt{gh}
?
The Attempt...
Homework Statement
List 2 major factors result in an efficiency of less than 100% when using an inclined plane to raise a mass
Note - this is a grade 11 lab so don't have answers that are too advanced please :DHomework Equations
eff = eout/ein x 100%
... = mghf/fd x 100%The Attempt at a...
Homework Statement
A block with mass m = 5.00 kg slides down a surface inclined 36.9 to the horizontal. The coefficient of kinetic friction is 0.25. A string attached to the block is wrapped around a flywheel has mass 25.0 kg and moment of inertia 0.500 kgm2 with respect to the axis of...
Homework Statement
How do you find the effort force of pulling a cart up a ramp with no friction and you know that the weight of the cart is 7.6734 N?
Homework Equations
W=F\DeltaXcos\theta
Efficiency=(work output / work input) x 100
The Attempt at a Solution
My main goal is to...
I can do vertically submerged fluid force problems. One portion of my book says:
If a flat surface is immersed so that it makes an angle of 0 \leq \theta \geq \frac{\pi}{2} with the vertical, then the fluid force on the surface is given by:
F=\int^b_a \rho h(x)w(x)sec\theta dx
Can someone...
I've seen a number of posts on the following question, but don't believe any contain a solution to the following very simple scenario:
A sphere of radius r and mass m rolls down a plane inclined at theta degrees. What are its linear and angular velocities at any time t thereafter, assuming it...
Block of mass M between two strings on incline?
A block of mass M rests on a frictionless inclined plane of angle θ as shown in the diagram below. Two springs of equal length are connected to the block and to two posts as shown. The separation between the posts is equal to the sum of relaxed...
Homework Statement
How is angle of incline related to the acceleration of the car moving down it?
I know how to find both the velocity and acceleration of a car moving down a track using the suvat equations. I don't understand the relationship between angle of incline, velocity and...
Homework Statement
A box weighing 20 kg is on an inclined plane with an angle of 30\circ.The coefficient of friction is 0.3. What is the acceleration of the box?Homework Equations
Newton's Second law ( I think? )
g= 10 m/s2
The Attempt at a Solution\sumy = 0
NF - Wysin30\circ = 0
NF...
Homework Statement
Block 1 of mass m1=2.0kg and block 2 of mass m2=3.0kg are connected by a string of negligible mass and are initially held in place. Block 2 is on a frictionless surface tilted at theta = 30 degrees. The coefficient of kinetic friction between block 1 and the horizontal...
Homework Statement
An inclined plane at 30.0° is 4.9 m long. A book which has a coefficient of kinetic friction with the inclined plane of 0.16 is placed at the top and immediately begins to slide. How long will it take for the book to reach the bottom of the incline?
Homework Equations...
I'm working on a problem in which a block sits on an inclined plane of angle @ above the horizontal. Assuming there is no friction, the block will slide down the plane with a force of mg*sin(@). The trouble I'm having is figuring out the horizontal and vertical components of that force...
Homework Statement
a constant force Fa of magnitude 85.0 N is applied to a 4.0 kg shoe box at angle φ = 53.0°, causing the box to move up a frictionless ramp at constant speed. How much work is done on the box by Fa when the box has moved through vertical distance h = 0.45 m?
heres the...
A friend asked me how to solve this problem:
There is a trolley of mass M_{o}kg on a fixed inclined plane, whose angle of inclination is \theta. The block is at a height Hmetres, at the top of the inclined plane. Coefficient of friction is \mu. It is also known that it is raining, and the...
Homework Statement
We have an inclined cylinder, something like a funnel, which rotates around its symmetrical axis. A mass (m) resides on the wall of this cylinder and rotates with the cylinder. Now the angular velocity of the cylinder increases. Whether the Newton laws (or else) can...
Homework Statement
A)What is the minimum work needed to push a 1610 kg car 302 m up a 15 deg incline? Ignore friction.
B) Assume the effective coefficient of friction is 0.25.
(I have part A, the answer is 1.23x10^6 J)Homework Equations
Force of Friction = \mu x Normal Force
Work = Applied...
So, my physics teacher has made this VERY confusing.
We use vectors. But for some reason I keep wanting to think the resultant vector is the ultimate vector for magnitude and direction of force,speed acceleration w/e. But for some reason I'm not seeing that
Normal force is the force that...
Homework Statement
A box is sliding up an incline that makes an angle of 15 degrees with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is .180. The initial speed of the box at the bottom of the incline is 1.50 m/s. How far does...
A block of mass m is on a frictionless inclined plane with no initial speed.
The net force which equals to the component of the block's weight along the inclined plane, acted through the block's centre of mass, so there is no torque acted on the block, so the block does not rotate and just...
Homework Statement
A small sphere is released from rest and after falling a vertical distance h freely under gravity, bounces on a smooth inclined plane ( at an angle theta less than 90 degrees to hotizontal ). Given that there is no energy loss on impact, in what direction will it move...
Homework Statement
A 3kg load on an inclined plane of angel 30 degrees is connected by a cord over a frictionless pulley to a second load which has a mass of 2 kg. Find the:
a) Acceleration of each load
b) tension of each chord
Homework Equations
none?
The Attempt at a...
Homework Statement
The included image shows the problem in its entirety. The problem is from a physics review book that I have which also includes the answer, but the explanation is beyond me. I was hoping someone could walk me through the solution.
T, the rope tension (constant...
Homework Statement
A small sphere is dropped from rest at a height 'h' above a plane inclined at an angle θ to the horizontal ( < 90degrees ). Given that the sphere loses no energy on impact, show that the distance down the plane between this impact and the next is 8hSinθ.
Homework...