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.
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So the problem that I have been assigned has formulas of rotational energy, momentum, trajectories, inertia, and inclined planes. A solid sphere is rolling down an inclined plane (that is placed...
I am working on a problem in which viscous flow comes out from an inclined tube, forming some kind of a fountain. In the tube the fluid is Newtonian and the flow can be treated as Poiseuille flow. I want to study the movement of the fluid after it leaves the tube. Can someone point me about the...
A 1.54 kg green toy car accelerates at 1.70 m/s² down a ramp 3.38 m long. If the force of friction acting on the toy car is 1.31 N, how much work is done on the toy car to get it to the bottom of the ramp?
Formulas:
Ep=mgh
W=fd
F=ma
a=gh/d
Fr=u*Fn
I know the acceleration, mass, and distance...
A body is capable of remaining stationary inside a liquid in a closed box (that means its density is same as that of liquid) . If the whole system is placed on inclined plane and allowed to slide down then:
1. body moves up relative to liquid
2. moves down relative to liquid
3. stationary wrt to...
Homework Statement
Hello all,
I am trying to find the deflection of a hydraulic cylinder at point A (refer the attached).
There are two hydraulic cylinders, with certain distance apart. On top of it is a beam that is inclined to the horizontal by 12 degrees. The piston is operated by two...
http://file://localhost/Users/pablotano_94/Downloads/IMG_20141205_183228102.jpg 1. Homework Statement
Assume that the friction coefficient (both static and dynamic) is ¨u¨.
a) What is the maximum slope yo can get in order that the bench does not slide?
b) What is the maximum slope yo can get...
I am having trouble on one of my homework problems. The problem is
What is the acceleration of the system if M1 is 5 kg and M2 is 4kg and the coefficient of friction between M1 and the table is 0.20? There is an image along with the problem. Basically it is just like a standard inclined plane...
Homework Statement
First of all, here is how it goes: an object with a starting velocity of 3 m/s reaches the height of 0.3m (inclined plane) and then it "stops" and slides down. What will be the velocity when it reaches the bottom of the inclined plane ?
(Sorry if the terms are wrong, English...
Homework Statement
An inclined plane, fixed to the inside of an elevator, makes a 32 degrees angle with the floor. A mass m slides on the plane without friction. What is its acceleration relative to the plane if the elevator accelerates upward at 0.50g?
Homework Equations
F = ma
The Attempt...
Hello folks. After a while lurking I've finally got a problem that I need some help with!
1. Homework Statement
I'm designing an adaptor for a drinks optic and have translated one of the aspects of the design into the following problem. There is plenty of stuff on the net about simple...
Homework Statement
An m1 = 7.6 kg block and an m2 = 10.7 kg block, connected by a rope that passes over a frictionless peg, slide on frictionless incline. Find acceleration of boxes and tension of the rope.
Homework Equations
F=ma
I'm not sure what else
The Attempt at a Solution
I'm really...
Homework Statement
A cylinder on a inclined plane is rolling without slipping. Inclined plane is connected to wall with a spring and cylinder is connected to wall with a spring too. All frictions will be neglected, and all the given data has shown on the image below.
As seen above, k2 spring...
If I have a ramp that is 1.143 meters long, and I need to make it incline at a certain angle and height to make sure the acceleration is .5 m/s^2, how would I go about doing that without taking friction into account and without weighing anything?
Homework Statement
1st example:
A 10 kg block is pushed up a ramp at a constant speed of 5.7 m/s. The ramp makes an angle of 30 degrees to the horizontal and the ramp is frictionless. The block is released and allowed to slide up the ramp until it stops. What is the magnitude of the...
Why would the coefficient of kinetic friction be larger for an inclined plane versus a horizontal plane?
Would it be related to the material? I thought initially it was something to do with the force of gravity… but apparently that's not it :(
Thanks so much in advance!
Homework Statement
A small ball rotates in a vertical loop of radius R. it's velocity is the minimal required to stay in the loop.
Now the loop is cut at an angle ##\alpha## and the ball shoots out of it.
Express ##\alpha## so that the ball falls back into the loop and continues turning...
Homework Statement
A block of mass m is held in place on a ramp of mass M with a slope of angle θ, which in turn is held in place as shown in the figure below. The ramp is free to move on the surface beneath it. There is no friction anywhere. The block and the ramp are then released. Derive an...
