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Homework Statement Problem: [/B]
Given the mass spring system solve for k1
The natural frequency wn = 10 s-1
k1=2k2
m=1kg
Homework Equations
wn=(k/m).5
The Attempt at a Solution
solve for k1
m x w2n =2.5k1
k1 = 40 N/mNote: I calculate 40 N/m and the solution states 250 N/m. I think I...
Homework Statement : [/B]I'm curious to know why and how one would account for the force of a falling object dropped from a height. If I apply Newton's 2nd Law, force is only dependent on acceleration. So in a straight vertical drop, this acceleration is only gravity. But is it not that a...
I take a spring and expend work to compress it with my fingers thereby increasing the potential energy of the spring. After it is at its final compressed state, am I doing work?
Homework Statement
Homework EquationsThe Attempt at a Solution
any help would be appreciated! I keep trying and just keep getting stuck really early on.
A venture airvalve is a mechanical device which for a given valve position results in a constant flow independent of inlet pressure (within a given range). If pressure increases, flow increases resulting in a low pressure in the throat of the venture which sucks the plunger in thereby reducing...
Homework Statement
In image below
Homework Equations
Fs=-kx
The Attempt at a Solution
In image below
This question might be amateurish
Why does my answer equate to negative angular frequency when the given result is positive?
[/B]
Homework Statement
A 0.60kg cart moving at 5.0m/s[W] collides with a 0.80kg cart moving at 2.0m/s[E]. The collision is cushioned by a spring(k=1200N/m).
Homework Equations
[W] is Positive
PTo=PTf
ETo=ETf
The Attempt at a Solution
PTo=PTf
m1v1o+m2v2o=(m1+m2)vf...
Homework Statement
A spring scale hung from the ceiling stretches by 6.3 cm when a 1.2 kg mass is hung from it. The 1.2 kg mass is removed and replaced with a 1.4 kg mass. What is the stretch of the spring?
F=mg
U (spring force) = 1/2kx^2
Homework Equations
The units of cm need to be...
When we compress a spring attached to a wall, the wall also exerts the same force as we do, otherwise the spring would accelerate (which it doesn't). So does that mean the wall compresses the spring? If not, why? If yes, then why do we have compression of x (done by us) only?
A particle that hangs from a spring oscillates with an angular frequency of 2 rad/s. The spring is suspended from the ceiling of an elevator car and hangs motionless (relative to the car) as the car descends at a constant speed of 1.5 m/s. The car then suddenly stops. Neglect the mass of the...
Prove that the maximum speed (Vmax) of a mass on a spring is given by 2πfA.
I have no idea how to solve this problem. I have not taken calculus yet, and I am really confused on how to come up with a solution for this. Any help would be appreciated. Thanks
Homework Statement
The cable of the 2000 kg elevator cab in the figure snaps when the cab is at rest at the first floor, where the cab bottom is a distance d = 2.8 m above a spring of spring constant k = 0.30 MN/m. A safety device clamps the cab against guide rails so that a constant frictional...
Homework Statement
In the figure, a block of mass m = 15 kg is released from rest on a frictionless incline of angle θ = 26°. Below the block is a spring that can be compressed 3.1 cm by a force of 380 N. The block momentarily stops when it compresses the spring by 4.0 cm. (a) How far does the...
Homework Statement
A block with mass m = 2.66 kg is placed against a spring on a frictionless incline with angle θ = 37.0° (see the figure). (The block is not attached to the spring.) The spring, with spring constant k = 14 N/cm, is compressed 19.1 cm and then released. (a) What is the elastic...
Homework Statement
A projectile of mass m is shot (with velocity v) at target of mass M which has a hole containing a spring inside (with constant spring constant K), and the projectile hits the spring. The target is initially at rest, and can slide without friction on a horizontal surface (see...
Homework Statement
The block in the figurelies on a horizontal frictionless surface, and the spring constant is 44 N/m. Initially, the spring is at its relaxed length and the block is stationary at position x = 0. Then an applied force with a constant magnitude of 2.0 N pulls the block in the...
