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6. A source of vibration begins abruptly and is represented by the equation: X1 5.2 e jot-0.5) Time delay where the phase is given in radians. A second source of vibration of the same frequency as the first, begins 5ms after the first and is twice as loud. Write down the equation for this second vibration, x2 in the same form as x₁ if both vibrations have a frequency of 55Hz.

6. A source of vibration begins abruptly and is represented by the equation: X1 5.2 e jot-0.5) Time delay where the phase is given in radians. A second source of vibration of the same frequency as the first, begins 5ms after the first and is twice as loud. Write down the equation for this second vibration, x2 in the same form as x₁ if both vibrations have a frequency of 55Hz.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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5. A mechanical oscillator with a quality factor of 2 comprises a mass of 50 g attached to a spring of stiffness 3250 N/m. When the mass is subject to an oscillating driving force of magnitude 20 N, the resultant frequency of oscillation of the system is 50 Hz. a). Calculate the value of the mechanical resistance, Rm, for the system. b). What percentage of the maximum power is dissipated in the system when is it driven to oscillate at 50 Hz? c). State whether the system is underdamped, critically damped or overdamped when the driving force is turned off and justify your answer. 6. A source of vibration begins abruptly and is represented by the equation: X1 5.2 e j(oot - 0.5) where the phase is given in radians. A second source of vibration of the same frequency as the first, begins 5ms after the first and is twice as loud. Write down the equation for this second vibration, x2 in the same form as x₁ if both vibrations have a frequency of 55Hz. Time delay D.Moran
Transcribed Image Text:5. A mechanical oscillator with a quality factor of 2 comprises a mass of 50 g attached to a spring of stiffness 3250 N/m. When the mass is subject to an oscillating driving force of magnitude 20 N, the resultant frequency of oscillation of the system is 50 Hz. a). Calculate the value of the mechanical resistance, Rm, for the system. b). What percentage of the maximum power is dissipated in the system when is it driven to oscillate at 50 Hz? c). State whether the system is underdamped, critically damped or overdamped when the driving force is turned off and justify your answer. 6. A source of vibration begins abruptly and is represented by the equation: X1 5.2 e j(oot - 0.5) where the phase is given in radians. A second source of vibration of the same frequency as the first, begins 5ms after the first and is twice as loud. Write down the equation for this second vibration, x2 in the same form as x₁ if both vibrations have a frequency of 55Hz. Time delay D.Moran
3)x Cine ni D f ime H Perial of 1 oscillation T=4 = 55 0.018s X = S.Z = SSH₂ For XlXz ³ Wt-0.5) evence So phare differen. (radians) Phase of Sms (0.005s) = between xlx ₂ = between X, IX₂ 0.005 0.018 1.35 X2T D radians 1.75 + (0.5) 1.25 radians is twice X₁ je. 2X5.2=10 Amplitude of X₂ So, x ₂ = 10.4 + +1.25) x₂ =
Transcribed Image Text:3)x Cine ni D f ime H Perial of 1 oscillation T=4 = 55 0.018s X = S.Z = SSH₂ For XlXz ³ Wt-0.5) evence So phare differen. (radians) Phase of Sms (0.005s) = between xlx ₂ = between X, IX₂ 0.005 0.018 1.35 X2T D radians 1.75 + (0.5) 1.25 radians is twice X₁ je. 2X5.2=10 Amplitude of X₂ So, x ₂ = 10.4 + +1.25) x₂ =
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