A trampoline is a device consisting of a piece of taut, strong fabric stretched between a steel frame using many coiled springs. Not all trampolines have springs, as the Springfree Trampoline uses glass-reinforced plastic rods. People bounce on trampolines for recreational and competitive purposes.
The fabric that users bounce on (commonly known as the "bounce mat" or "trampoline bed") is not elastic itself; the elasticity is provided by the springs that connect it to the frame, which store potential energy.
Consider a 5 m diamter trampoline. It has an area of not quite 20 m2
If a jumper sinks 1 meter into the mat at center, the volume of the displacement cone is 6.5 m3 (1/3 base of cone times height)
Because air as to move in over the top, as well as get out from under, the air moved per jump...
Trampolines are in effect coupled springs, with the mat being the much softer spring generally.
E.g. On my Acon, when jumping about 1 meter, there is a max cone of depression about 60 cm deep and 1 meter across (1 meter point has a depression of only about 10 cm) At this same point the 160 or...
I was able to calculate the correct answer (given by a solution sheet), V=5.364 m/s, using the momentum impulse equation, P0+J=Pf. If this value is correct, however, I don't understand how energy is being conserved. The speed increases after the person bounces off the trampoline while the mass...
There is a trampoline drawn here and a graph of the spring force vs height.
I don't see why the spring force is decreasing at a decreasing rate with respect to height above trampoline.
F= kx = k * h/sin(theta), letting theta be between the horizontal and the spring.
Summary:: Strap a weight-measuring bathroom scale to your feet and jump on a trampoline: weight measurements at different points of each jump? What is the longest part of the cycle you are in the free-float frame?
I am studying Spacetime Physics 2nd ed. by Taylor and Wheeler at the suggestion...
My son has autism. He is 15 and weighs 235 pounds. He is also 6 feet tall. He loves to jump on his trampoline in our living room, yeah I have a trampoline in my living room. We live on the 2nd floor of an apartment. I noticed the ceiling in my downstairs neighbor's home bending a little every...
English isn't my main language, so I apologize in advance if something is unclear.
We are leaving air resistance out of this problem!
1. Homework Statement
We are going to describe the force F from the trampoline on the Joe as F = kx, k is a spring constant. This is a model.
1. Joe drops...
Homework Statement
When accelerating upward off a trampoline, how would you depict this on an acceleration-time graph? I know kinematics is the study of motion without a strict regard to the forces that are capable of changing motion, but according to Newton's 2nd law, an object accelerates in...
Homework Statement
You jump straight upward off a trampoline with an initial velocity of 30 km/h. How high above the trampoline will you reach?
Homework Equations
v2=v1 + a x t & v2(square root)=v1(square root) + 2adThe Attempt at a Solution
I tried 30km/h into the...
I've been experimenting with aggregate stability of kite networks. ... Kite like to fly in networks.
And I've written this about it.. https://drive.google.com/open?id=0B0qQxFlXu7t-RGpqRk1ZYXNISkU
For the upcoming Airborne Wind Energy book.
Today though... I want to know what thickness of bungee...
1. The problem statement, all variables and given/known
Spring constant of trampoline and cradle
Homework Equations
k=F/x
The Attempt at a Solution
I think a trampoline should have a low spring constant so that the extension is bigger. Is this correct? For cradle, in my opinion, it should have...
I'm an mobile developer. I'm developing system that detects and counts jumps on a trampoline. I will describe in few words the architecture of system.
The system consists of a trampoline, three-axis accelerometer attached to the bottom of the trampoline and a smartphone. All communication...
Homework Statement
A gymnast of mass 40kg is practising on a trampoline.
The gymnast lands with a speed of 6.3m/s. The gymnast rebounds with a speed of 5.7m/s.
a) Calculate the change in momentum of the gymnast
b) The gymnast was in contact with the trampoline for 0.50s. Calculate the...
The trampoline analogy tries to explain gravity in terms of space time curvature
the orbit of objects around a massive object can be understood, but what about centre of gravity of the massive object, the images of trampoline is generally shown as seen from top where the massive object is making...
1. Homework Statement
A spring-like trampoline dips down 0.07 m when a particular person stands on it. If this person jumps up to a height of 0.35 m above the top of the uncompressed trampoline, how far will the trampoline compress after the person lands?
2. Homework Equations...
Homework Statement
A gymnast springs vertically upward from a trampoline. The gymnast leaves the trampoline at a height of 1.20 m and reaches a maximum height of 4.80 m before falling back down. All heights are measured with respect to the ground. Ignore air resistance, determine the initial...
In popular perception of curved spacetime the metaphor of trampoline and a dimple on it is often used to explain general relativity.
I see that this may explain the spatial curvature and show how the only straight line in curved space around Sun for planets like Earth would be a timelike...
Homework Statement
A student jumping on a trampoline reaches a maximum height of h = 0.96 m. The student has a mass of m = 58 kg.
What is the student's speed immediately before she reaches the trampoline after the jump in m/s?
answer: 4.338
If, when she lands on the trampoline, she...
Homework Statement
Imagine a trampoline. Define downwards displacement as positive and upwards displacement as negative. A jumper jumps and lands on the trampoline. The given variables are x_{\max}, the maximum position of the jumper, k, the spring constant of the springs of the trampoline...
