Homework Statement
(a) A body of mass m is suspended from a vertical, light, helical spring of force constant k, as in Fig. 1. Write down an expression for the period T of vertical oscillations of m.
(b) Two such identical springs are now joined as in Fig. 2 and support the same mass m. In...
Homework Statement
The question is "Imagine you are told after performing your experiment that the weights in your weight set are incorrectly labeled, and weigh less than you thought. Does that mean the value you determined for the spring constant is wrong? If so, is your value too high or too...
Hi
I was given the following problem in my coursework:
Homework Statement
"A spring is initially compressed by 50mm when a steel ball of mass 2kg is released from just being in contact with the uncompressed spring. Determine the spring stiffness (k) of the spring."
Homework Equations
F = mg...
Homework Statement
Homework Equations
U = 1/2 kx2
The Attempt at a Solution
So, I took dynamics off campus and needless to say, we didn't really do very much deriving so that aspect of physics really bogs me down and I'm trying to learn it now in another class. So if anyone wants to also...
Homework Statement
Homework Equations
T = 2π√(m/k)
mx'' + kx = 0
F = ma
The Attempt at a Solution
I don't honestly know where to start with this. I'm really out of my league in this class, and I'm trying my best to catch up with the things I didn't quite master in Dynamics and Physics...
As...
Homework Statement
A car driver updates the springs of a car by replacing the old springs with stiffer ones. The old springs give an amount of 8 cm when under the car, and their length when not under the car is 29 cm.
The spring constant of the new springs is 30 % greater than that of the old...
Homework Statement
A man with mass ##M## has its string attached to one end of the spring which can move without friction along a horizontal overhead fixed rod. The other end of the spring is fixed to a wall. The spring constant is ##k##. The string is massless and inextensible and mantains a...
Homework Statement
An expandable cylinder has its top connected to a spring of constant 2000 N/m. The cylinder is filled with 5L of gas with the spring relaxed at a pressure of 1 atmosphere and a temperature of 20C. If the lid has a cross-sectional area of 0.01m2 and negligible mass, how high...
I was given a question relating centripetal force to solve
A linear spring of negligible mass requires a force of 18.0 N to cause its length to increase by 1.0 cm.
A sphere of mass 75.0 g is attached to one end of the spring. The distance between the centre of the sphere M and the other end P of...
May I start by saying hello to all and that I have visited the site before, but have yet to create an account until now. With that said, I am having difficulty calculating proper numbers for a project I am designing. Mind you, it has been about seven years since I was in any physics or...
Hi
Could anybody guide me to a software that can be used to design a non linear spring from load deflection characteristics. need it for both extension and compression spring.
thanks
noor
The issue I am having is setting up the actual program for the problem. I am having trouble interpreting the code and, because of that, having issues getting it to work properly. The whole thing was written with Matlab and the goal was to write a function that could simulate the motion of a...
You have an infinitesimally small mass in the center of octahedron. Mass is connected with 6 different springs (k_1, k_2, ... k_6) to corners of octahedron.
Equilibrium position is in the center, you don't take into account gravity, only springs.
Find normal modes and frequencies.
Relevant...
Hello I am trying to find the acceleration of a system that has 2 masses, m1 and m2 connected via a spring with a spring constant of k with a force of F applied to the larger mass in the direction that stretches the spring.
Hello all,
I am 100% untrained in even reading about spring making let alone making them. There's a project I want to complete though and I need to make some props involving them. I say these conical springs would be roughly the diameter of a basketball to start with (9.55") and cone to a...
This is not a HW/coursework problem. Just something I randomly thought about.
1. Homework Statement
There is a horizontal spring with a mass at the end of it. The mass has an initial velocity V that compresses the spring. Find the equation of motion for this mass without using energy...
A spring of spring constant k sits on a frictionless horizontal table, one end of the spring is attached to a wall the other end to a block of mass M= 2kg, also resting on the frictionless table. Another block of mass m=450g moving at a speed of 7m/s collides in-elastically with the block of...
Homework Statement
Cylinder A (mass = 5kg) is released from rest at a height h =100mm above a spring of stiffness k = 1.8 kN/m. Determine, (i) the maximum compression of the spring, (ii) the spring deflection when the cylinder’s velocity is a maximum, and, (iii) the maximum velocity of the...
Hey gang, I found something else during my once a decade spring cleaning of storage I thought y'all might get a kick out of. The year was 1993, I was a re-entry student at Sonoma State University in northern California.
To set the stage, I was a major party animal in the mid to late 80's. I...
Homework Statement
A 0.26-kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is 190 N/m. The block is pulled from its equilibrium position at x = 0.00 m to a displacement x = +0.080 m and is released from rest. The block then executes...
Homework Statement
Its in the screenshot i took. I need someone to walk me through the process of solving this problem because I do not understand how to get the maximum compression distance x of the spring. I know that the momentum of the billet will= the momentum of the block.
Homework...
Homework Statement
A block of mass m1= 20.0kg connected to a block of mass m2 =30.0 kg by a massless string that passes over a light, frictionless pulley. The 30.0-kg block is connected to a spring that has negligible mass and a force constant of k =250 N/m as shown in Figure P8.64. The spring...
Hi guys,
i just discovered this forum and this is my first post so apologies if i made any mistake with the how I am suppose to structure a thread. but nontheless any help would be greatly appreciated!
cheers
1. Homework Statement
4. A 250mm diameter insulated cylinder (see figure below) is...
My question is:
Does a spring between two differing masses, each with an initial momentum of zero, transfer half of its stored elastic potential energy to each?
