Question: A certain system has two coupled subsystems. One subsystem is a rotational system with the equation of motion: 50 d/dt + 10 = T(t) Where

A certain system has two coupled subsystems. One subsystem is a rotational system with the equation of motion:
50 dω/dt + 10ω = T(t)
Where T(t) is the torque applied by an electric motor, Figure 8.1.8. The second subsystem is a field-controlled motor. The model of the motor's field current if in amperes is
0.001dif/dt +5if = v(t)
Where v(t) is the voltage applied to the motor. The motor torque constant is KT = 25 N.m/A. Obtain the damping ratio ζ, time constants, and undamped natural frequency ωn of the combined system.

Step by Step Solution

★★★★★

3.33 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Transforming each equation gives W s Ts50s 10 Ts 25I f s ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

755-C-D-S-D (487).docx

120 KBs Word File

Students Have Also Explored These Related Classical Dynamics Of Particles Questions!

The motion of a pair of coupled oscillators may be described by using a method similar to that used in constructing a phase diagram for a single oscillator (Section 3.4). For coupled oscillators, the...

The geared system shown in Figure P3.25 is similar to that used in some vehicle transmissions. The speed ratios (which arc the ratios of the gear radii) are Ï2/Ï1 = 3 Ï3/Ï2 = 3/5...

A conveyor drive system to produce translation of the load is shown in Figure. The reducer is a gear pair that reduces the motor speed by a factor of 10:1. The motor inertia is I = 0.002 kg m2. The...

A certain system has two coupled subsystems. One subsystem is a rotational system with the equation of motion 8 0 ( d ) d t + 1 0 = T ( t ) where T ( t ) is the torque applied by an electric motor,...

W AutoSave Off M25a rotational statics and dynamics 03.16.22 (1) . Saved to this PC v 9 Search (Alt+Q) shemar tulloch ST X File Home Insert Draw Design Layout References Mailings Review View Help...

Mini lab report that includes: 1)Title of the Experiment, 2)Introduction/Purpose. It should be about half of page long and describe what was the purpose of the experiment,which specific physics laws...

ORGANIZ/fIION DE\\IELOPMENT 4t XieS&r& L:rlt ttttrc DONALD R.BRO\\MN i',ii+ir+,::':i'i Organlzation Renewal: The Challenge-of Change LEARNING OBJECTIVES Upon completing this chapter, you will be able...

??? General Motors and the Ignition Switch Recalls In November 2004, Candice Anderson was driving her boyfriend, Gene Erickson, to pick up his car when her Saturn lon swerved off the road at a slight...

1. As a vehicle consumer, what can you do, before and after purchase, to prevent death and injury as described in the General Motors and the Ignition Switch Recalls case? 2. Responsibility for the...

The governing equation for a projectile shot vertically upward is d'y dt2 -mg - C|V\V y(0) = 0 and y'(0) = V, where m is the mass of the projectile (kg), y(t) is the height (m), g is the acceleration...

Your company is building a computer network, and you are asked to write an algorithm for achieving distributed mutual exclusion. Which scheme will you use? Explain your choice.

2 . Ackman discussed the role of activist investors in shaping company strategies. What are the potential downsides or risks of activist investing for long - term shareholders and corporate stability?

All of the following are tools and techniques of the estimate costs process EXCEPT: A. Expert judgment B. Cost of quality C. Three-point estimate D. Earned value management (EVM)

A 400-N child is in a swing that is attached to ropes 2.00 m long. Find the gravitational potential energy of the childEarth system relative to the childs lowest position when (a) The ropes are...

A person with a remote mountain cabin plans to install her own hydroelectric plant. A nearby stream is 3.00 m wide and 0.500 m deep. Water flows at 1.20 m/s over the brink of a waterfall 5.00 m high....

At 11:00 A.M. on September 7, 2001, more than 1 million British school children jumped up and down for one minute. The curriculum focus of the Giant Jump was on earthquakes, but it was integrated...

Historically, the mean assembly time for the Enyaw Kralc automobile has been 38 hours. A modification to the assembly procedure is made. A random sample of 47 Kralc automobiles yields an average...

Webster Mining is considering the purchase of a new sorting machine. The quote consists of quarterly payments of $17,000 for 6 years at an annual interest rate of 6% (APR with quarterly compounding)....

On February 1, 2022, Price Energy entered into a futures contract to buy 5,000 barrels of oil at $55 per barrel. The contract specified delivery for May 1, 2022. Spot prices for crude oil during the...