SPRING is a freeware GIS and remote sensing image processing system with an object-oriented data model which provides for the integration of raster and vector data representations in a single environment. It has Windows and Linux versions and provides a comprehensive set of functions, including tools for Satellite Image Processing, Digital Terrain Modeling, Spatial Analysis, Geostatistics, Spatial Statistics, Spatial Databases and Map Management.
SPRING is a product of Brazilian National Institute for Space Research (INPE), who is developing SPRING since 1992, and has required over 200 man-years of development and
includes extensive documentation, tutorials and examples. More than 70,000 users from 60 countries have downloaded the software, as of January 2007.
Homework Statement
We have a mass m at x = 0 attached to a spring with spring constant k which is moving at constant velocity v such that the position of the spring is described by X = l + vt where l is the equilibrium length of the spring. Solve for the motion of the mass.
Homework...
Homework Statement
Two masses A, and B both sit on a vertical spring. If the spring is compressed then released, why do A and B rise to the same height? (the mass of A is greater than that of B)
Homework Equations
P = mgh
S = 1/2kx2
K = 1/2mv2
The Attempt at a Solution
Both masses rise to the...
I need to find the work done with springs but I don't understand this equation too well, can someone help me know what are each variable and how to find each of them?
WH - fF*d = ΔK + ΔUs + ΔUg?
I know that "WH" is the work done by the hand and that "fF*d" is force of friction * displacement...
Homework Statement
Hi everyone! Here is a new problem about oscillations! Thx to all of you, I'm definitely making progress in the field. Let's see how that problem goes:
A pendulum of mass m is hanging on a string of length L and is "pushed" by a spring with spring constant k. At the deepest...
It's not a homework/coursework question but I did get the system from my textbook.
http://puu.sh/o03h7/32cdf7cffb.jpg
I solved the question by analyzing the system at different stages. Initially both objects are moving with a velocity and having some mass so their kinetic energies are the...
centrifugal force apply force to spring while it spinning, how to calculate it's compression. there is no any attached mass on spring. just centrifugal force depends on RPM. weight of spring is important, centrifugal force is changing by radius, so it's not uniform.
Homework Statement
Suppose is a 10kg block sitting at rest on the ledge of a building 20 meters tall. The 10kg block applies a Force of F = ma = 10kg(10m/s^2) = 100N. The potential energy with reference to the ground would then be PE = mgh = 10kg(10m/s^2)(20m) = 2000J.
If the 10kg block is...
Homework Statement
Hi everybody!
Two masses m1 and m2 are connected with a spring one after the other to a wall (see attached picture). The spring constants are k1 and k2. To consider here are only longitudinal oscillations and no external forces.
a) Express the Newtonian equations of motion...
Homework Statement
Ok so here is the prompt: a 3kg object is fastened to a light spring over a pulley. The pulley is frictionless and its inertia may be neglected. The object is released from rest when the spring is unstretched. If the object drops 0.1 meters before stopping, find the spring...
Homework Statement
Hi everybody! I'm trying to solve a basic problem about oscillations, but I struggle to get everything together when it comes to the differential equation...I hope someone can help me to understand it better :)
A thin bar of mass m and length l is pivotable about its...
Homework Statement
A 1.5 inch spring is .75 inches at solid length when fully compressed. The spring force is rated at 400 lbs per inch. A 3 kilogram mass will be pushed by the spring. What is the velocity of the mass at the instant the spring has fully decompressed. It will take the spring...
Homework Statement
You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1100 kg car moving at 0.66 m/s is to compress the spring no more than 9.0×10−2m before stopping.
What should be the force constant of the spring? Assume that the spring has negligible...
The equations I'm getting when I solve the differential equations seem to imply that the amplitude of oscillation does not vary in time.
For example, if I have
x'' + ω02x = cos(ωt)
If we suppose that ω≠ω0,
then the general solution should look something like:
x(t) = c1cos(ω0t) + c2sin(ω0t)...
Homework Statement
The mass of block A is 10kg. The block is at rest and the spring has a K = 25N/m is unstretched when the block is in the position as shown. One second after the block is released, find the acceleration and velocity of the block and the tension in the cable. My teacher gave us...
In my current time frame for graduating I will be finishing in the Fall of next year. I'm scared because I know a lot of graduate programs don't take people starting in the Spring, so would it be better if I waited an extra semester, maybe take a graduate course or something?
By squeezing a spring until it coils up, it then has more potential energy. So it will then have more mass, because mass is energy. So doesn't that violate the law of conservation of energy. The spring has more energy and mass after its squeezed than when it wasn't squeezed?
