Homework Statement
A small block is launched on the fricntionless loop the loop shown. te sprink launcher has a sprink constant k
a)find the velocity at the top of the loop as a function of the displacement x of the spring launcher from its equilibrium length
b)find the minimum...
Homework Statement
You have been asked to design a "ballistic spring system" to measure the speed of bullets. A spring whose spring constant is k is suspended from the ceiling. A block of mass M hangs from the spring. A bullet of mass m is fired vertically upward into the bottom of the block...
Homework Statement
An ideal spring is suspended from a ceiling with a wombat attached to the end. The wombat is slowly lowered until the upward force exerted by the spring on the wombat balances the weight of the wombat. Show that the loss of gravitational potential energy equals twice the gain...
Two objects with DIFFERENT MASSES are launched vertically into the air by identical springs. The two springs are compressed by the same distance before launching. Which of the following statements is or are true? (NOTE: THERE MAY BE MORE THAN ONE TRUE STATEMENT).
A) Both masses reach the same...
Homework Statement
A horizontal k=200N/m spring is compressed 80cm. A 10kg mass is palced at the of of the spring on a u(mew)=0.15 surface. The mass leaves the spring at the equilibrium (x=0) point with 3.23m/s. Find the total distance (starting from rest) traveled by the mass. (Answer=...
A particle of mass m is attached to one end of an elastic spring of natural length l and modulous lambda ..The particle and spring rest on a rough horizontal surface and the other end of the spring is fixed..Th coefficient of friction is mu .the particle is held at rest with the spring...
Homework Statement
"A certain spring with the mass of 10kg oscillates with a period of 10 seconds on the earth. What would be its period on a small moon, where the gravity is 1/16 as strong as on the earth?"
Homework Equations
I'm thinking I have to use the equation...
Homework Statement
Let's say you are given 10 identical springs. How would you develop a scale of force (i.e., a means of producing repeatable forces of variety of sizes) using these springs?
Homework Equations
None that I can think of.
The Attempt at a Solution
My guess is that...
Homework Statement
A particle (4m) is suspended from a fixed point by a spring of stiffness k and natural length l0. An identical 2nd spring is attached to this particle, and a mass (3m) is attached to its end. The system hangs vertically in equilibrium.
Take the datuim of P.E. a in each...
For the design of a cantilever, assuming a Hookean material is used below its proportionality limit, stress will be proportional to strain. From this we can conclude that its behavior will be linear.
However, how can we apply this knowledge towards helical springs? Is it possible to design a...
Homework Statement
A train of total mass 1.02x10^5 kg strikes a buffer that behaves like a spring of stiffness 320kN/m with an initial velocity of 0.15m/s
Calculate the maximum compression of the spring.
Homework Equations
P=mv
The Attempt at a Solution
P=mv
= 15300kgm/s...
Homework Statement
Your niece is working on a unique science fair project - a clock built around a small mass vibrating on a little spring. Her prototype version is working ok, but it's running too slow. Given your experience in this course, you suggest to her that a stiffer spring should...
Homework Statement
A mass m is dropped from a height H onto a hard, flat surface. When it collides with the surface, it rebounds with the same speed it had before the collision. However, there is a constant force of air resistance f acting on the mass as it undergoes this motion. Answer the...
Homework Statement
"Two light springs have spring constants k1 and k2, respectively, and are used
in a vertical orientation to support an object of mass m. Show that the angular
frequency of small amplitude oscillations about the equilibrium state is
[(k1 + k2)/m]^1/2 if the springs are...
Homework Statement
http://img529.imageshack.us/img529/3814/hookes.jpg
Assuming spring constant for system A (left) is k
Then system B (middle) is k/2 and system C (right) is 2k
http://img15.imageshack.us/img15/7238/87792676.jpg
How about this system? Thanks for helping...
Homework Statement
When a spring (with spring constant k)and length L is cut into 2 identical parts,determine the new spring constant of the springs
Homework Equations
F=-kx
The Attempt at a Solution
I only know the spring constant is a measure of the stiffness of a spring and (I...
