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1. A 250-g object hangs from a spring and oscillates with an amplitude of 5.42 cm. The spring constant is 4.80 N/m.
a) What is the acceleration of the object when the displacement is 4.27 cm [down]?
I put:
m=0.25 kg
d=0.0542 m
k=48 N/m
x=0.0427m
Therefore:
F=kx which leads to a=kx/m
a=(48...
Homework Statement
The spring of a dynamo-meter grows 20cm when one suspends a 4N on weight. What is the potential energy of the spring when one suspends a weight of 12N?
Homework Equations
Ue = 1/2*k*r2
Ug= m*g*h
The Attempt at a Solution
so to find k I do this step.
1/2*k*0.22 = 4*0.2...
Homework Statement
#1. [Coupled Oscillators] A cart of
mass m (car #1) and another cart of mass 2m (car #2) on a
horizontal surface are connected by an
ideal massless spring of spring constant k.
The two carts are set into oscillation about
their center-of-mass (CM) in Simple
Harmonic...
Homework Statement
In the figure shown below all surfaces are friction-less. Find the maximum extension in the spring(in meters) , if the blocks are initially at rest and the spring is initially in its natural length.
Details and Assumptions:
F=30N
k=700N/m
m=5kgHomework EquationsThe Attempt...
Homework Statement
A solid block of mass m2 = 8.1 kg, at rest on a horizontal frictionless surface, is connected to a relaxed spring. The other end of the spring is fixed, and the spring constant is k = 230 N/m. Another solid block of mass m1 = 4.0 kg and speed v1 = 5.1 m/s collides with the...
Homework Statement
Particle A and Particle B are held together with a compressed spring between them. When they are released, the spring pushes them apart, and they then fly off in opposite directions, free of the spring. The mass of A is 2.00 times the mass of B, and the energy stored in the...
Homework Statement
I'm trying to come up with a problem and solve it. As of right now, I have a vertical spring with an equilibrium length of .38 m hanging. A .61 kg mass is attached to the bottom, and the new equilibrium length is 1.05 m.
If the spring is compressed .1 m upwards then pushed...
Homework Statement
| Mass 1: 2kg | -------- | Mass 2: 3kg | ----------> 15N
2 blocks are connected by a massless spring on a horizontal frictionless plane. The left block has a mass of 2kg and the right block has a mass of 3 kg. There is a force pulling Mass 2 to the right with a force of...
Hello friends,
I am working on a design project for my capstone course in my engineering curriculum. Part of the design involves a cord consisting of wires tightly wrapped helically (à la a spring) around a nylon rope core. An important specification of this design is the radius of curvature...
Homework Statement
You have a spring of length l, radius R, with N loops and n loops per unit length. If you consider it a solenoid, what current do you need to apply to withstand a mass m hanging from it, without stretching or shrinking the spring.
Homework Equations
Magnetic field inside a...
Homework Statement
A block of mass m = 1.5 kg is launched from point A with speed VA = 12 m / s, in the circuit
shown in Figure 4. If we assume that there is no friction determine:
a) the speed of the block when it reaches the point C;
Drawing of the problem:
http://i.imgur.com/TrcMJ5I.png...
Homework Statement
A block of mass m = 4 kg, is held at rest on a spring (point A), spring constant k =
500 N / m, compressed by a distance AB = .DELTA.L as shown in Figure 3. When the block is freed ,
it reaches the point B ( non-deformed position of the spring ) with a velocity of VB = 5 m /...
Homework Statement
Two identical 0.25kg blocks (labeled 1 and 2) are initially at rest on a nearly frictionless surface, connected by an unstretched spring, as shown in the upper diagram, where x2=0.059m. Then a constant force of 17N to the right is applied to block 2, and at a later time the...
In the included picture, I don't get how they get to the kinetic energy part. I would say, that the traveled distance is equal to (l + x(t))*θ. Then I would take the time derivative, resulting in dx(t)/dt * θ + (l + x(t))* dθ/dt. Then I would square this result and multiply that with 1/2 m. But...
For a mass-spring system,
Period, T = 2pi * root(m/k)
So using hookes law,
F = kx
But if the spring is being stretched by a mass due to gravity,
mg = kx
So,
k = mg/x
But then this means,
Period, T = 2pi * root(mx / mg)
or,
T = 2pi * root(x / g)
Where have I gone wrong? I've been told...