Homework Statement
A spring-like trampoline dips down 0.08 m when a particular person stands on it. If this person jumps up to a height of 0.26 m above the top of the trampoline, how far with the trampoline compress when the person lands?
I am very lost! Please help!
Homework Equations
F=kx...
Hello,
I want to write code for a 2D trampoline simulation and try to understand the physics behind it.
After a lot of googling, I think I understand the whole stuff regarding potential/kinetic energy etc.
However, every explanation I found makes the simplifying assumption that the...
Hi!
I'm trying to help my 5th grader with her science fair project - she's comparing how a trampoline would work on Earth vs. the moon.
The trick is in the force of the jump I think - what the jumper herself puts into it. The larger the downward force she exerts on the mat the higher she...
I was hoping that somebody could explain the physics behind a person bouncing up and down the trampoline. I know the basics as far as what happens to Kinetic Energy, Elastic potential energy, and gravitational potential energy...but there certainly has to be more than this, right? Can someone...
A 73 kg trampoline artist jumps vertcally upward from the top of a platform with a speed of 4.8 m/s.
a) What is his speed as he lands on the trampoline, 2.6 m below his jump off point? Express your answer to 2 significant figures.
= 8.6 m/s (already figured out this to be the correct...
Currently I am making a small video game where a cat is constantly falling through the sky! I want to add in some trampolines that when hit you will bounce according to the trampolines angle.
What equation would I use to perform this function?
I have provided a picture to help...
Homework Statement
Alex jumps off the edge of a trampoline at an angle of 40 degrees to the horizontal. The trampoline is 0.85 meters above the ground and Alex is in the air for 0.64 seconds.
(I did a rough sketch of it)
Calculate how far away from the edge of the trampoline Alex lands...
Hi
I'm just trying to understand the mechanics of a trampoline, as i think it will better understand my understanding of mechanics as a whole. This is my model:
We have some plastic fabric which we will assume is inelastic. A circular trampoline where we have 30 identical springs which are...
Homework Statement
Is Momentum of a person bouncing on a trampoline conserved?
Homework Equations
p=mv
conservation of momentum equation
The Attempt at a Solution
Please explain in detail (if possible). Thanks!
Hi--
I'm doing an end of year project on the physics of trampolines. Anyone who has ever trampolined before knows that you can "double bounce" a person, such that one person bounces right before the other, thus launching the second bouncer higher into the air. In order to do a physics experiment...
Homework Statement
A 60 kg person jumps from a platform onto a trampoline 10 m below, stretching it 1.0 m from its initial position. Assumin that the trampoline behaves like a simple elastic spring, how much will it stretch if the same person jumps from a height of 20 m?
Homework...
Homework Statement
So I am jumping on a trampoline and need to look at the different systems and which ones are conserving energy and which ones are not conserving energy. Time-initial= when I am at the lowest point of the trampoline, and Time-final= when I am 1/2 on my way down.
Systems ...
Homework Statement
For example, if given a question that has an object dropped onto a trampoline, the object will expand the trampoline when it hits it, would the acceleration be negative after the trampoline expands for example 1 meter?
Homework Equations
The Attempt at a Solution
If the spring is too soft...it will either break or won't be able to rebound it...if it is too hard, it won't even bend in order to spring it...so what is the optimum flexibility?Fundamentally...whenever there is a collisions, first, the both objects bend, then they push each other apart...I...
suppose you had a trampoline that you could increase the tension in between jumps so that every time you landed. (and there is plenty of room between the surface and the ground) what would happen .what if someone double jumps then two people etc.. would your jump height keep increasing
Homework Statement
For my math class, I had to come up with a real-life scenario where data that is extracted from the scenario can produce a sinusoidal function, and I have to graph the function. My scenario involves a person bouncing up and down on a trampoline, while always staying in...
Homework Statement
For my math class, I had to come up with a real-life scenario where data that is extracted from the scenario can produce a sinusoidal function, and I have to graph the function. My scenario involves a person bouncing up and down on a trampoline, while always staying in...
A 75 kg trampoline artist jumps vertically upward from the top of a platform with a speed of 4.0 m/s. the tampoline is three meters below the platform.
(b) If the trampoline behaves like a spring of spring constant 5.2 104 N/m, how far does he depress it?
when he depressed the...
Tough trampoline problem...help?!
Hi there...i've recently been set a problem in one of my modules and need some help as to how to solve it, it goes as follows...a person jumps from a height (x) onto a trampoline, the person desires to bounce for 30 seconds without any effort of their own, but...
A girl of mass m_1 = 60 kilograms springs from a trampoline with an initial upward velocity of v_i = 8.0 meters per second. At height h = 2.0 meters above the trampoline, the girl grabs a box of mass m_2 = 15 kilograms. View Figure
For this problem, use g = 9.8 meters per second per second...
At school, my teacher asked us a question, where he didn't know the answere on too. The other teachters were not agreed to each other about the answere.
This is the question:
A trampoline jumper jumps with jumpingstilts ( http://www.tanomi.com/shop/images_item/poweriser_01.jpg ) (shoes...