Homework Statement
If I have a spring that repeats its motion in T0 =2s, and its x coordinate is given by x=00.4*Cos(ω0t + φ).
If I wanted the velocity at, let's say t=1/2s, I would just take the derivative of x and plug in t.My question is, what other ways can I use to find V at t = 1/2s...
I'm redesigning a small, U-shaped spring clip, similar in shape to this:
To make it fit, I had to increase the radii in the corners from the original design, so I need to validate that it will still have sufficient spring rate/clamp force for our application. I'm trying to figure out how I...
Homework Statement
I'm trying to derive the equations of motion and state space as well as the transfer function for a system which has two mass spring damper systems stacked on top of each other. The system is base excited. I attached a pic of the system
Homework Equations
- Sum of the...
< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown >
Could anyone please correct me if I have any mistake in the following question? It's very important for me to know if I am doing it correctly.
1)
"Michelle, a technician at a spring...
Hi Everyone,
Kind of a tough question here. How do I determine the length of a spring if we don't have any visual information about it? All we have is the spring rate & change of object position from when the spring is uncoiled, to fully coiled.
Anyone have any ideas on this? I tried the...
I'm trying to find a solution to a system in which a clamped free Euler-Bernoulli Beam system rests on top of a mass-spring-damper system. The MSD system has nonlinearities in both the spring and the damper and is of the form:
I have extended the nonlinear restoring force to its 3rd term and...
Normally in high school physics-textbooks, the following formula for the period of simple harmonic motion (SMH) for a object on a spring is derived:
T2= 1/(4π2k)*m
where T is the period, k the springconstant and m the mass of the object on the spring. This is usually acquired by setting up a...
Generally is it as difficult to get into a PhD program in physics during the spring then it is during the fall? I'm asking because many of the schools I'm applying to say that most students are admitted during the fall but they give you the option to apply for the spring as well.
http://i.imgur.com/UNrCRD0.png
How can I calculate k1,travel2 & k2,travel2 in this system? I know that k_series = k1*k2/(k1+k2) but that is the extend of my knowledge.
Hi, I have a wire that is fixed on one end and is under 2 lbs (approx) of tension on the other end due to a spring. Using a fixed/fixed closed form solution I found the first mode to be 73.6 Hz. In a vibration test, we found the first mode to be 110 Hz. Does this seem reasonable and where do...
Homework Statement
Two mass-less springs with spring constant k = 1000 N/m each have 1 block attached (Spring A is fixed to the ceiling and is attached to a 5 kg Mass A, Spring B is attached and below the 5 kg Mass A and is attached to another 5 kg Mass B at the other end; this system is...
A block lies on a horizontal frictionless surface, and the spring constant is 50 N/m. Initially, the spring
is at its relaxed length and the block is station ary at position x = 0 .Then an applied force with a constant magnitude of 3 N pulls the block in the positive direction of the x...
We have been given a table listing the extension and 3 times for 20 oscillations without the mass on the spring stated. I have used this to find an average time then /20 to find t for 1 oscillation, then plotted a t2/x(extension) graph. I have inserted a trend line to find y=mx+c = y=3.8001x +...
Homework Statement
A 48 gram dart is shot vertically upwards from a catapult with a spring constant of 350 N/m. The catapult is initially stretched from the equilibrium point by 21 cm. What is the height above the starting point reached by the dart?Homework Equations
KE=PE, rearranging to find...
Hello all,
I am trying to find an equivalent spring for a combination of a spring with spring constant k1 & pre-sompression of x1 and a diaphragm of stiffness k2. Refer to the attached figure. Please help me in understanding whether this combination will be in series or in parallel.
Thanks
So this sounds homework question but I promise its not. At least its not mine. I saw it on a website because someone made it funny because of what they answered (drew an elephant if you know the one I'm talking about)
Anyway, so the problem was a block of mass m = 5 kg falls starting at rest at...
Homework Statement
A mass is at rest on a spring on an inclined plane. Which way would I draw the force of friction on a force diagram?
Homework Equations
Fnet=0
F=-kx
The Attempt at a Solution
It could point either up the incline, or down the incline.
