Impulse Definition and 905 Threads

Homework Statement An antitank missile (m = 12kg.), when it reaches the maximum height (v = 0) explodes breaking into a large piece of 5kg. and a multitude of small pieces exiting vertically upwards with a speed of 40m / s. What is the speed of the first piece?. A locomotive traveling at...

1. what is the even part of δ(x+3)+δ(x+2) -δ(x+1) +1/2δ(x) +δ(x-1) -δ(x-2) -δ(x-3)? 2. δ= 0 x≠0; ∞ x = 0 1/2 (f(x) + f(-x)) 1/2 (f(x) - f(-x)) Knowing the piecewise definition of the delta function, and knowing 1/2 (f(x) + f(-x)) for even parts of a function. I plug this in...

Homework Statement Physicians perform needle biopsies to sample tissue from internal organs. A spring-loaded gun shoots a hollow needle into the tissue; extracting the needle brings out the tissue core. A particular device uses 8.4 needles that take 81 to stop in the tissue, which exerts a...

a system is said to be stable if its impulse response approaches zero for sufficiently large time. why? please give me an satisfying answer..

Homework Statement Find the Impulse response of this system 3y[n]+4y[n-1]+y[n-2] = x[n] + x[n-1] Homework Equations Eigenvalues = -1/3 and -1 hc[n] = k1[-1/3]n+k2[-1]n 3h[n] +4h[n-1] +h[n-2] = δ[n] + δ[n+1] The Attempt at a Solution I know that normally we would plug in hc[n] for two...

Homework Statement If the magnitude of the Earth's momentum is P, what is the magnitude of the impulse that the sun applies to the Earth during six months? Homework Equations The Attempt at a Solution I know the solution is 2P, and I'm pretty sure it's just due to the change in...

I have two question that I don't know how to start. 1st question, three particles A, B and C of equal mass m lie on a horizontal suface at the vertices of an equilateral triangle; they are joined by light inextensible string. An impulse I is applied on C in the direction of BC. Find the speed...

Homework Statement What is the impulse on a 3.0 particle that experiences the force shown in the figure (Figure 1) ? Figure 1: http://session.masteringphysics.com/problemAsset/1382988/2/09.EX04.jpg Homework Equations Impulse equations, force equations, how they relate. The...

Homework Statement a 200-g projectile is fired with a velocity of 900m/s towards the center of the 15-kg wooden block, which rests on a rough surface. If the projectile penetrates and emerges from the block with a velocity of 300m/s, determine the velocity of the block just after the...

Homework Statement A bullet of mass m = 17.6 g traveling horizontally at speed vo = 565 m/s strikes a block of mass M = 678 g sitting on a frictionless, horizontal table. This time, however, it comes out the other side of the block at speed v = 524 m/s. Calculate J, the magnitude of the...

Homework Statement A rubber ball of mass m = 0.225 kg is dropped from a height ho = 5.92 m, and it rebounds to a height hf = 4.58 m. Assume there is no air friction. Find J, the magnitude of the impulse exerted by the ground on the ball. Homework Equations I = Ft Energy...

Is this true: h(t)* Heaviside(t-t0) = h(t0) If this is true saves my work a lot. It appears not to be true I tried proving it...

Hi all, I'm having a lot of trouble understanding this step response: Problem statement: Consider an LTIC system with impulse response given by: h(t) = u(t) - u(t-2) Sketch the step response s(t). I've already sketched h(t)...but, I know that the step response is found by...

Hello, I have been looking for a decent electrical forum for quite some time now. Here is my problem. I own a service and rewind company where we rewind and service electrical motors. We also repair servo motors. A lot of times, due to bearing failure, the magnets on the rotor overheat and...

Heres the graph. Heres the problem Mass of the object is 1.7 kg. (a) Find the impulse of the force. (b) Find the final velocity of the object if it is initially at rest. (c)Find the final velocity of the object if it is initially moving along the x-axis with a velocity...

Homework Statement We're supposed to convolve the signal x[k] = u[k] - u[k-8] with its impulse response h[k] = sin(pi*k/4)*( u[k] - u[k-8] ) with the help of MATLAB. Homework Equations - The Attempt at a Solution The thing is that we don't know how to do this in MATLAB...

Hi. I have one general question and one specific question (which is related by example.) Specific: If I am sitting in a chair with wheels and I push off against a wall, I accelerate. But the force was not applied through any distance. Did I do any work? (I know that an impulse was applied...

G'day I have an assignment to do where I analyse the bio-mechanics of long jump. I figured that I could possibly use a spring as an analogy of what goes on in the foot at take-off. The Achilles Tendon acts like a spring. However, I'm not sure if impulse explains why springs jump to high...

A car of mass 1200kg traveling at a velocity of 15m/s North collides head on with a small van of mass 2200kg traveling at 10m/s South. The vehicles stick together on impact and the collisions can be considered an isolated one. The contact time of the collision is 0.4 seconds. Calc the...

Hi to everybody, I could really use some help in order to understand how to obtain an impulse response from a frequency response. I am dealing with acoustics, but my knowledge on the particular are basic. I am trying to compare a theory for the scattering of sound from an object with...