Awhile back, I was learning about springs, and restoring/distorting force. We even did an experiment where we hung a spring and put weights on it and pulling it down, watching it oscillate.
From this, I assumed the distorting force was the force that stretched the spring and restoring force is...
Homework Statement
A 50-gram mass is accelerated from rest be a compressed spring (k = 1800 N/m), sending it on a journey along a frictionless loop-de-loop of radius 0.324 m. What minimum amount of initial compression of the spring is required if the mass is to remain in contact with the track...
Homework Statement
my spring constant is 85 N/cm and I have to convert to N/m
Homework Equations
why does stoichiometry not work on this? How would I approach conversions like this?
The Attempt at a Solution
I tried converting the 85 N/cm to N/m and ended up getting 85*10^2 N/m. This was...
Homework Statement
Spring connected to a pendulum holding a ballwith mass m, length l, spring constant k, spring deflection x, angle of pendulum alpha, angular velocity w.Homework Equations
Derive the angular acceleration
The Attempt at a Solution
I made the three body diagram, and find that...
Imagine a spring that has its two ends attached to a wall at the same height. The spring will adopt a kind of a ''U'' shape (maybe a parabollic shape would be more precise). Why are the coils near the wall more distant from each others than the coils at the middle of the spring ? I think it is...
Homework Statement
A spring of unstretched length l has a mass m with one end fixed to a rigid support. Assuming spring to be made of a uniform wire, the kinetic energy possessed by it if its free end is pulled with uniform velocity v is?
2. Homework Equations
potential energy stored in a...
Homework Statement
Homework Equations
ΔUelastic = 1/2(kxf2) - 1/2(kxi2)
ΔK + ΔUg + ΔUelastic = 0
The Attempt at a Solution
a) I used ΔUelastic = 1/2(kxf2) - 1/2(kxi2) and found xf - 0.126 m.
b) Should I use ΔK + ΔUg + ΔUelastic = 0? I am unsure where to start for this one. How do I go about...
Homework Statement
I reference the problem posted here: https://www.physicsforums.com/threads/work-and-spring-problem.194531/
Homework Equations
Work = Force * Distance
F = kx
The Attempt at a Solution
Wouldn't the limits of integration in part 2 be from 5 to 9, since x is the compression...
Homework Statement
The masses C, of magnitude 2m, and B, of magnitude m, move with velocity V and hit a stationary mass A of magnitude m. the collision lasts a very short time and is plastic but the masses don't stick together. the spring with constant k is ideal and the surface is smooth...
Homework Statement
If I found how much it stretches, do I just add it to the original length I started with to find total new length?
For instance, the original length was 1.168m and I found x to be 0.90m, do I just add them together for the total length?
Homework Equations
F=kx
The Attempt...
Homework Statement
A block of mass 1 kg is attached to a spring. The spring extends by 10 cm. Find spring constant.Homework EquationsThe Attempt at a Solution
Potential energy of spring = kx2/2
work done by block = PE
Hence
mg*x=kx2/2
∴1*9.8*0.1=k*0.1*0.1/2
∴k=196N/m
But solution says
mg = kx...
Homework Statement
The collar has a mass of 30 kg and is supported on the rod having a coefficient of kinetic friction of 0.4. The attached spring has an unstretched length of 0.2 m and a stiffness of k =50 N/m. Determine the speed of the collar after the applied force F= 200N causes it to be...
Homework Statement
A massless spring with force constant k = 200N/m hangs from the ceiling. A 2.0 kg weight is attached to the free end of the spring and released. If the weight falls 17 cm before starting back upwards, how much work is done by friction during its decent? (Note: choose ground...
Homework Statement
When an 98.0-g piece of toast is inserted into a toaster, the toaster's ejection spring is compressed 7.20 cm. When the toaster ejects the toasted slice, the slice reaches a height of 3.4 cm above it's starting position. What is the average force that the ejection spring...
The attached picture sums up my experiment. I used a slinky (a kind of a bouncing spring) to see the relationship between its maximum length when released and the length of its first rebound. However, I released the slinky using various different magnitudes of force. I used a sensor (a LabQuest...
Homework Statement
A horizontal plank (mass 2kg, length 1m) is pivoted at one end. A spring (k=1000N/m) is attached at the other end. Find the angular frequency for small oscillations.
Answer: ω=39rad/s
Homework Equations
ω = √(mgd + kΔxd/I)
I think I would be treating the plank as a long...
Homework Statement
A 5 kg bowling ball moves at 10 m/s on a flat and frictionless surface. It hits a massless bumper with a spring constant of 100 N/cm. How far (in cm) will the spring compress?