Homework Statement
2. Two helical springs of the same initial length are made from the same circular section wire and have the same number of coils. They are assembled co-axially and are compressed between two parallel plates by a force of 450 N. The mean coil diameters of the outer and inner...
Homework Statement
Three springs, A (spring constant k), B (spring constant 2k) and C (spring constant 4k) are serially joined and are vertically hanged from a ceiling with spring A at the top, spring B in the middle & spring C at the bottom. All three have the same relaxed length of L. The...
Homework Statement
An automobile can be considered to be mounted on four identical springs as far as vertical oscillations are concerned. The springs of a certain car are adjusted so that the oscillations have a frequency of 3 Hz.
(a) What is the spring constant of each spring if the mass of...
Hallo,
I'm looking for explanation for the fact that in many diesel engines we have two springs supporting the piston valves such that one is exterior and the other interior and they have opposite helical direction. Also if anyone have a link or any information it would be very helpful.
I would like to make some custom made extension springs out of music wire. Can anyone provide the formula's to determine the wire thickness, coil diameter and coil length to achieve a desired spring constant?
The motivation is that I need some small springs in my research and it is difficult...
Let's say there's a lab where one hangs weights off a spring, and graphs the length and weight to find the spring constant.
Graphs have the independent variable--weight in this case--on the x axis, and the dependent variable--length--on the y axis. So, by that method, the graph should be...
I apologize if this is a silly question, but i swear it is not a homework assignment (or, it may be to someone somewhere, but that is no the reason i am interested in it).
If you have a number of pins suspended through vertical platters such that they just touch, they will exhibit the...
So I am trying to follow along this example in the text to find keq of the system.
I can follow everything up until the point that they say: "It follows that x=2(x1+x2)
where:
x = displacement of mass
x1 =displacement of Pulley1cm
x2 =displacement of Pulley2cm
I am not...
Homework Statement
Using experimental values for mass and period of oscillations, I'm trying to graph period^{2} (y-axis) against mass (x-axis) to get a gradient = 4(pi^{2})/k so I can find k (spring constant).
The problem is that when I use each pair of results in the equation below, I...
Homework Statement
Ok sorry for the horrible drawing i freehanded it on paint.
The 5lb collar is released from rest at A and travels along the smooth guide. Determine the speed of the collar just before it strikes the stop at B. The spring has an unstretched length of 12in. k=2 lb/in...
From "Differential Equations" 3rd Edition, Blanchard/Devaney/Hall
Section 2.3, Question #13
I have the final answer from the text, as well as my Professors take (class has 7 people).
Looking for a more thorough explanation. Work has already been graded, but I still don't get it completely...
Homework Statement
You are designing a delivery ramp for crates containing exercise equipment. The crates weighing 1470 N will move at a speed of 1.80 m/s at the top of a ramp that slopes downward at an angle 25.0. The ramp exerts a kinetic friction force of 540 N on each crate, and the...
Homework Statement
A spring of negligible mass and spring constant k, hanging vertically with one end at a fixed point O, supports a mass m, and beneath it as second, identical spring carrying a second, identical mass.
Using a generalised coordinates the vertical displacements x and y of...
Homework Statement
A mass M is connected between 2 stretched springs, as shown. The equilibrium length of each spring is L, they are stretched to twice this length when m is in equilibrium. Consider the oscillations in the + and - x direction as shown in the figure...
Homework Statement
The ends of two identical springs are connected. Their unstretched lengths l are negligibly small and each has spring constant k. After being connected, both springs are stretched an amount L and their free ends are anchored at y=0 and x= (plus minus)L as shown (Intro 1...
In the laboratory, you are given a cylindrical beaker containing a fluid and you are asked to determine the density ρ of the fluid. You are to use a spring of negligible mass and unknown spring constant k attached to a stand. An irregularly shaped object of known mass m and density D(D>>ρ)...
Homework Statement
Two blocks (m = 1.22 kg and M = 8.73 kg) and a spring (k = 344 N/m) are arranged on a horizontal, frictionless surface, with m resting on top of M and the spring attached to a wall and M. The coefficient of static friction between the blocks is 0.42. Find the maximum...