Homework Statement See the attachment Once you read the question (attached) you'll notice that there are two different parts of the question, the first one asks to find the combined velocity of the system after collision while the 2nd one uses the result of the first part and states to find...

I am having trouble on the fourth part of a question that states calculate the impulse exerted by the wall on the ball. The original question was: A ball of mass 300 g is thrown against a wall with a speed of 15 m/s. The ball rebounds elastically off the wall. The original questions were...

Hi If a person jumps(countermovement jump) then there would be 2 impulses that is the 1st impulse would be when person sits down, getting ready to jump and the 2nd impulse would be when he jumps back on to the ground. 1)I want to know the relationship between these 2 impulses. 2) How can we...

Homework Statement Hi guys, just want to check is there any problem with the answer for part c and d of the question? I would really appreciate if you can help me double check, thank you.

Homework Statement I have abit of problem understanding this 2 question, I would appreciate if someone can guide me along. For diagram 1 (Left) I interpret the condition as: At 0sec, initial velocity is 0, At 5sec final velocity is unknown. For diagram 2 (Right) I interpret the...

Homework Statement For impulse momentum, I know that collision between two object, impulse = 0. Can somebody explain to me how come for this question the impulse is 0 "shaft A engaged to shaft b" has the same meaning as collision? And I assume that it is right for me to add shaft A and shaft...

Homework Statement A ball of mass 0.150 kg is dropped from rest from a height of 1.25 m. It rebounds from the floor to reach a height of 0.960 m. What impulse was given to the ball by the floor? Homework Equations Δmv/t =I vf^2=vo^2 +2aΔy The Attempt at a Solution mghi =...

For prelim preparation. I've also included a figure of the problem. Homework Statement A stick of length l is suspended by one end at point P so that it hangs vertically and so that the top end of the stick does not move. A horizontal impulse J is applied perpendicular to the stick a...

I'm trying to apply the equation from Wikipedia (http://en.wikipedia.org/wiki/Collision_response) to find the impulse of a collision. How do i find/calculate the surface normal n, which is a unit vector?

Homework Statement Straight from book: Marshall pushes crates starting from rest across the floor of his classroom for 3 seconds with a net force as shown. For each crate, rank the following from greatest to least... (a) Impulse delivered (b) Change in momentum (c) Final speed (d) Momentum...

Suppose that y(t)=x(t)\ast h(t). (\ast denotes convolution) Here are the signals: How to find h(t) in time domain? Does there exist such h(t)? Thanks in advance.

Homework Statement To warm up for a match, a tennis player hits the 58.0g ball vertically with her racket. If the ball is stationary just before it is hit and goes 5.50m high, what impulse did she impart to it? I know that the answer is 0.602 kgm/s but I don't understand why this is the answer...

Hi, I was wondering what the advantages are of using an Ultra Wide-Band (UWB) radar system (also known as impulse radar) where you transmit an extremely small pulse (sub-nanosecond), and hence a very large bandwidth, over conventional radar that use continuous waves or larger pulse widths...

Homework Statement I was told by a friend that M1+I1-2=M2 is actually FT=mVf-mVi. So using FT=mVf-mVi to solve the following question... The Attempt at a Solution FT=mVf-mVi (F)(0.15)=800(0)-800(5000/3.6) F=-7407.4N Ans is 7407.4N positive. Can I ask did I get my sign wrong?

suppose a metal ball is hanging by a string and there is another string is hanging at buttom of the ball if you pull buttom string very fast which of strings (up and buttom) will be cutten ?

Is there a way to calculate the impulse force F if the time of collision is unknown? The only formula I know to calculate this force is F*Δt = m*Δv. Is there a formula that perhaps uses plasticity as a variable instead of time or maybe uses the distance an object moves after a collision? Any...

A tennis ball of mass m=0.060kg and speed v=25m/s strikes a wall at a 45 degree angle and rebounds with the same speed at a 45 degree angle. What is the impulse (magnitude and direction)? F=deltaP=mv=deltaP/deltaT Not sure what I am doing wrong. mv=P so 0.060kg x 25m/s = 1.5Nm/s The...

I have a question which might be simple. Suppose we have a 2 degree of freedom system such as a double pendulum which is suspended from the ceiling. Now if the second ball (the lower one) collides with the wall, how can we find the impulse exerted on the ball. I mean do we consider the...

Homework Statement Homework Equations fnet(delta t) = m (delta v) The Attempt at a Solution I need some help on question b ASAP (i'm not sure what the question means when it says find the velocity AT THE END of the 1.20 sec impact) and i would like for someone to check if I've...

How far above its center should a billiard ball be struck in order it roll without any initial slippage? Denote the ball's radius by R, and assume that the impluse delivered byt the cue is purely horizontal Book Solution: Since any static frictional forced supplied by the table is limited...

Homework Statement For a project I am doing I have to disprove something I see in a video. In the video, a person falls into a cart full of hay from a height that is irrelevant. What I know is that the person's speed at the top of the leaves is given by v (I have the actual number for v but...

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...

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...

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]...