Please see attached for problem and schematic
I know from the question i should expect a decaying exponential funtion.
Input: a unit impulse denoted in the laplace transform is 1
outputs: -Kx0 - Cdx/dt
-Kx0 - Cdx/dt +1 = 0
factorise
X0 ( -K - C*S) + 1 = 0
-1 / ( -K - C*S ) =...
Homework Statement
From Boyce and DiPrima's Elementary Differential Equations (9th Ed.), Section 6.5, Problem 13:
Consider again the system in Example 1:
2y'' + y' + 2y = \delta(t-5); y(0)=y'(0)=0
(Solution in text...
can someone do a design of a FIR filter using the Window design method by hand as an example and post it? Please do not use mat lab. I would like to learn how to do it myself by hand. I have been have use Google but no luck .
all the pages I have seen use mat lab in their example.
So I...
Homework Statement
What is the magnitude of the Impulse exerted on a 920-kg car as it slows from 24.3 m/s to 12.9 m/s while traveling in a straight line?
The Attempt at a Solution
I was thinking 920(24.3 m/s) and 920(12.9 m/s) and subtract the two.
Not totally sure tho.
A model rocket is constructed with a motor that can provide a total impulse of 27.5 N · s. The mass of the rocket is 0.173 kg. What is the speed that this rocket achieves when launched from rest? Neglect the effects of gravity and air resistance.
i know that the equation is p=mv (vector...
The transfer function of a passive bandpass filter has one zero and two poles.
The filter is:
Signal -> L -> C -> R -> Gnd,
where the signal is the input and the voltage across R is the output.
H(s) = \frac{sRC}{s^2LC+sRC+1}
Initial value theorem states that it's impulse response has...
Hello everyone,
I do not need homework-guidance, but having read the COC, I decided this was the best suited place for my question. It's a conceptual-understanding type of question.
I am trying to fully understand some new physics concept, namely momentum and impulse.
ƩF = dmv/dt
I...
Homework Statement
Two equal spheres of mass m are suspended by vertical strings so that they are in contact with their centres at the same level. A third equal sphere of mass m falls vertically and strikes elastically the other two simultaneously so that their centres at the instant of impact...
Homework Statement
Stick of mass M resting on frictional surface with friction coefficients μk=μs. From the center of the stick at time t=0 a ball of mass m thrown to the right with an angle θ above the horizontal and with speed v0. As a result of the throwing there is an impulse on the y...
Homework Statement
I am confused with the idea that the value of a delta function is infinity but when given a graph why is there an amplitude/magnitude value for the delta function. I have attached a graph. Assuming the phase is zero I'm trying to write a Fourier transform for it.
Homework...
I have been trying to derive an equation to represent how a bag full of fluid would react when dropped dependent on the fluids viscosity. Basically i have the general impulse equation: F∂t=∂P but the time is dependent on the fluids viscosity (higher viscosity the longer it takes for the impact...
Homework Statement
2 particles travel towards each other at 10ms-1. Particle 1 has a mass of 10kg and particle 2 has a mass of 30kg. It is an inelastic collision.
Find the magnitude of the Impulse of particle 1 and 2.
Homework Equations
I=Ft=mv-mu
m1u1+m2u2=(m1+m2)V
The Attempt at...
Problem: A nuclear generator produces energy used to accelerate a rocket. Given energy and mass, what is the acceleration a?
Nuclear generators produce energy in GeV or joules which have the dimensions L-2T-2M which has a force-over-distance (MaL) component which seems inappropriate or at...
I read a dumb article on a UK mathematician modeling a zombie take over with impulse differential equations. Unbeknownst to me, were impulse DE and the fact that they are used in orbital mechanics. I am unable to find much on this topic tough. I believe it is relative new (1990).
Does...
Hello people,
I would like some references, be it book or papers about the process of neural impulses at a single neuron level.
My only reference so far is a book from 1974 (Stochastic models in biology) and so is probably outdated despite having around 30 pages on the subject.
The more...
Hi!
I've been trying to model the Saturn V's velocity using Tsiolkovsky's ideal rocket equation, and in the process, I think I may have made a mistake with regards to the specific impulse?
I've come up with the following equation, taking the change in gravity into account. (a(t) is the...