Homework Statement
Suppose you were kidnapped and held prisoner by space invaders in a completely isolated room, with nothing but a watch and a pair of shoes (with shoelaces of known length). Explain how you might determine whether this room is on Earth or on the moon.
Homework Equations...
how would u implement kinetic friction and springs into a momentum question?
None of the questions in my textbook shows a momentum+friction/springs question
lets say
Car A (350 kg) is traveling 60 m/s east and car B (400 kg) is traveling 30 m/s west. The collision is completely elastic...
If I have mass-spring system with certain damping factor, what is the expected reduction in the damping if the mass is reduced by 25% and the spring stiffness by 50%? It is clear that the damping will decrease but how much? can anyone helps me in that?
Homework Statement
A block of mass 5kg is attached to a spring with a spring constant, k = 200N/m, and hangs down so that it rests on a table as shown below.(Sorry no picture) This causes the spring to strech by 10 cm from its equilibrium length. Assume the static coefficient of friction...
Homework Statement
A rod of length l and mass m, pivoted at one end, is held by a spring at its midpoint and a spring at its far end,on both pulling in opposite directions. The springs have constant k and at equilibrium, their pull is perpendicular to the rod. Find the frequency of small...
Homework Statement
Consider the four block-and-spring systems shown. Each block moves on a horizontal, frictionless table. The blocks all have the same mass and all of the springs are identical and ideal with spring constant k. At the instant shown, each block is released from rest a distance...
Homework Statement
The equilibrium length of a certain spring with a force constant of K = 260N/m is 0.25m
What is the magnitude of the force that is required to hold this spring at twice its equilibrium length?
Homework Equations
Hookes Law F=Kx
The Attempt at a Solution...
Friction/Springs/HELP!
An object of mass m=2.6 kg is traveling on a horizontal surface. The coefficient of kinetic friction between the object and the surface is µk=0.16. The object has speed v=0.65 m/s when it reaches x=0 and encounters a spring. The object compresses the spring a distance...
Homework Statement
A 700 g block is released from rest at height h0 above a vertical spring with spring constant k = 380 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring 24.0 cm.
(a) How much work is done by the block on the...
[b]1. When seven people whose average mass is 83 kg sit down in a car they find that the car drops down 0.87cm lower on its springs. Then they get out of the car and bounce it up and down. The acceleration of gravity os 9.8m/s^2.
What is the frequency of the car's vibration if its mass (empty)...
So currently I'm in school for Mechanical Engineering, though I got a general question.
I could have sworn that I read in my physics book working up to the point I am now reading that as long as a spring isn't pushed past it's stress point that it should last forever. Though now I have had...
Homework Statement
The spring in the figure (link 1) (a)is compressed by length \Deltax. It launches the block across a frictionless surface with speed v0. The two springs in the figure (link 2) (b) are identical to the spring of the figure . They are compressed by the same length \Deltax...
A toy cannon uses a spring to project a 5.30 g soft rubber ball. The spring is originally compressed by 5.00 cm and has a force constant of 9.00 N/m. When it is fired, the ball moves 16.0 cm through the horizontal barrel of the cannon, and a constant frictional force of 0.0320 N exists between...
In Figure 7-52, two identical springs, each with a relaxed length of 50 cm and a spring constant of 400 N/m, are connected by a short cord of length 10 cm. The upper spring is attached to the ceiling. A box that weighs 105 N hangs from the lower spring. Two additional cords, each 85 cm long, are...
Homework Statement
A spring with k = 40.0 N/m is at the base of a frictionless 30.0° inclined plane. A 0.50 kg object is pressed against the spring, compressing it 0.4 m from its equilibrium position. The object is then released. If the object is not attached to the spring, how far up the...
http://img232.imageshack.us/img232/9219/blockandspringsup8.gif
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 the relaxed springs is d = 2.8 m. The left spring is initially compressed a maximum of dleft =...
Homework Statement
If a person holds a 30cm spring and compress on it with a force of 100 N (where k = 1000 N/m), by how much is the spring shortened.
Homework Equations
Hooks ' Law: F = -k* deltaX
The Attempt at a Solution
The answer for this is 10 cm: 10 = -1000...