(The degrees is 35.8)
So far I thought that i'd solve it like this:
Weight of block W = mg
Component of W parallel to slope = Wsinθ
Component of W perpendicular to slope = Wcosθ
Call R the normal reaction force of the slope on the block.
In the direction perpendicular to the slope, the...
Homework Statement
A block with a mass of 1.137 kg is placed at the top of an inclined plane. The plane is d = 2.592 m long. The angle θ the plane makes with the horizontal can be adjusted, changing the height of the top of the plane.
The lower half of the plane has a rough surface with...
Homework Statement
A Torricellian tube (one end open, one end closed) of 1m length is filled completely with mercury and situated vertically the closed end down. Then the tube is flipped around 180 degrees and there is 760mm of mercury left. If we incline the tube at an angle \phi , what is...
if a ball of mass m were to strike an fixed incined plane of 45degress with velocity of 3m/s, and was rebounded horizontally, what would be the velocity of the rebounded ball.(elastic collision). this the method i have tried.
momentum of the system along the x-axis is conserved.therefore...
When resolving all of the VERTICAL forces in a block that is being pushed up an incline with some incline amount theta, then when PUSHING with force P at an angle of alpha on the block, then the vertical component of force P is sin (alpha) * P in the downward direction (opposite of the Normal...
Suppose a force F is acting downwards on an object sitting on a plane that is inclined 45 degrees to horizontal. express the force as a sum of a force acting parallel to the plane and on acting perpendicular to the plane
I figured I need to use ||F||cos 45i+ ||F||sin 45j
and the...
Homework Statement
A cylinder of mass M and radius R, with moment of inertia:
I_c = \frac{1}{2}MR^2
rolls down without slipping through an inclined plane with an angle of θ, while pulling a block of mass Mb with an attached frame (of insignificant mass) which is connected to the axis of...
Homework Statement
A block takes 3 times as long to slide down an inclined plane that makes an angle of 30 degrees as it does to fall freely through the same vertical distance. Determine the coefficient of friction.
Homework Equations
F=μN
The Attempt at a Solution
I do not know...
Homework Statement
My last inclined plane problem has a second part to it: There are some energy problems I need to solve.
A double pulley consists of two separate pieces that are welded together; a hoop of radius 10.0 cm and a disk of radius 15.0 cm. The moment of inertia of the pulley is...
Homework Statement
A double pulley consists of two separate pieces that are welded together; a hoop of radius 10.0 cm and a disk of radius 25.0 cm. The moment of inertia of the pulley is 0.160 kg-m^2. A 15.0 kg block (m1), on a 35.0° incline, is attached to the outer pulley by a massless...
Homework Statement
A block is placed on a plane inclined at an angle θ. The coefficient of friction between the block and the plane is µ = tan θ. The block is given a kick so that it initially moves with speed V horizontally along the plane (that is, in the direction perpendicular to the...
Inclined throw -- motorcycle jumps from the ramp
Homework Statement
The motorcycle jumps from the ramp. what is the minimum speed at the edge in order to reach the other side.
Homework Equations
Constant acceleration: V=-gt
The Attempt at a Solution
The time to reach height of 1.5 meters...
Problem: a 1200-N go-cart is being pulled up a 25 degree incline by a rope that makes an angle of 35 degrees with the horizontal. Neglecting all frictional effects, determine the tension in the rope necessary to pull the cart up the incline at a constant speed
Relevant equations:
Sum of the...
Homework Statement
I've been stuck on this problem for hours now. I know it has to be somewhat simple, but I am not too great in physics, so I am asking for help on how to complete this problem.
Two blocks are positioned on surfaces, each inclined at the same angle 50 degrees with respect...
Homework Statement
A skier, mass m = 85 kg including skis, poles and clothes, skis directly down a slope with an angle Φ = 21° to the horizontal. His body is rigid, the poles are not touching the snow. He is traveling at a constant speed of 71 kph in a straight line. The coefficient of...
Homework Statement
I am basically designing a rotary drum dryer and need to know the positions of the bearings for the dryer to be stable.
The drum is of length 17 m with diameter 3.24 m, inclined at 2° rotating at 3.24 rpm. I need to find the distance X and OY. (Given that Y passes through...