Hello, I am taking physics 12U through correspondence. I am having issues with this problem. I don't know why but I feel like I made a mistake in this. Can you guys check this question and verify my results.
Thanks, very much. :smile:
Homework Statement
A baseball with a mass of 0.152...
A 5.0 kg object is accelerated from rest to 6.0 m/s while moving 2.0 m across a level
surface. If the force of friction is 4.0 N, calculate the power output
I used d=vt to find the time which was .33sec then i put that into P=Fd/t and had (49-4)(2)/.35 and got 270 Watts
1. A particle is initially traveling to the right when it hits a wall and turns around to the left. The momentum after the collision is less than the initial momentum.
a)impulse on the particle is to the left
b)impulse on the particle is to the right
c)no impulse on the particle
d)none...
A softball of mass .4kg is pitched at a speed of 24 m/sec, the batter hits it back directly at the pitcher at a speed of 20 m/s. The bat acts on the ball for .015 secs. A: What is the impulse imparted on the ball? B: What is the average force exerted by the bat on the ball?
pi= mv pi=...
Homework Statement
A male and female pair of dancers start dancing when the male lifts the female and throws her into the air. The female's mass is 40kg . The male exerts an average vertical force of 500n for 1.0s on the female.
What is her vertical velocity when she is released into the air...
Hey experts,
I have the following differential equation with an impulse described by the Dirac delta function
dx/dt (t) = - a⋅x(t) + d⋅delta(t) x(0)=0
with a,d scalars. My problem is this delta function in the right hand side.
Is there an equivalent formulation without the delta...
I recently took a crash course that included some topics in fluid mechanics. I learned that you can use the concept of impulse and momentum the calculate the force of fluid, for instance a jet of water on a turbine blade. The equations used are:
ƩFx = ρQ(Vx1-Vx2)
ƩFy = ρQ(Vy1-Vy2)
I...
Homework Statement
A baseball strikes a bat. It's moving at 40m/s to the left horizontally. When it hits the bat it leaves at 60m/s with an angle of 30 degrees to the horizontal. The mass of the ball is 0.25kg. Homework Equations
P(momentum)=mv
Pf-Pi=ΔP
ΔP=J(impulse)
The Attempt at a Solution...
Homework Statement
Which will be more effective for knocking a bear down,A Rubber bullet or a Lead bullet of same momentum?and WHY?
Homework Equations
Equation for impulse of a body= F x t = MVf-MVi (change in momentum)
The Attempt at a Solution
I have no clue so please tell me...
Homework Statement
Assume that the athlete approaches the take-off line from the left with a horizontal
velocity of 10m/s, remains in contact with the ground for 0.1s, and take off at a 60°angle
with a velocity for 10m/s, determine (1) the vertical component of the average impulsive
force...
I attempted by inputting u(τ-t)u(t-τ) into the second part of the integral. Since I want to change the second part of the integral to go from [+∞, -∞]. And as for first part of the integral I added a u(t-τ) term after the x(τ) to change the integral from [t,-∞] into [+∞, -∞]. I am not sure if I...
Hi all,
I am faced with this question, I am stumped as it is presented in a different way to what I am used to:
The output from a FIR filter for a unit step input u[n] is
y[n] = δ[n] + 3 δ[n - 1] + 6 δ[n - 2] + 10 δ[n - 3] + 15 u[n]
What is the impulse response of the FIR filter?
A...
Hey everyone, the question I am faced with is this:
Which of the following expressions involving δ[n] is incorrect?
where "m" is a non zero integer and u[n] is the unit step function.
A. u[n-m] = δ[n] + u[n-m+1]
B. x[n]δ[n-m] = x[n-m]
C. δ[n] = u[n] - u[n-1]
D. δ[n]δ[n-m] = 0...
My problem/issue has come up with part C of this question but it won't make sense unless I post parts A and B first and I would be grateful if you could check them whilst they are here :) .
Homework Statement
an object that has a mass of 800g drops from a height 2.5m. Once it has hit the...
Homework Statement
3 equal masses at rest break apart as shown. Find the 3rd velocity
Homework Equations
http://i168.photobucket.com/albums/u175/kingzer2/Photo2013-04-14073115PM_zps0ee829e4.jpg?t=1365985942
The Attempt at a Solution
I really have no idea how to do this :( sorry
Homework Statement
Homework Equations
The Attempt at a Solution
The change in velocity = a * change in ω
I think that makes sense since for pure rolling v = aω
16 marks like that?
