A support beam is subjected to vibrations along its length, emanating from two machines situated at opposite ends of the beam. The displacement caused by the vibrations can be nodelled by the following equations,x, = 3.75 sin (100zt + mm X2 = 4.42 sin (100nt mm a. State the amplitude, phase, frequency and periodic time of each of these waves. b. When both machines are switched on, how many seconds does it take for each machine to produce its maximum displacement? c. At what time does each vibration first reach a displacement of -2mm? d. Use the compound angle formulae to expand x, and x2 into the form A sin 100nt ±
A support beam is subjected to vibrations along its length, emanating from two machines situated at opposite ends of the beam. The displacement caused by the vibrations can be nodelled by the following equations,x, = 3.75 sin (100zt + mm X2 = 4.42 sin (100nt mm a. State the amplitude, phase, frequency and periodic time of each of these waves. b. When both machines are switched on, how many seconds does it take for each machine to produce its maximum displacement? c. At what time does each vibration first reach a displacement of -2mm? d. Use the compound angle formulae to expand x, and x2 into the form A sin 100nt ±
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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