Homework Equations
|F| = |kx|
Fnet = ma
The Attempt at a Solution
This is mostly a plug and chug...
Homework Statement
Homework EquationsThe Attempt at a Solution
Is it possible to solve this problem without using Hamiltonian Mechanics (just by Newtonian). My instructor expects use to solve this problem without any knowledge of any advanced classical mechanics. I tried to solve this...
Homework Statement
on frictionless surface there are two objects m1 = 0.9 kg m2 =1.6 kg
at first these two are held by person an spring is shrined L = 10 cm . After that first objet is released and when this object is in it's equilibrium moment another object is released . Find maximal...
Hello, I'm trying to figure out a general physics problem here and I'm trying to relate energy held in a rotating shaft to be dissipated by a torsional spring. Let's say I have energy E (Joules), shaft outer diameter D, and torsional spring capacity T.
T is what I'm designing for with all...
Hi,
Could you please help me determine if I've worked this problem out correctly.
1. Homework Statement
A 2.86-kg object on a frictionless horizontal surface oscillates at the end of a spring with an amplitude of
7.81 cm. Its maximum acceleration is 3.74 m/s2.
Calculate the total...
Homework Statement
So this is the question I need to solve. I was told to directly integrate the bottom equation to solve for x(t). I can solve (1) by differentiating (1) to turn it into 2nd order difffeq (mx''=kx), but I think I'm not allowed to do that ... I have no idea how to solve (2)...
Homework Statement
Homework Equations
w = √k/m
w = 2π/P
ƒ = 1/P
The Attempt at a Solution
I feel like I'm so close to the answer, I think it has something to do with the fact that there's a spring and pulley in the system that is throwing my answer off. I have
√k/m = 2π/P
So,
P =...
Homework Statement
A mass M hangs in equilibrium on a spring. M is made to oscillate about the equilibrium position by pulling it down 10 cm and releasing it. The time for M to travel back to the equilibrium position for the first time is 0.5s. Which line, A to D, is correct for these...
Homework Statement
A ball of mass m rolls down a 3.0 m ramp inclined at 30° above the horizontal, rolls along a flat, friction less surface, and collides elastically with another ball of mass 2m, initially at rest. The second mass then moves along the surface and collides with a horizontally...
So there is this ball held on a spring. It's radius R = 0.015m , and density ρ=7800kg/m^3.
It's oscillation period in air is 1.256 seconds and in the fluid it changes to 1.57 seconds.
Find the viscosity of the fluid considering that the drag force obeys Stokes law.
I first found the spring...
Homework Statement
Homework Equations
I am Stuck getting Theta out of the last step of equation. I have found that theta is 35 by trial and error.( i wrote an excel program)[/B]The Attempt at a Solution
Homework Statement
A cylinder having a piston restrained by a linear spring (of spring constant 15 kN/m) contains 0.5 kg of saturated vapor water at 120ºC. Heat is transferred to the water causing piston to rise. If the piston’s cross sectional area is 0.05 m2 and the pressure varies linearly...
Homework Statement
A light spring passing over a smooth pulley carries a spring balance of mass 1 kg and two weights of masses 1 kg and 2 kg. the reading on the balance will be
Homework Equations
3. The Attempt at a Solution [/B]
to my knowledge whatever the tension above the spring balance...
Homework Statement
Use the Heun method to compute the period of small oscillations about the equilibrium position of a nitrogen atom.
xi = 1.1
Um = 7.37
x0 = 1.2
alpha = 2.287
m = 2.325e-26
Homework Equations
[/B]
U(x) = Um((1-e^(-alpha(x-x0)))^2 - 1)
The Attempt at a Solution
I was told to...
Homework Statement
[/B]
Homework Equations
$$W=P\Delta V$$
$$\Delta U=nC_v\Delta T$$
The Attempt at a Solution . [/B]
The gas is slowly heated. The temperature increases and the pressure increases as well. But since volume increases, the increases in pressure is nullified. The process is...
Homework Statement
imgur link: http://i.imgur.com/Bv3qtPm.png
Homework EquationsThe Attempt at a Solution
From the FBD it is apparent that there is a constraint
-k_1x_1 + k_2(x_2-x_1) + 5\cos{10t} = 0
If you combine this with
{x}''_1 = -(k_1+k_2)x_1 + k_2x_2 + 5\cos{10t}
and
m{x}''_2...
Hello,
Firstly thank you for reading my post.
This is an interesting question I was wondering if anyone here could teach me how to work out.
Say if you had a large go-kart (FSAE/Formula Student if anyone knows of that) and you were driving at 120kph and hit the brakes and stopped in 3 seconds...