Solve show solution vibrations The response of a system is given byx(t)=0.003 cos (30t) + 0.004 sin(30t)Determine:(a) The amplitude of motion,(b)The period of motion,(c) The frequency in Hz,(d)the frequency in rad/s,(e)the frequency in rpm,(f)The phase angle; consider the compact response has the formx(t) = X sin(wt + q)(g)(h)The phase lag(i)The compact response of system

Given Response[x(t)=0.003cos(30t)+0.004sin(30t)] (a) The Amplitude of MotionThe given response can…

Answered: The response of a system is given by…

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

See similar textbooks

Similar questions

Vibrations
The response of a system 1s given by x(t) = 0.003 Cos Böt +0.0045in 30t m. Defermine the amplitude Og motion, the frequency in Hz, the frequency in rad/s, the frequency n rpm, the phase angle and the responce in the form of x(t)= Asn(wk tp) og mction, the period
THE SUBJECT IS VIBRATION ENGINEERING
Find the Frequency Ratio, Displacement, Transmissibility Ratio, Absolute displacement of the mass, Type of Damping, and Equation of motion x(t). Assume Initial conditions for displacement and velocity. Graph 2 cycles of the vibrating system.
please find the soultion and explain will upvote if correct
Consider that the free response of the mechanical system is given by y(t) = 5e-at cos(2лƒ) (Eq. 1) whose plot is illustrated in Figure 3: Yh(t) 5 0 0,15 0,25 Arca 0,10 0,20 0,05 0,30 {[s] Figure 3 - Response of the mechanical system as described by Eq. 1. DETERMINE the frequency of damped oscillations of the system in Hertz and rad/s. Considering the damping factor as = 0.075, CALCULATE the system's natural (undamped) frequency. CALCULATE the stiffness of the system if its mass is 25 kg.
Given the vibrating system below: K4 Y(t) =Ysin30t where for = 30 and Y=20mm Find the following K1 K2 m C3 H C2 C1 C5 C4 1. Frequency Ratio 2. Displacement Transmissibility Ratio 3. Absolute displacement of the mass 4. Type of Damping 5. Equation of motion x(t). Assume Initial conditions for displacement and velocity 6. Graph 2 cycles of the vibrating system. You can use third party app for this. M = 10 kg K1=100 N/m K2= 80 N/m K3=75 N/m K4= 120 N/m C1 = 20Ns/m C2=40 Ns/m C3= 35Ns/m C4= 15 Ns/m C5= 10 Ns/m
The damped frequency of oscillation of an open loop underdamped system = 12rad/sec The magnitude of the real part of the underdamped system = 16 Determine the natural frequency (Answer to 0 decimal places)
For the system shown in Figure 2, u (t) and y (t) denote the absolute displacements of Building A and Building B, respectively. The two buildings are connected using a linear viscous damper with damping coefficient c. Due to construction activity, the floor mass of Building B was estimated that vibrates with harmonic displacement that is described by the following function: y(t) = y,cos (wt). k/2 Building A H k/2 M(t) C 73(1) Building B Equivalent (Building A) 00000000 Figure 2: Single-degree-of-freedom system in Problem 2. 111 uft) Please compute the following related to Building A: (a) Derive the equation of motion of the mass m. (b) Find the expression of the amplitude of the steady-state displacement of the mass m. (1) (Building B)
Please find the question attached.
use this matrix num (ad200107)
Q) solve exersice The response of a system is given by x() = 0.003 cos (30) + 0.004 sin(30) m (a) Determine (a) the amplitude of motion, (b) the period of motion, (c) the frequency in Hz, (d) the frequency in rad/s, (e) the frequency in rpm, (f) the phase angle, and (g) the response in the form of Equation (1.12) SOUTION

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS