Homework Statement
How do i find the impulse response, h(t), given the following?
f(t) = 8t u(t)
y(t) = (-2e^-2t + 8e^-t + 4t - 6) u(t)Homework Equations
f(t) convolved with y(t) = h(t)
The Attempt at a Solution
I thought that you divide out y(t) by 8t to make f(t) = u(t) then take the...
Homework Statement
How do you do a convolution of two functions containing only impulses?
Homework Equations
Say you have 2 functions to convolve, f1 and f2.
I can't do the impulse symbol, so let's call it q.
Say f1 = 2q(t+1) + 2q(t-4) and f2 = q(t-3)
What is f1 convolved with f2? Or how...
Homework Statement
Basically I want to know what material (That I could easily access) would be great to minimize impulse in the following situation:
A car is placed at the top of a ramp with some angle less than 45 degrees and at its front there is a tracker that measures the amount of...
Homework Statement
Horizontanl force F is giving by F(x) = (2.00x + 1.00x^2) Newtons, acting on a 12.0kg box which is initially at rest and on a frictionless horizontal surface. Force is applied from x=0 to x=2.50 meters. What's the total impulse the force applies to the box?
Homework...
Homework Statement
There is a rod of length L pivoted on one end. It is originally at rest horizontally then released. When vertical, an impulse is applied to bring the rod to rest.
Throughout the question I have worked out I = 1/3 mL^2
w= √(3g/L) at the vertical position and an...
what does more damage an object w/ a high acceleration or a greater momentum
i was watching one of my favorite tv shows "Justified" and i started to wonder would a bullet moving at a greater acceleration hence greater force (F=ma) inflict more damage or would a bullet w/ a greater velocity...
HI,
I am having some trouble understanding the effects of an impulse on rolling motion, particularly without slipping.
For eg, if we take a sphere of radius R and mass M, then what is the point h above the centre C at which when an impulse is imparted, will cause pure rolling motion...
an 8.0 N force acts on a 5.0 kg object for 3.0 sec. what impulse is given to the object? what change in momentum does to his impulse cause? if the object's initial velocity is 25 m/s determine the final velocity of the object?
i have the right answers because my teacher gave them to use ...
an object #1 is motionless and has a mass 10 times greater than the mass of object #2. if object #2 has a velocity of 50.0 m/s before impacting object #1 and if the collision is inelastic determine the final velocity of the objects...
so i am confused do i mult. object #1 by 10 or object #2 i...
a baseball pitch throws a fastball to the catcher. assume the ball starts from rest in the pitcher's hand and that the ball is brought to rest in the catcher's mitt. also assume the ball loses no velocity while in flight.
how will the balls change in momentum from the pitcher's throw compare...
consider a ball falling to the ground.
a. why is momentum not conserved from the perspective of the ball? explain
b. define a system for which the momentum of the ball falling to the ground is conserved
Please check my work for the first question. The second and third questions, I'm not 100% sure how to solve them.
A ssume that a cement truck with a mass of 10,000 kg hits you while you were stopped at a traffic light, and that you are driving a Smart car with a mass of 750 kg.
1. If the...
Homework Statement
Pleaseeee someone help me with this.. its literally hurting my brain
A baseball with mass 0.152kg is moving horizontally at 32.0m/s[E] when it is struck by a bat for 0.00200 seconds. The velocity of the ball just after the collision is 52.0m/s [W20°N]
a)find the impulse...
Homework Statement
2000kg stationary cannon
25kg cannon ball fired horizontally @ 250m/s
Assume no friction acting on the cannon
***What is the velocity of the cannon after firing the ball?
Homework Equations
PT = PT’
^initial momentum = final momentum
m1v1 + m2v2 = m1v1’...
Is impulse only really used in real life because of the instruments you might have? I'm having trouble understanding why this idea is a useful physical construct. The best I found is that just like work can be thought of as a "transfer mechanism" of energy, impulse is the "transfer mechanism"...
Homework Statement
A 12.5 ball traveling at a speed of 32.4 m/s strikes a wall and rebounds with the same speed. What is the impulse exerted by the wall on the ball?
Part II A 12.5 g ball is traveling at a speed 3.4 m/s strikes the center of a 29.5 g ball of the same radius. The balls are...