My intuition says yes. But it seems to not be the case. If you apply the conservation of energy and momentum, the answer you get is...
Homework Statement
I have to derive equation of motion for this system. I want to use a moment of force, but i have a problem with moment of force spring.
Homework Equations
The Attempt at a Solution
What I've done is:
M(Fg)=-mgLsinα
M(N)=0
M(Fb)=mω^2 Lsinα*Lcosα
mL^2*α''=ΣM
M(Fs)=?
Homework Statement
Mass 1 can slide on a vertical rod under the influence of a constant gravitational force and and is connected to the rod via a spring with the spring konstant k and rest length 0. A mass 2 is connected to mass 1 via a rod of length L (forms a 90 degree angel with the first...
Homework Statement
Hi all--humanist here. Now that the semester is over, I am taking the opportunity to (attempt to) self-study introductory SR. This is problem 12 in chapter 1 of Special Relativity by AP French.
(1-12) A body of mass m1+Δm is connected to a body of mass m2-Δm by a spring of...
Homework Statement
Please see attached image :)
Homework Equations
Euler-Lagrange Equation
\frac{\partial{L}}{\partial{q}} - \frac{d}{dt}\frac{\partial{L}}{\partial{\dot{q}}} = 0
L = T - V
The Attempt at a Solution
a. The potential energy V is the potential energy from the spring and the...
Let's say you are holding a bowling ball in the air, and there is a spring on the ground directly below it. You drop the bowling ball and it lands on the spring, compressing it, and then the bowling ball rolls off the spring onto a point P right next to the spring. Wouldn't this do a different...
Homework Statement
Looking for some feedback
a) Describe the energy conversions in a spring undergoing simple harmonic motion as it moves from the point of maximum compression to maximum stretch in a frictionless envoirnment. Be sure to point out the points at which there will be
I) maximum...
Homework Statement
Hi everybody! I'm back with another lagrangian problem :) Although I think (or hope) I have made progress on the topic, I always learn a lot by posting here!
A pendulum with point-shaped mass ##m_1## hangs on a massless string of length ##l##. The suspension point (also a...
Homework Statement
Question 8
Homework Equations
E=(kx^2)/2
E=(Iw^2)/2
I=(ml^2)/3
The Attempt at a Solution
I don't know how to start to solve the problem, because I don't really know which part should I refer to.
First I use the energy.
So the energy stored in the spring will converted to...
Hello,
Following Hooke's law, the force applied by a string on an object attached to one of its ends is F = -kx
But here is my question : if we consider the equilibrium coordinate x=0 of a horizontal string, and the string is stretched until its end reaches a coordinate x1>0. By applying hooke's...
Homework Statement
A block with mass m which is on a slippery floor is attached to a spring with spring constant k.
Another block which mass is also m approach and then hit the first block with velocity v as shown in the figure.
After the collision, both blocks stick together and together...
I oscillated a spring attached to a force sensor above a position sensor. The position and force sensors were zeroed at the spring's equilibrium. The graph below was my result. I'm wondering as to why the graph isn't a perfect line. It makes sense that the force applied on the force sensor would...
So I'm doing an experiment where I am using five different methods to find the spring constant of a spring. These three values of k should be the same but alas, they are not :( and I am at a loss as to why. The first method was by using hooke's law and finding the displacement and graphing the...
Homework Statement
A spring with spring constant 50 N/m is pulled with 10 N force at both ends of the spring.
So, the extension of spring length is..
A. 0.0 m
B. 0.1 m
C. 0.2 m
D. 0.3 m
E. 0.4 m
Homework Equations
F = k Δx
The Attempt at a Solution
F = 10 N <--- 0000000000000000000000...
A block with mass m =7.1 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.23 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.5 m/s. The block oscillates on the spring without friction.
1)What is the...
Homework Statement
I have run across another problem while reviewing for finals that I am not able to really understand, and this one I have no clue how to approach. I am given that a block is of mass 1 kg, it is placed on a spring of constant 500 N/m at the bottom of a frictionless plane...
Homework Statement
Five identical masses of mass M are suspended by a spring stretched a distance of L. If three of the masses are removed, what is the potential energy stored in the spring?
1) (4 / 25) * M * g * L
2) (2 / 5) M * g * L^2
3) (5 / 2) * M g * L
4) (4 / 25 ) * M * g L^2
5) 5 * M *...
Homework Statement
I am making a physics engine for my computer science class and couldn't figure out how to get the spring/mass system to come to equilibrium into a box-like shape such as the one on the left. I can understand why the one on the right is in equilibrium but I don't know how to...
Homework Statement
A 5.3kg mass hangs vertically from a spring with spring constant 720N/m. The mass is lifted upward and released. Calculate the force and acceleration the mass when the spring is compressed by 0.36m.
Note: I already solved for acceleration and I got the correct answer-...
Homework Statement
A spring toy is launched from the ground at 2.3 m/s at an angle of 78° to the ground. What is the maximum height reached by the spring toy?
Homework Equations
Δ[/B]dv = v1Δt + 1/2aΔt2The Attempt at a Solution
[/B]
Calculate time:
Δt = 2.3 m/s / 9.8m/s2
= 0.23 s
Now...
Hi
I want to calculate the potential energy of the following figure in function of x
Here is my attempt :
mgx + 1/2*k*(sqrt(x^2+L^2)-L)=1/2*m*v^2
Is that correct ?
thanks
Homework Statement
Box B has initial velocity v0 and collides plastically but without clinging to mass A which is at rest.
The spring, initially, is loose. assume that the collision time is very short.
What's the boxes's velocity immediately after the collision?
At what distance from the wall...