Homework Statement
A spring is attached to the ceiling, a pulley is attached to the other end of the spring, a string is suspended over the pulley, and a mass attached to the free end of this string. The system oscillates vertically.
Can someone PLEASE help me derive this equation for natural...
Homework Statement
It was stated that the block separates from the compressed spring when the spring reached its equilibrium length of x=0. Explain why separation doesn't take place before (or after) this point.
I understand how this works, intuitively. What I don't understand is my...
Homework Statement
Homework Equations
See above
The Attempt at a Solution
This is the textbook's explanation...
1) Why does it say ##k_{speed} = K_{mass} +##... and not ##k_{total} =##...?
2) If force isn't constant, then work requires an integral, which in turn means that kinetic...
Homework Statement
I am just wondering what effect a torsional spring, with constant K, would have on the equations (1) to (5), under the section "Force analysis and system equations". The torsional spring is located where the pendulum and cart are connected...
Homework Statement
80kg box is on a 20 degree incline against a spring and is released from rest. Coefficient of static friction is .25. Determine max and in values of the intial compression force in the spring so that block will not slip on release.
Then calculate the magnitude and direction...
Homework Statement
A 2kg block is pushed against a spring of force constant k=400 N/m, compressing it .22m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with a slope of 37 degrees. a.) what is the speed of the block as it...
Homework Statement
Given a harmonic oscillator with mass m, and spring constant k, is subject to damping force F= cdx/dt and driven by an external force of the form F[ext]= FoSin(wt).
A) Find the steady state solution.
B) Find the amplitude and the phase.
Homework Equations
F=-kx
the steady...
Homework Statement
A 2kg box traveling at a velocity of 5 m/s hits a spring (k=100 N/cm). Find
a. How much the spring will compress
b. What is the average force on the spring
c. If the surface has μs = 0.15 and μk = 0.12, how far will the box rebound from the spring
d. If the surface is...
Homework Statement
A block of mass m is on a platform of mass M, supported by a vertical, massless spring with spring constant k.
When the system is at rest, how much is the spring compressed?
When the spring is pushed an extra distance x, what is the frequency of vertical oscillation...
Homework Statement
A mass of 0.36kg hangs motionless from a vertical spring whose length is 0.8m and whose unstretched length is 0.51m. Next, the mass is pulled down to where the spring has a length of 1.09m and given an initial speed upwards of...
Homework Statement
If it requires 5.0 J of work to stretch a particular spring by 2.0 cm from its equilibrium length, how much more work will be required to stretch it an additioanl 4.0 cm?
Homework Equations
Force done on spring: ##F_P = kx ##
Work: ##\frac {1}{2}kx^2 ##
The Attempt at a...
Homework Statement
We have a spring of length l0 tied to two vertical non moving sticks. We place a mass m at 0,45l0 and let it oscillate. If we measure the period of an oscillation, we can find the angular frequency and calculate k. The question is, how can I calculate k1 and k2, the constants...
Homework Statement
(Sorry for my bad English)
A slippery (frictionless), light horizontal bar rotates about a vertical axis with a constant angular velocity ω. A cylinder with mass m, is initially attatched to a thread with length a and to a spring, which from the beginning has its "natural"...
Homework Statement
How to calculate initial tension or pretension in a system of two parallel springs.
F=5.33213N
K1+K2=53.0597
x=0.095
Individual springs have initial tension of 0.25N so I would expect an answer of 0.5N but I can't get there.
Homework Equations
F=(k1+k2)x
The Attempt at a...
Homework Statement
1.In a game a .12kg disk is shot across a frictionless surface . The spring is compressed by 6cm. The spring constant is 230 N/m. What is the magnitude of the spring force?
2. A piece of plastic is attached to a spring. The spring is compressed 2cm and the released. If the...
Homework Statement
"A coil spring has a force constant of k = 4.0 lb/in. When the spring's axis is inclined at an angle 30 degrees from the horizontal, a W = 2.0 oz ball is propelled to a height of 6.0 ft. By how much must the spring have been compressed initially? (1 lb = 16 oz)
Homework...
Homework Statement
Russian aviator Vsevolod Mikhailovich Abramovich invented the Abramovich Flyer based on the design of the Wright brothers' first plane. After this first success, Abramovich became obsessed with deep space travel designing a spring based launcher to fire a probe of mass 90kg...
