please answer and explain Consider a motor model that the load is modeled as an inertia connected to the motor by a torsional spring, k, instead of a load torque as shown in the figure. How should the equations of motion,Let K be the motor torque constant and also the motor's back emf constant.Select the correct set of equations of motion.+armaturecircuitV;RL000MotoreeeekLoadT 0di(1)dtL + Ri (1) + KO₁(1) =v, (1)10₁(1)1ОРdtdo₂(1)-=Ki(t) +k(0¸(t) − 0¸(1))-=k(0₂(1) -0¸(1))dtdi(1)(1) orL·+ Ri (1) + K-dtdid²0 (1)di²-=v₁(1)-=Ki(1) +k(0₂(1) − 0¸(1))d²0₂(1)di²di(1)Ldt((1) 0-(1)³0)=· + Ri(t) − K-(1)'Orpdo (1)di-=v₁(1)di²d20₂(1)12di²Ldi(1)dt==- Ki(t) +k (0₂(1)−0¸(1))-=k(0₁(t) −0₂(1))- + Ri (1) + KO₁(1)=v¸ (1)d²0 (1)·=Ki(t) + k (0₂(t) −0¸(1))di²d²0₂(1)di²-=k(0₁(1) -0₂(1))

Option 2 is correctExplanation:

Answered: Consider a motor model that the load is…

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

Asiacell مكالمات الطوارئ فقط docs.google.com/forms Determine the equivalent 10 points spring constant for the system shown in figure * 4k 2k 3k 15K/6 8K/3 6K/3 O 10K/3 A helicopter tail rotor has an 30 points unbalance mass on one of its
5- A pulley 250 mm in diameter drives a second pulley 1,000 mm in diameter by means of a belt as in Figure 3. The moment of inertia of the driven pulley is equal to 0.2 kg- m2. The belt connecting these pulleys is represented by two springs, each of stiffness JF k. For what value of k will the natural frequency be 6 Hz? of 0.2 CO000 100 mm (h) Figure 3
Q1 A vibration model of a machine system that consists of three levers connected by lightweight linkages (represented by spring) is shown in Figure Q1. Each lever has a length, L with the distance of linkage from pivot point is given as ´a’. Important: Please provide the final answer equation of motion in the matrix form of unknown m, k, a and L. (a) By using Lagrange equation, determine the equation of motion of the system by considering 0,, 02 and 03 are very small. (b) Prove the answer from Q1(a) by using Newton's second law. Use a free body diagram to support the answer.
The following model describes material model as a viscous damper in parallel with an elastic stiffness (spring) and both are in series with another spring. E E, C Drive the governing equation of the model (stress-strain relation) • Drive the creep behaviour of the model under constant load Drive the strass relaxation of the model under constant strain
Q2-Find (meg) & (Keg) for the mechanism shown in fig (1), with respect to the displacement (x). Jy k2 hrtaレ

a) A two-degree-of-freedom coupled pendulum model is shown in Figure Q1a. The parameters of the model are: k=100 N/m; m=10 kg and L=1 m. The equations of motion of the system are given below. J₁ä + (mgL + kĽ² ) 8₁ - kľ² 0₁₂ = 0 J₁₂+(mgL+kĽ²)₂-kĽ² 0₁ = 0 i) Calculate the natural frequencies. ii) Draw the mode shapes. m Figure Q1a. b) In the above system discuss the implications of the following changes in coupling stiffness. i) k is reduced considerably to 0.1 N/m. ii) k is increased considerably to 1x105 N/m. c) Draw a schematic of modal test arrangement of a beam using instrumented impact hammer. d) Why is it necessary to measure force in a modal test?
An unbalanced small motor with me-1.2 kg.m is directly bolted to a machine with a mass of 500 kg. The machine is attached to the floor using an isolator with k=75000 N/m, e=1850 Ns/m (Weight of the motor is neglected.) a) Determine that how much percent of the force is transmitted to the floor if motor turns with n-250 rpm. b) Determine the rotation speed of the motor corresponding to the damped natural frequency of the system. e) Determine the vibration displacement amplitude at the speed calculated in part b).
Find the natural frequency (w) and the period (T). Given this value of mass (m) = 0.5 kg and spring constant (K)=857.8 N/m O A w = 41.42 rad/s, T=0.162s B. w = 51.42 rad/s, T=0.152s O Cw = 41.42 rad/s, T=0.152s
(machine dynamic ) The mass(20 kg)-damper-spring system given in the figure on the right is under a harmonic force. a- Obtain the equation of motion by making the necessary assumptions for this system.b- Find and interpret the natural frequency, damping state (critical etc.), damping constant and damping degrees of the system using the values given in the table.c- Compare the situation at t=5s and t=20s. What changes have occurred?
Q1: (Section A) Considering single degree undamped vibration system and Newton's equation as follow: më +kx=0; find the solution of the displacement equation [(t)=Cietwnt+C2e-lwn] for the case with: Wn = 2 rad/s, x (0) = 1 mm, and x(0) = v5 mm/s. (Section B) Given the matrix equation of motion of a two degree-of-freedom system 3m 2k - k = 0 X2 + as: -k 4k m Determine (a) the natural frequencies, (b) the modes shapes.
3:17 AM ← Jonathan Wickert, Kemper Lewis - An Introduction to Mechanical Engineering-Cengage L... Figure P8.3 Problem P8.3 The disk in a computer hard drive spins at 7200 rpm (Figure P8.3). At the radius of 30 mm, a stream of data is magnetically written on the disk, and the spacing between data bits is 25 µm. Determine the number of bits per second that pass by the read/write head. 30 mm 7200 rpm BA um 4G+ 49%
WERK the equivalent spring constant for below if the constant spring is 80 ?N/m k1 m3 k3 k6 m1 k4 m6 m2 k5 840 Non one of them 540 480 O k2

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