Homework Statement
When a person parachutes, the impact velocity is equal to that attained in free fall from a height of 4.5 m. After contacting the ground, the jumper’s momentum is quickly brought to zero by the earth. Assuming that the person has a mass of 80 kg, what is the average force on...
Homework Statement
Two particles of masses 8 kg and 5 kg are connected to the two ends of a light inextensible string which passes over a fixed smooth pulley. Initially each of the two particles are held at a position which is 5 m above a horizontal ground. The objects are then released from...
1. Problem statement and all known variables
The world champion head butter Angus Macbangus can accelerate himself from rest to head-butting speed of 8.5m/s. Since the upper body is involved in a properly executed head-butt, the effective mass of the head is 24kg. (Label the direction the head...
I made a circuit to generate a periodic impulse signal ,i.e, one impulse generated and a zero for around 1us and then repeated again, but ended up with continuous impulses. Is there a circuit which could add zeros in between two impulses?
Here one impulse could be viewed as a |sin(x)|...
Hey guys,
Alright, I feel like this is super easy, but for some reason, I'm not getting the right answer. Could you guys point out my flaw? There are (one can say) three coequal theories of motion for a single particle: Newton's second law, stating that the total force on an object causes its...
1.So the problem given is the following, "A small wooden block with mass 0.775 kg is suspended from the lower end of a light cord that is 1.58m long. The block is initially at rest. A bullet with mass 0.0134 kg is fired at the block with a horizontal velocity v0. The bullet strikes the block...
I'm working on a hard sci fi story, so I'm trying to get the technical details right - but I don't actually have a background in space travel, astrophysics, orbital mechanics, etc, so I'm running up against my own ignorance. I've Googled it, read the wiki, read NASA's site, and I'm still...
Homework Statement
For a zero initial deflection and for a finite initial velocity, the time dependence of the vibration response of an overdamped system to an impulse is given by:
(1) θ(t)=[I/(mω)√(ζ^2-1)][e^-(ζωt)][cosh(ω√(ζ^2-1))t]
which for large values of time becomes:
(2)...
Is it possible to consider a short (20ns) impuls of only one polarity as a short segment of direct current in a simple circuit where the reflections are to be analyzed? If not, how should I treat this kind of voltage waves?
The voltage is obviously not constant, but I wonder if it is possible...
Homework Statement
Hi,can someone explain to me through real world examples what the unit step and unit impulse means in systems control?How are they related to the system's input? Thank you.Homework Equations
δ(t) = unit umpulse
u(t) = unit stepThe Attempt at a Solution
Hi all. A problem I was working on required that I find the impulse response where I am given the output function ( y(t) ) of a system in terms of the input ( x(t) ). I read somewhere that to find the impulse response, you need a function that relates the output and the input, then you...
I am reading "Linear System Theory and Design" by Chen and he says (in what follows g(t,tau) is the impulse response function):
If a system is causal, the output will not appear before an input is applied. Thus we have Causal <==> g(t,tau) = 0 for t < tau.
However, this seems incorrect...
1. The problem
I have trouble understanding slope and area on graphs. For a force as a function of time graph the area is equal to the impulse. Why is that? And what is the slope equal to? How do I know?2. Homework Equations
p=mv
fΔt=mΔv
3. The Attempt at a Solution
So the slope should be...
Homework Statement
The 30-kg reel is mounted on the 20-kg cart. If the cable wrapped around the inner hub of the reel, with radius 150mm, is subjected to a force of P=50 N, determine the velocity of the cart and the angular velocity of the reel when t=4 sec . The radius of gyration of the reel...
Homework Statement
Find the impulse response of a system with transfer function H(S) = (s+3)/(s^2+2s+1)
or H(S)=(s+3)/[(s+1)^2]
Homework Equations
Poles are s1=s2=-1
y = Ae^st + Be^st
The Attempt at a Solution
In my notes I do not have an answer for the case when there is...
Homework Statement
The "force platform" is a tool that is used to analyze the performance of athletes by measuring the vertical force as a function of time that the athlete exerts on the ground in performing various activities. A simplified force vs. time graph for an athlete performing a...