linear resonant actuator used for haptic vibration cues in phones - a device that might produce the vibration that happens when you get a notification. A basic model is shown on the left. For this problem, you'll need to derive the EOMS for the system (it will be a second order system) and then put it into a number of different system representation forms. Your tasks: Karm Carm Actuator electromagnetic force Fact • I1=IAct • x2 = 1 • X3 = xp • 4 = 3 mp Fact Kact Cact mact Xact culos CURRENT SPRING NOVING MASS BAZY CHRCUT PRECISION MICRODRIVES PRECISION HAPTIC Z-AXIS LINEAR RESONANT ACTUATOR Credit. Precision Microdrives. Ltd. FLYING LEADS FLEX CIRCUIT SELF ICHISM BACKING offr NEODYM CASE VERATING BASS ASSEMBLY https://www.precisionmicrodrives.com/vibration-motors/linear-resonant-actuators-tras/ A. Using Newton's Laws of Motion, derive equations of motion for the system using the variable names given in the figure on the left B. Represent the mechanical system in configuration form using tp and Act and their derivatives. C. Represent the mechanical system in 2nd order matrix form using tp and Act and their derivatives. D. Represent the mechanical system in state space form. Let the system output, Y, be the force felt by the body (the wall in the diagram). Define the state variables as shown below
linear resonant actuator used for haptic vibration cues in phones - a device that might produce the vibration that happens when you get a notification. A basic model is shown on the left. For this problem, you'll need to derive the EOMS for the system (it will be a second order system) and then put it into a number of different system representation forms. Your tasks: Karm Carm Actuator electromagnetic force Fact • I1=IAct • x2 = 1 • X3 = xp • 4 = 3 mp Fact Kact Cact mact Xact culos CURRENT SPRING NOVING MASS BAZY CHRCUT PRECISION MICRODRIVES PRECISION HAPTIC Z-AXIS LINEAR RESONANT ACTUATOR Credit. Precision Microdrives. Ltd. FLYING LEADS FLEX CIRCUIT SELF ICHISM BACKING offr NEODYM CASE VERATING BASS ASSEMBLY https://www.precisionmicrodrives.com/vibration-motors/linear-resonant-actuators-tras/ A. Using Newton's Laws of Motion, derive equations of motion for the system using the variable names given in the figure on the left B. Represent the mechanical system in configuration form using tp and Act and their derivatives. C. Represent the mechanical system in 2nd order matrix form using tp and Act and their derivatives. D. Represent the mechanical system in state space form. Let the system output, Y, be the force felt by the body (the wall in the diagram). Define the state variables as shown below
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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Transcribed Image Text:You are given a linear resonant actuator used for haptic vibration cues in phones - a device that might produce the vibration that happens when you get a notification. A basic model is shown on the left. For this problem, you'll need to derive the EOMs for the system (it will be a second-order system) and then put it into a number of different system representation forms.
**Diagram Explanation:**
The diagram illustrates a mechanical system with components including springs and masses. It involves an actuator exerting an electromagnetic force \( F_{act} \) on two masses, \( m_p \) and \( m_{act} \), connected by springs with constants \( k_{arm} \) and \( k_{act} \), respectively. The displacements of the masses are represented by \( x_p \) and \( x_{act} \).
**Your tasks:**
A. Using Newton’s Laws of Motion, derive equations of motion for the system using the variable names given in the figure on the left.
B. Represent the mechanical system in configuration form using \( x_p \) and \( x_{act} \) and their derivatives.
C. Represent the mechanical system in 2nd order matrix form using \( x_p \) and \( x_{act} \) and their derivatives.
D. Represent the mechanical system in state space form. Let the system output, \( Y \), be the force felt by the body (the wall in the diagram). Define the state variables as shown below:
- \( x_1 = x_{act} \)
- \( x_2 = \dot{x}_{act} \)
- \( x_3 = x_p \)
- \( x_4 = \dot{x}_p \)
- \( U = F_{act} \)
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