A 0.145-kg baseball pitched at 35.0m/s is hit on a horizontal line drive straight back toward the pitcher at 57.0 m/s.
If the contact time between bat and ball is 2.50×10−3s , calculate the average force between the ball and bat during contact.
The equation has something to do with...
Homework Statement
Suppose there is a rod on a friction less horizontal plane and an impulse "J" is given to it at a distance "x" from its center.
Using this data I have to find out the instantaneous center of rotation.
The Attempt at a Solution
By impulse-momentum theorem,
J =...
I need help finding the maximum force of an object from an impulse graph. The graph of the force vs time gives me up to 10 seconds and the problem tells me that the impulse is 6.0 N*s. the line of the graph starts at (0,0), rises with a constant slope and peaks at 6 seconds. From there it falls...
Homework Statement
A 1400kg car is driving at a constant velocity, 5.3 m/s. It turns 90 degrees in 4.6 seconds. And then it slams into a tree and it takes 350 ms to stop the car.
What is the impulse on the car (a) due to the turn? (b)Due to the collision with the tree?
What is the...
Hello,
How would you calculate the impulse during the time which a car drives in a circle. You are given the car's mass and constant velocity and the time that the car was turning and how many degrees the car turned.
Thanks in advance!
Homework Statement
A particle P of mass 0.6kg is attached to one end of a light elastic spring of modulus of elasticity 72N and natural length 1.2m.
The other end of the spring is fixed to a point A on the smooth horizontal table on which P rests. Initially P is at rest and is 1.2m from A...
Hi all,
I'm taking a fourth year time-series analysis course for Physics students.
Homework Statement
Let us consider a simple physical system consisting of a resistor (with resistance R) and an inductor (with inductance L) in series. We apply an input voltage a(t) across the pair in...
Homework Statement
http://courses.washington.edu/mengr230/sp11/handout/n25_ImpulseMomentum.pdf
the problem at the bottom
Homework Equations
on the link
The Attempt at a Solution
I wrote out the equation and I don't really know where the friction factors in. I'm pretty much 100%...
i have a coax cable that will be used in data transmission. i have measured the open and short impedance and then characteristic impedance(Zo) for the cable. Eventually I will have a transmitter with Z_source in one end of the cable and receiver with Z_load at the other end of the cable. Is it...
when applying the principle of linear impulse and momentum , how do I know if the force should be considered impulsive or non-impulsive , how should I know if I should consider it in the equation , I already know that an impulsive force is a force that is applied for a very short time ,but in...
1. A 2 kilogram egg drop apparatus began at rest and fell through approximately 5-m. Assume that it’s momentum was changed to zero in a time of 0.25-s.
--What force stopped your apparatus?
---Mass=2kg
---Distance=-5m
---Time=.25-s
2.-Force(Time)=Mass(Velocity)
3.Velocity final for the...
Impulse Momentum Theorem + Egg Drop??
I have to explain how the impulse momentum theorem relates to my egg drop. My egg was padded with a styrofoam cup and tissues and a plastic bag parachute. Honestly, I don't understand the impulse momentum theorem and I am in need of help!
I have fall times...
A net force given by the expression A + Bt^2, where A and B are constants, is applied to a girl on roller skates in the +x direction. The girl has a mass m. The force starts at t1 = 0 s and continues until t = t2.
Force= A + Bt^2
A and B are constants
I'm not sure how to approach this...
A(n) 0.445 kg football is thrown with a speed
of 15.1 m/s. A stationary receiver catches the
ball and brings it to rest in 0.012 s.
What is the magnitude of the impulse de-
livered to the ball?
Answer in units of kg · m/s
f=m*a
Δp=m*Δv
i used f= ma since a= Δv/t
i got F=...
Why does the ''P2=P1'' (momentum before is equal to momentum after) isn't applied in cases where u throw a ball at wall?
In this case, even is the velocity keeps the same, it will be in another direction, what makes it -v...
I have been messing around with a metal ruler, a slick surface, and a small flat head screw driver at which I have inserted into a plastic tube allowing me to connect a rubber band. It is basically a "pinball" launcher, if you will. I did this to create an impulse on the ruler at a high force...
Homework Statement
A car with a mass of 1.0 X 103kilograms is moving with a speed of 1.4 X10 2m/s. The impulse required to bring the car to rest is?