[/B]
Homework Statement
Lets say I have a spring, resting at a length x at t = 0 seconds, with a spring constant k, and at the end is attached with a block with mass m. I give the block a velocity v in the -x direction.
Now I'm asked to find the Amplitude.
Homework EquationsThe Attempt at a...
Homework Statement
A mass ##m## body is attached to the spring and rests on the board so the spring is not stretched. The board starts to move with an acceleration ##a##. How much does the spring stretch at the moment when the board separate from the body?
Homework Equations
Newton's Laws of...
Homework Statement
The problem is to use conservation of energy to determine the equation for the velocity at the equilibrium position of an oscillating mass on a vertical spring. The question says to use three types of energy. The question gives the equation, the problem is to solve for it...
Hi,
I looked around for hours but it seems like I'm the only one who finds it confusing.
I understand the concept of potential energy and work, but have a problem with the equations.
Here is what I don't understand:
The work energy theorem states that K2-K1=W.
W = ∫Fdx from evaluated between...
Homework Statement
Students in a physics class set up an experiment to examine the behavior of springs being compressed under various conditions. In the first trial of the experiment, students released a 1.5 kg block from rest at the top of a ramp. The block slid down the ramp, across a...
Homework Statement
A ball bearing of mass m = 50.0 g, is sitting on a vertical spring whose force constant is 120.0 N/m. The initial position of the spring is at y = 0 m[/B]
a) The spring is compressed downward a distance x = 0.200 m. From the compressed position, how high will the ball...
Homework Statement
What should be the spring constant k of a spring designed to bring a 1400 kg car to rest from a speed of 28 m/sec so that the occupants undergo a maximum acceleration of 5g’s?
I have the solution manual and can see how they did this, but am curious as to why my attempt did...
Homework Statement
[/B]
In the overhead view of the figure, a long uniform rod of mass m = 0.24 kg is free to rotate in a horizontal plane about a vertical axis through its center. A spring with force constant 240 N/m is connected horizontally between one end of the rod and a fixed wall. When...
Homework Statement
Two blocks of masses M and 2M are on a frictionless horizontal surface and are held in place with a compressed spring of negligible mass between them. If the blocks are then released and the block of mass 2M leaves the spring with a velocity v, the velocity of the center of...
Homework Statement
A mass m hangs on a spring of constant k. In the position of static equilibrium the length of the spring is l. If the mass is drawn sideways and then released,the ensuing motion will be a combination of (a) pendulum swings and (b) extension and compression of the spring...
Homework Statement
An adiabatic piston of mass m equally divides an insulated container of volume V0 and length l filled with Helium.The initial pressures on both sides of the piston is P0 and the piston is connected to a spring of constant k. The container starts moving with acceleration a...
Homework Statement
A 1.20 kg object slides to the left on a surface having a coefficient of friction of 0.250. The object has a speed of v_i = 3.00 m/s when it makes contact with a light spring that has a force constant of 60.0 N/m. The object comes to rest (briefly) after the spring has been...
How could you graph a potential energy vs. time graph only knowing the position vs. time graph and the velocity vs time graph for a hanging object oscillating up and down on a string?
https://scontent-sjc.xx.fbcdn.net/hphotos-xpt1/v/t34.0-12/11160576_1059930500703784_4106088481400641257_n.jpg?oh=2e1906c36fc3e407fc8e2b8eb544bbba&oe=55401DBB
1. Well the entirety of the question along with the variables is given within the picture ^.2. I can't figure out how to make the graph...
How do you select the settings to analyse a spring?
How do you let ANSYS know that this is a spring (not a normal piece of metal) that I want to analyse?
Homework Statement
If I attach a spring to the ceiling, then hang a weight on the spring, the spring extends by 1.19 meters, comes to rest for an instant, and then begins oscillating. The mass of the weight is 6.6 kg. What is the oscillation frequency of the block's oscillations.
Homework...
I am trying to understand the effect that eliminating the mass m1 (m1 = 0) has on the active forces (Fa). I have gone through a scenario where m1 is taken into consideration (refer to uploaded images). The active force on m1 is from the spring and does not have m1 in the expression (Fs1 =...