Homework Statement
Suppose that I hang a 100 gram mass from a spring. When I do this, I find that the srping stretches 10 centimeters.
1)What is the gravitational force on the mass that I hang from the spring? give your answer in Newtons
2)what is the force that the spring is exerting on the...
Homework Statement
[PLAIN]http://mityaka.com/users/kolodny/img/lagprob.png
Homework Equations
L = T - V
T = \frac{1}{2}*m*U2
Vs = \frac{1}{2}*k*x2The Attempt at a Solution
I worked out the equations of motion as:
FL = m*\ddot{y}+k*y-k*b*\theta
FL*e =...
Bear with me if you've read or done a problem like this before, I just thought of it while
watching the lecture on Hooke's Law http://ocw.mit.edu/courses/physics/8-01-physics-i-classical-mechanics-fall-1999/video-lectures/lecture-10/ by Walter Lewin of M.I.T. and
probably couldn't solve it...
Homework Statement
Chemically, the atoms of these two isotopes behave in essentially identical ways, since the number of protons (92) is identical and the clouds of 92 electrons are nearly identical. The interatomic distance, and the effective "stiffness" of the interatomic bond, both depend...
Homework Statement
Two masses, m1 and m2, are connected to each other by a spring with a spring constant k. The system moves freely on a horizontal frictionless plane. Find the natural frequency of oscillation.Homework Equations
F = -kx
F = maThe Attempt at a Solution
Let m1 be the mass on the...
Suppose I have two masses with mass M each connected together by a spring with spring constant k like this:
http://img827.imageshack.us/img827/4896/springs1.png
Then I apply a force of F at both ends:
http://img833.imageshack.us/img833/2562/spring2.png
Then using Hooke's law F=kx, the...
Homework Statement
The equilibrium length of each spring in the figure(attached, hopefully it shows up) is b, so when the mass m is at the center, neither spring exerts any force on it. When the mass is displaced to the side, the springs stretch; their spring constant is k.
(a) Find the...
Homework Statement
Suppose we have 2 insulated metal rods each measuring 40 cm. Now,the 2 metal rods are connected with 3 identical springs each of length 20 cm (force constant 2.0 N/m) in parallel. A current of 20A is passed through each metal rod in opposing directions. What is the extension...
Homework Statement
"If the work required to stretch a spring 3 ft beyond its natural length is 8 ft-lb, how much work W is needed to stretch it 9 in. beyond its natural length?"
Homework Equations
F=kx.
The Attempt at a Solution
F=kx so 8 = 3k. k= 8/3 then I use an integral of...
Homework Statement
if i have a three link massless manipulator (each with length l1 l2 l3) that has rotational springs at each joint, k1 k2 k3, and I apply a force on the third link, what will be the joint angles at equilibrium?
Homework Equations
k = Fd/theta
The Attempt at a Solution...
if i have a three link massless manipulator (each with length l1 l2 l3) that has rotational springs at each joint, k1 k2 k3, and I apply a force on the third link, what will be the joint angles at equilibrium?
do I find the lever arm to each joint and multiply that by the force to find the...
Homework Statement
A block of mass m=2.5 kg slides head on into a spring of spring constant 320 N/m. When the block stops, it has compressed the spring by 7.5 cm. The coefficient of kinetic friction between the block and the floor is .25. while the block is in contact with the spring and...
Homework Statement
A freight car of mass 1800kg is timed at 4.2m/s just after it runs into a spring-loaded bumper at the end of the track. The bumper consists of an 800kg mass that the car runs into, and a pair of large springs. The car travels 2.4m before coming to rest.
a)using an...
Hi all,
I recently learned about simple harmonic motion. In all the questions I have done, the springs are massless. I would like to know what happens when the spring has mass. I think that if the spring has mass, then the force in the spring will also have to counteract the weight of the...
Homework Statement
This question is beyond my level, I am doing this for bonus marks. I am unaware of how to do it, I am merely requesting a formula, or a series of steps to help me. I have not yet done calculus.
Imagine that a 1 kg box is falling from a height of 5.2 m, with 4 springs...
Homework Statement
Since a real spring has mass, if another mass was attached to it, would the spring exert a greater force on the mass and have a smaller stretch, versus if this spring was an ideal spring?
