ENME 351 - Assignment 5

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Johns Hopkins University *

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350

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Mechanical Engineering

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Apr 3, 2024

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ENME 351 Assignment #5 Mitchell, Spring 2024 Page 1 of 2 ENME 351 – Electronics & Instrumentation II: Spring 2024 Department of Mechanical Engineering Due Date Thursday, February 29 th , 2024 Submission Information Submit via Gradescope by 11:59 pm Include your name, UID, date, assignment number, and signature on the top of the first page. Clearly identify your final answers to each problem by drawing a box around each answer. No credit will be awarded for ambiguous answers. Problem #0.1 (nothing to submit) Lab 9 is available for review under ELMS > Assignments. Continue to give thought to what circuit you would like to explore as part of this exercise. Take note of the grading rubric! The intent of Lab 9 is to showcase your comprehensive knowledge of mechatronics, in a creative and unique fashion. Looking for inspiration? There are a host of prior student Lab 9 videos available on the course YouTube channel. Reminder: no vertical videos in ENME 351! Problem #0.2 (nothing to submit) Here is an interesting comparison of analog and digital signals, including practical considerations: https://www.circuitbasics.com/introduction-to-analog-and-digital-communication-systems/#comment- 430191 Problem #1 (3 points) A human resting heart rate typically ranges between 50-95 beats per minute (bpm) while high intensity workouts can push that to 185 bpm. Therefore, wrist-mounted activity trackers such as the Apple Watch must sample heart rate at what frequency in Hz to avoid aliasing and cover the foreseeable range of heart rates in a user? Problem #2 (4 points) Consider a single NOR gate which has 3 separate and distinct inputs. Sketch the symbolic representation of this gate. Given the number of possible input combinations, how many of these possibilities will result in a HIGH signal output from the gate? Provide your answer as a single integer number with no decimal places. Prove your answer by completing the associated truth table.
ENME 351 Assignment #5 Mitchell, Spring 2024 Page 2 of 2 Problem #3 (6 points) Shaker tables are often used at NASA Goddard to simulate mechanical loading during rocket launches and thus test the structural integrity of satellite payloads during the launch process. https://www.nasa.gov/technology/tech-transfer-spinoffs/nasa-shake-testing-helps-make-safer-cars/ A particular table at Goddard provides a known periodic sinusoidal displacement that serves as an input signal to a sensor/device placed on top. This may be used to calibrate an accelerometer if known displacements/accelerations are provided at a known frequency. If the shaker table displacement d(t) is programmed to vary between 2 and 5 mm at a frequency of 100 Hz with d(0) = 3.5 mm: a) express the input signal d(t) as a Fourier series, b) plot the signal in the time domain using MATLAB from time t = 0 to t = 40 msec, clearly labeling all axes and pertinent specifications, and c) construct an amplitude spectrum plot Problem #4 (4 points) Provided the amplitude spectrum plot at right, identify: a) the fundamental frequency (in rad/s) and b) the harmonics present in y(t) from the amplitude spectrum plot. c) Assuming that y(t) is even, write a mathematical function describing y(t). Problem #5 (3 points) The Arduino sketch at right is successfully compiled and uploaded to an UNO. What is output to the serial monitor when the value of counter equals 4?
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