Homework Equations
impulse = change in momentum...
The Attempt at a Solution
the answere is 1.4 X 105 N X S or is it the negative...
Homework Statement
a baseball with a mass of 0.152 kg is moving horizontally at 32.0 m/s [E] when it is struck by a bat for 0.00200 seconds. The velocity of the ball just after the collision is 52.0 m/s [W 20 N]
a) Find the impulse experienced by the ball
b) find the average net force of...
I am reviewing for a final and I don't know how an impulse affects the differential equation for motion in this mass-spring system. Can someone please help?
A mass m=1 is attached to a spring with constant k=2 and damping constant c=2. x(0)=0 & x'(0)=0. At the instant t=π, the mass is struck...
Homework Statement
You are given a FORCE versus TIME graph, which shows oscillations with:
A= 4N at the max points
period is 4s
spring constant (k)= 12.3 N/m
mass of block exhibiting oscillation is 4.9 kg
How do you find the IMPULSE delivered to the block during the 1st 2 seconds of...
http://a6.sphotos.ak.fbcdn.net/hphotos-ak-ash4/388044_10150449591037412_816037411_8386849_1415117382_n.jpg
Homework Statement
A ramp system is set up. Due to friction the ramp has an efficiency of 82%. Two cars of equal mass are allowed to collide and car 1 starts from rest at height h1...
Homework Statement
18. A 75 kg swimmer dives horizontally off a 300 kg raft. If the speed of the raft immediately after the swimmer dives off is 1.0 m/s, at what speed did the diver leave the raft?
A. 2 m/s B. 4 m/s C. 6 m/s D. 8 m/s E. 10 m/s
Homework Equations
p=mv
The...
Im struggling to do the following question. Any help would be appreciated
A following system has the following difference equation
y(n)+ 1/8y(n-1) - 5/8y(n-2)=1/2x(n-1)
First part is to calculate the system transfer function using the z transform. Then get the frequency response and...
Homework Statement
In a collision between two unequal masses, how does the impulse imparted to the smaller mass by the larger mass compare with the impulse imparted to the larger mass by the smaller one?
A) It is smaller.
B) The answer depends on how fast they are moving.
C) They are...
Hello everyone.
In Physics class, we did a lab where we dropped golf balls into a box of sand from a height of 9 ft (or 2.743 meters). The golf ball had a mass of .046 kg. We were not allowed to time the drop so these were the only givens. We also measured the depth of the "crater" the golf...
I am having a really hard time with dynamics of rigid bodies, but i think doing this problem will clear up some confusion i have.
Homework Statement
A massless rope hanging over a frictionless pulley of mass M supports two monkeys (one of mass M, the other of mass 2M). The system is released...
Homework Statement
The question gives a transfer function. and we are asked to put it into pole zero form and then we are asked to sketch the positions of the poles and zeros of the system on the complex plane and then sketch the impulse response corresponding to each pole.
i have...
Homework Statement
On a ride in a theme park, a carriage of mass 450 kg is travels horizontally at a speed of 18 m s–1. It passes through a shallow tank containing stationary water. The tank is 9.3 m long. The carriage leaves the tank at a speed of 13 m s–1.
e) For the carriage in (b)...
1. The problem
I have a problem grasping what the point of the sifting property of the Dirac function is.
It isolates the value at a point in a function, right?
Doesn't just substituting that point into the function do exactly the same thing?
Homework Equations
Sifting poperty:
if f(t)...
Homework Statement
Recent studies have raised concern about 'heading' in youth soccer (i.e., hitting the ball with the head). A soccer player 'heads' a size 5 ball deflecting it by 31.0°, and keeps its speed of 10.40 m/s constant. A size 5 ball has a mass of approximately 0.446 kg. What is the...
Impulse -- I am suspecting a wrong answer on the key.
A 2.4-kg ball falling vertically hits the floor with a speed of 2.5 m/s and rebounds with a speed of 1.5 m/s. What is the magnitude of the impulse exerted on the ball by the floor?
* 9.6N/s
* 2.4N/s
* 6.4N/s
* 1.6N/s
* 1.0N/s...
Homework Statement
Below is a snapshot of the question I can't seem to solve.
I can't seem to find in my textbook how to work out this problem...:(
Any pointers? Thanks!
Homework Equations
The Attempt at a Solution