Homework Statement
A 2 kg block is attached to a horizontal ideal spring with a spring constant of 200 N/m. When the spring has its equilibrium length the block is given a speed of 5 m/s. What is the maximum elongation of the spring?
A. 0
B. 0.05 m
C. 5 m
D. 10 m
E. 100 m
Homework...
I am attempting to measure linear spring displacement by measuring the change in electrical resistance of the spring before and after the displacement. Will this approach work? (assume the coils do not contact each other)
Homework Statement
We have a string with property D (I don't know the name in english, it's dimension is N/m, the force required to stretch it 1m), which is small enough so that if we put the spring on the ground, it'll be shorter than it's standard height. The question is, when will this...
Homework Statement
I conducted an EEI on coupled pendulums without the springs,
thinking that it would be a basic experiment.
Yet when the length of the pendulum and the distance apart was equal, the pendulums oscillated for more then 30 mins while the others with different length only...
Homework Statement
A relaxed spring with spring constant k = 70 N/m is stretched a distance di = 63 cm and held there. A block of mass M = 7 kg is attached to the spring. The spring is then released from rest and contracts, dragging the block across a rough horizontal floor until it stops...
[PLAIN]https://wug-s.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?cc/DuPage/phys2111/summer/homework/Ch-07-Work/IE_block_springs/9.gif
Homework Statement
A block of mass m = 1.5 kg slides between two springs, of spring constant kleft = 30 N/m and kright = 57 N/m. The distance between...
Homework Statement
Hello, guys! This problem is from exercise D, Q4 http://www.studyjapan.go.jp/pdf/questions/10/ga-phy.pdf"
Consider two springs of negligible mass that have the same natural length (50 cm) and same spring constant. As shown in Figure 1 (view the link), the two srpings are...
Need to show that the vertical displacement of a particle on a spring is
\ddot{x} + 100x = 0
\frac{1}{2}kx^2 + \frac{1}{2}m\dot{x}^2=C
k\dot{x}x + m\dot{x}\ddot{x}=0
Then since m=0.4, k=40.
\ddot{x}+100x=0
what has happened to gravitational potential energy? why isn't...
When a mass collides with a spring attached to a different mass; why is the maximum compression of the spring when the velocity of both masses is the same? (Spring is massless and surface is frictionless to make things simpler)
My mechanics teacher told me this when I was solving (or rather...
confirm my answers on Oscillating Springs??
Can anyone confirm or adjust my answers for problems 12 and 14? Also can someone help me start on problem 13.. Thanks guys I really appreciate the help
Homework Statement
012
Find the speed of the block when it is 2.5 cm
from the equilibrium...
Homework Statement
I challenged myself with a problem I invented, but I'm stuck.
Consider a 1 dimensional problem consisting of 3 masses, each one separated by a spring. So that from the left to the right of my sketch we have m_1, a spring (k_1 with natural length l_1), m_2, another spring...
https://www.physicsforums.com/attachments/251691. Homework Statement
assigned system of masses connected by springs with the parameters specified
Mass M0 details:
Stationary mass, does not move
Starting Positions in meters:
X: 5.8
Y: 4.2
-----------------------------------------
Mass...
Homework Statement
A mass m slides on a frictionless horizontal surface, connected to two springs. If the springs have force constants k1 and k2, show that the simple harmonic sliding motion has period: T = 2pi*sq root(m(k1+k2)/(k1k2)
There is a diagram and the springs are connected...
Is there a formula to calculate how much force is released from compression springs knowing the exact specifications of the spring of course?
Like if it takes 100g to compress a spring completely, how high would 50g travel when the spring is released.
Hey guys,
So I was trying to do a few questions to prepare for my Differential Equations exam soon, and I stumbled upon this question:
A mass of 1 slug is suspended from a spring whose spring constant is 9lb/ft. The mass is initially released from a point 1 foot above the equilibrium...
Homework Statement
An 8 kg mass is hanging from two springs that are attached to the ceiling as shown in the figure. The spring constant of spring A is 165 N/m and the spring constant of spring B is 123 N/m. Which spring has a larger displacement?
Note: Spring A is attached to the ceiling on...
hello all,
this will be my third time posting this question, i thought perhaps posting in the homework section might have it be answered. Recently I have been attempting to model a spring system (see below) where the springs themselves will have mass. I should know how to do this but i accept...
hello all,
Recently I have been attempting to model a spring system (see below) where the springs themselves will hold mass. I should know how to do this but i accept defeat, how do you model the potential energy or a force system on two masses connected to three springs? I have read about...
