Work is defined as force times displacement. When the force is applied on an object which does not move, or is applied perpendicular to the direction of motion, the work done is zero.
So let's say I hold an object with a mass of 1 kg still in the air for 10 seconds. Because the object does...
Homework Statement
Transfer functions of the continuous compensation links are given as follows. Find the impulse transfer functions of the digital compensation links using the impulse invariant method.
\frac{a}{s+a}
I don't know how to solve the problem correctly :cry:
Homework...
Homework Statement
[The problem is in the attached image]
Homework Equations
The Attempt at a Solution
My best guess is to break up the graph into two triangles one positive, one negative and then calculate and add the impulse of both of these triangles... Is that what you're...
Homework Statement
Two identical circuits are cascaded, without the second circuit having any loading effect on the first circuit. If the laplace transform of the impulse response of the cascade is 4/(s+1)^2. a)determine the impulse response of each circuit alone as a function of time.
b)if...
Homework Statement
An LTI digital system with impulse response h[n] = 2(1/4)^n u[n-1] produces an output y[n] = (-3)^n u[n-1]. Determine the corresponding input x[n].
Homework Equations
I believe that Y[z] = X[z]H[z]
The Attempt at a Solution
So I started by finding the...
Hi there, I have a short thought that I want to share with all of you and see if there has been something written about it and, if not, why not?:
A free particle spin is something that can take a discrete range of values, as it happens with electromagnetic or colour charge. However the other...
Homework Statement
find tension in cable and velocity of B after 5 seconds. System released from rest. no slipping, neglect weight of pulley and cable.Homework Equations
τ(t) = Iω
Parallel axis theorem?
The Attempt at a Solution
Picture of problem: http://i49.tinypic.com/5ue7sx.jpgthe question...
Consider the passive high-pass filter that consists of a resistor (R) and a capacitor (C). The frequency response is
H(\omega)=\frac{j\omega C R}{j\omega C R + 1}.
What would be the impulse response of this high pass filter? This question translates to how to evaluate the following Fourier...
Hi,
I'm having trouble understanding what the relation is between the impulse of a force during a collision and the changes in linear and angular momentum during the collision.
I know that the principle of conservation of linear momentum says that the total linear momentum before is equal...
Homework Statement
Lets say I have a ball rolling on a flat frictionless surface. I give it an impulse to set it into rolling without slipping at a speed u. The mass of the ball is m and the radius is a. How large is the impulse and where is it applied
Homework Equations
I guess linear...
I've been told that to calculate the difference equation of an LTI system, you simply take the sample values of the impulse response as the coefficients of the x[n-k] terms in the difference equation. i.e. if h[n] = {1, 0.5, 0.25, 0.125} for n>=0, then y[n] = x[n]...
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...
Okay so we have an impulse and momentum lab and I have to do the data analysis for my group. Usually I find the data analysis calculations a cathartic processes but I am totally stuck for this one. I am in a calc based physics lvl 1 course dealing in Newtonian mechanics. Anyway for the lab we...
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
Find the impulse and frequency responses of the following systems:
1. y(n) = \frac{1}{N+1}\sum_{k=-N}^{N}(1-\frac{|k|}{N+1})x(n-k)
2. y(n)=ay(n-1)+(1-a)x(n), where 0<a<1
Homework Equations
The Attempt at a SolutionOk so for 1. I look at h(n) which is...
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...