Recent content by soccer4life

1. Problem Statement Find the steady state output yss(t) for the input u(t)=t-π in terms of an infinite sum of sinusoids. We are given the transfer function as: 2. Homework Equations G(i) = ... |G(ik)| = ... Φ(ik) = ... (this is the angle) yss(t) = βk||G(ik)|ei(kt+Φ(ik)) ***check that this...

Wow, you've gone above and beyond for me. Thank you! However, this entire question all leads into the overarching problem I'm having... which is finding the steady state output for this input. I'm going to go ahead and post the issues I'm having here, but if I need to start a new thread let me...

Ah sorry I had my terminology mixed up (it's been a rough week). Can you clarify which 2 you are referring to? Also, just to make sure I understand where you're leading me, is the issue that I am translating the table incorrectly? Also, it it fair to assume that I have a mistake somewhere in my...

The period is just 1. T=2π. That's how I performed all of my calculations, both in the table and by hand

I'm a bit confused from those tables. I'm assuming that I am translating them incorrectly, but aren't they essentially stating that there must be an a0 term by always including a single value in front of the summation? On another note, I got an answer of π/4+2Σsin((2k-1)t)/(2k-1) by going...

Homework Statement There is a sawtooth function with u(t)=t-π. Find the Fourier Series expansion in the form of a0 + ∑αkcos(kt) + βksin(kt) Homework Equations a0 = ... αk = ... βk = ... The Attempt at a Solution After solving for a0, ak, and bk, I found that a0=0, ak=0, and bk=-2/k...

This is for a mass spring damper system. Here's an image of the full problem

Homework Statement I am trying to understand what the difference in the two questions (linked) are. I understand how to find the steady state response for x. Is the second question just asking for the first and fourth element in the Xss matrix? Homework Equations Xss=[q1 q2 q1dot q2dot] The...

Sorry, I figured out the problem (1000J/s in 1 KW instead of 100...,) but don't know how to close the thread (if possible.) Thanks for the responses though!

1. What volume of water at 0oC can a freezer make into ice cubes in 1.0 hour, if the coefficient of performance of the cooling unit is 7.0 and the power input is 1.0 kilowatt? 2. C.O.P.=QL/W Q=mlfusion \rho=m/v 3. I found QL by using the above formula, which gave me 700J. Next...

Rather than scan the example, I will copy it's reasoning: "APPROACH: Take the Bullet and the tree as our system. No Potential energy is involved. No work is done on (or by) the system by outside forces, nor is any heat added because no energy was transferred to or from the system due to a...

Well, this is an example from the book, and the book states in it's solution: 'Q=W=ΔPE=0.' I don't understand why this is true. Tell me if this is right: ΔPE=0 because the change of height before & after the bullet passes through the tree is so small that it is assumed to =0.

1. A 3.0-g bullet traveling at a speed of 400 m/s enters a tree and exits the other side with a speed of 200 m/s. Where did the bullet's lost KE go, and what was the energy transferred? 2. ΔKE+ΔPE+ΔU = Q-W 3. The only questions I have about this problem are why does the Work=0, Heat=0, and why...