Homework Statement
I don't want to write the whole question as it is very long and I just have one query.. Basically the question involves a particle attached to three different springs which have fixed end points. In the question the mass of the particle is m, and the other constants used...
Homework Statement
The 2-lb collar C fits loosely on the smooth shaft. If the spring is unstretched when s = 0 and the collar is given a velocity of 15 ft/s, determine the velocity of the collar when s = 1 ft.
Homework Equations
F = kx
The Attempt at a Solution
x = l-l0 = (√[1 + s2] - 1)...
i found this question interesting and technically challenging... i want to know the different approaches for solving this given problem...
what are the factors to be considered while designing a bumper, with springs at its point of attachment with the car, so that the spring will compress and...
Yeah I got this question and I'm just wondering if I'm doing it right.
Homework Statement
A spring normally 10cm long and whose force constant is 150 n/m is connected to another spring normally 20cm long and whose force constant is 100 n/m. The combination is then pulled out so that its...
[b]1. The problem statement, all variables and given/known
A mass m is connected between two identical springs (along a y-axis) with identical spring constants k. The equilibrium length of each spring is L, but they are stretched to twice this length when m is in equilibrium. By analyzing the...
[b]1. Homework Statement [/b
A 2.7 kg block is dropped from rest from a height of 4.5 m above the top of the spring. When the block is momentarily at rest, the spring is compressed by 25.0 cm. What is the speed of the block when the compression of the spring is 15.0 cm?
Homework Equations...
Homework Statement
I've had some problems trying to work through this problem:
Two springs of stiffness k1 and k2 are attached in succession to a mass m. What is the frequency of vibrations in terms of the spring stiffness k1 and k2 and the mass m?
Homework Equations...
Hi,
I'm trying to find a way to calculate the resting position of a network of springs that is built as follows: n number of springs with identical k constant, but with different resting lengths are connected together at one end of each spring. The other end of each spring is fixed to some...
Homework Statement
A pair of masses M1, M2 is suspended vertically by a pair of spring, with spring constant k1, k2. ( see the attachment for the picture)
a.A downward force F is applied to bottom mass. Find the downward displacements d1 and d 2 of the equilibrium positions of the Mass...
Homework Statement
A block on a frictionless table is connected to two springs having spring constants k1 and k2. Show that the block's oscillation frequency is given by f = (f12 + f22).5 where f1 and f2 are the frequencies at which it would oscillate if attached to spring 1 or spring 2...
1.A stell spring has a spring constant of 25Nm^-1.Calculate
a.the extension of the spring when the tension in it is equal to 10N,
b.The tension in the spring when it is extended by 0.50m from its unstretched length.
2.Two identical stell springs of length 250mm are suspended vertically...
Homework Statement
There are two springs, one long spring of constant k1 and it is inside a smaller spring of constant k2. Both springs follow Hooke's Law. A box of mass M moves without friction and compresses spring 1 a distance d1 where it hits spring 2. Spring 1 and 2 then compress further...
Homework Statement
Derive the equation of motion for the following Mechanical System. You need to introduce an additional variable to represent position of the bottom mass.
I drew a picture ;D
http://www.mediafire.com/imageview.php?quickkey=mzkx0mimmwd&thumb=4
Homework Equations
EOM...
Homework Statement
a 300 g mass vibrates at the end of a horizontal spring along a frictionless surface. if the spring constant is 45N/m, and the maximum displacement of the mass is 8.0cm, what is the maximum speed of the mass?
Homework Equations
g=Gm/r^2
The Attempt at a Solution...
Homework Statement
Hey
The part of the question that i am not all the sure about is Newtons second law.
and the Omega
the Situation is as followed
]/\/\/k1\/\/\[m]/\/\/k2/\/\[
There are 2 springs k1,k2 and a mass in between.Homework Equations
F=ma and F=-kx
x=Asin(omega(t)+theta)
The...
Three springs of spring constant kare connected to a body of mass m and rigid supports, so that the angles are
A 90 degrees between two and 135 degrees between each of these two and the third.
B 120 degrees between any 2 adjacent ones.
Find time period of vibration.
I worked out a...