Consider the configuration below shown in the attached picture!
The wedge can slide on the inclined plane and the cube on the wedge.Their motion is described by x_1 and x_2 respectively. There is no friction and the inclined plane doesn't move.
Here's the Lagrangian of the system...
Homework Statement
Last week we did a practical in which we bounced a ball from the same point onto an inclined ramp, from 10-50 degrees and measured the distance from where the ball was dropped and when it hit the table (i.e. place where it landed after it bounced off the ramp).
Homework...
Homework Statement
A block of mass m=18kg is pushed horizontally with a force of Fp=150N up an inclined plane of angle θ=32° and coefficient of friction of μ=0.10, a distance of x=5m. a) What is the work done by Fp. b) Work done by the gravitational force. c) Work done by the normal force...
two cylinder conected, by two roads, rolling down an inclined plane. Find equation of motion and tension of roads.
I know that the lagrangian is:
0.5 m \dot{x}^2+0.5 I_1 \dot{\theta}^2++0.5 I_1 \dot{\theta}^2+mgx\sin \alpha + mg(x+l)\sin \alpha
¿ is good my lagrangian?, ¿how is present...
My question and attempted solution are in the pics below...not sure if what I did was correct though :/
I was thinking that the work done would have been equal to PE+Change in KE + Energy Lost to friction...but not sure how to calculate the energy lost to friction as I'm not sure if it has to...
Homework Statement
A cyclinder of mass m and radius r is rotated about its axis by an angular velocity ω and then lowered gently on an inclined plane as shown in figure. Then:
(a) It will start going upward.
(b) It will first go up and then downward.
(c) It will go downward just after it is...
Homework Statement
A block slides down an inclined plane of slope angle (theta) with constant velocity. It is then projected up the same plane with an initial speed v(knot).
(a) How far up the incline will it move before coming to rest?
(b) Will it slide down again?
Homework...
Homework Statement
Okay, So I Have A Physics Packet That My Teacher Handed Out On Inclined Planes. I Was Not There So I Do Not Know How To Complete The Table. I Have To Complete A Chart. The Chart Gives Me The Length Of The Incline, The Height, & The M.A. . I Know How To Calculate The M.A...
Homework Statement
Here, have a diagram I made!
The problem is to find the moment about the midpoint of the bar when it is horizontal, given that the right end is moving in towards the frictionless slot at a velocity v. Gravity and friction are neglected in this system. If you want...
When rolling on a flat floor when the velocity at the circumference equals the velocity at the centre of mass the friction stops acting right? SO why does't that happen when it is rolling down an inclined plane? If it is rolling shouldn't the point in contact with the inclined plane be...
This is driving me nuts. What am I missing?
Suppose you have an inclined plane with a mass m resting on it. The free body diagram for the mass m has F_grav downward and F_normal perpendicular to the surface of the inclined plane. Thus, by Newton's Second Law, you have:
∑F=F_grav+F_norm=ma with...
Homework Statement
A block of 5 kg is on plane that is inclined of 37°, an outward (It is not directed toward the plane but it drags the the block horizontally away) horizontal force of 50 N is applied on the . The friction coefficient of that plane is 0,30.
What is the total force that is...
Homework Statement
10kg block on a inclined plane (32degrees) (frictionless) and an applied force 120N horizontally. What is acceleration?
Homework Equations
Fnet = ma
The Attempt at a Solution
mgsin32 = 51.9N (from mg)
From applied force, in the same plane, we have xcos32=120...
1. Hi,
I'm a computer engineering graduate. I'm developing a computer game similar to Soundrop (Apple). The situation is: balls fall vertically down under the effect of gravity. There are various inclined planes in the frame (of known angle of inclination). There could be multiple...
Homework Statement
What is the mechanical advantage of a staircase that is 10 meters long (horizontally) and 5 meters high (vertically)?
Homework Equations
MA=Length/Height
The Attempt at a Solution
MA=2.2
I'm certain that this is the answer my teacher is looking for, but it...
Homework Statement
A 1.00-kg aluminum block and a 4.00-kg copper block are connected by a light string over a frictionless pulley. The two blocks
are allowed to move on a fixed steel block wedge (of angle 31.0°). The aluminum block is on the left side, on a flat plane. On the right is the...