Homework Statement
Compare the simple harmonic motion of two identical masses oscillating up and down on springs with different spring constants.
Homework Equations
F = -kxThe Attempt at a Solution
Okay, so I understand that the higher the spring constant, the harder it is to compress the...
Homework Statement
In my physics 12 class, we were given a spring and had to launch it at an angle into a target (the object launched is the spring itself). The target was on the floor level but the spring was launched from above the floor level. I need to find out how far to pull the spring...
Hello.
I manufacture Parts Cleaning Machines. I have hit a small obstacle in designing a new machine in which I have to push the door of a chamber from front in order to obtain a perfect seal (for vacuum & to prevent leaks).
Some research on the internet has led me to videos of similar...
Homework Statement
Derive Newton's and Lagrange's equation of motion for the system. Discuss differences and show how Newton's equations can be reduced to lagrange's equations. Assume arbitrarily large θ.
The system is a pendulum consisting of a massless rod of length L with a mass m...
Homework Statement
(Sorry for my bad English)
A slippery (frictionless), light horizontal bar rotates about a vertical axis with a constant angular velocity ω. A cylinder with mass m, is initially attatched to a thread with length a and to a spring, which from the beginning has its "natural"...
For an introduction to the Curiosity Questions, please see the intro to Curiosity Question 1
Here is the first part of another problem I made up.
As I said in Question 1, I am posting this for
a) the enjoyment of everyone who reads them
b) work checking to see if they are riddled with mistakes...
Homework Statement
Derive Newton's and Lagrange's equation of motion for the system. Discuss differences and show how Newton's equations can be reduced to lagrange's equations. Assume arbitrarily large θ.
The system is a pendulum consisting of a massless rod of length L with a mass m...
Homework Statement
Hi,
I am thinking about a stretched spring with a mass on it. When the spring is fully extended and has just started to pull the mass back towards the equilibrium point, is the work positive or negative?
Homework EquationsThe Attempt at a Solution
[/B]
I think as the...
Homework Statement
I have a physics midterm on Wednesday and I'm doing some practice problems to prepare. On one of them, I'm getting an answer that is extremely close to the answer my TA gave me for the problem and I can't tell if it's rounding or if I'm missing something.
A mass is attached...
Homework Statement
Imagine that you have been given the job of desiging a new bungee jumping platform. Customers of mass 53.0 kg will step off a platform, attached to a rope of unstretched length 52.6 m and spring constant 17.0 n/m.
How far below the platform will the end of end of the rope...
I know this is an idealization, but I'm wondering if there is a reason this idealization works so well. Is it related to the coil of the spring or the bonds between each atom in the spring?
I have considered using
## F = \frac{kq_1q_2Nsin\left(\theta \right)}{r^2} ##
Where:
##...
Attached is my ANSYS model of a spring made using cantilever beams. In playing around with with different dimensions, I noticed that the longer I made the connecting section (dirty green section) the less of a total deflection there was. Could someone explain to me why this is?
The overall goal...
A block slides from rest, along a track with an elevated left end, a flat central part, into a relaxed spring, as shown in the figure. The curved portion of the track is frictionless, as well as the first portion of the flat part of L = 10 cm. The coefficient of kinetic friction between the...
Homework Statement
Two large crates, with masses 575 kg and 255 kg, are connected by a stiff, massless spring (k = 7.8 kN/m) and propelled along an essentially frictionless, level factory floor by a constant force applied horizontally to the more massive crate. If the spring compresses 4.7 cm...
Homework Statement
A 50g mass is attached to a spring and undergoes simple harmonic motion. It's maximum acceleration is 15m/s and maximum speed is 3.5m/s. Determine a)angular frequency, b) spring constant, c) amplitude.
Homework Equations
ω = √k/m
X(t) = A*cos(ωt + ∅)
The Attempt at a...
The goal is to measure the spring constant of a spring and then calculate a theoretical period of the oscillation and compare the results to a real life measurement.
Extension of spring A:
Neutral: 52 cm
1 N: 41 cm
2 N: 30 cm
F = kx
k = 9.1 N/m
10 oscilliations = 9.26 seconds
Calculating the...
1. I have two blocks, one that is 1.6 kg moving left at 3.00 m/s and the other is 2.1 kg moving right at -1.74 m/s, and they are compressing a block with a spring constant of k=600 N/m. I'm supposed to be finding the distance that the spring is compressed at that instant, and I know that...