Explanation Given: J 1 = 4 K g m 2 N 1 = 50 D 1 = 8 N m s / r a d J 2 = 36 K g m 2 N 2 = 150 D 2 = 36 N m s / r a d T s t a l l = 150 N m ω n o − l o a d = 100 r a d / s e a = 50 V Calculation: The total inertia at the armature of motor is J m = J 1 + J 2 ( N 1 N 2 ) 2 ⇒ J m = 4 + 36 × ( 50 150 ) 2 ⇒ J m = 4 + 36 × 1 9 ⇒ J m = 8 K g m 2 And the total damping at the armature of the motor is D m = D 1 + D 2 ( N 1 N 2 ) 2 ⇒ D m = 8 + 36 × ( 50 150 ) 2 ⇒ D m = 8 + 36 × 1 9 ⇒ D m = 12 N m s / r a d From torque-speed curve we can find the electrical constants, K t R a and K b . K t R a = T s t a l l e a ⇒ K t R a = 150 50 ⇒ K t R a = 3 K b = e a ω n o

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ISBN: 9781118170519

Author: Norman S. Nise

Publisher: WILEY

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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

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Chapter 2, Problem 45P

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The transfer function for the given system.

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Chapter 2, Problem 44P

Chapter 2, Problem 46P

Chapter 2 Solutions

Control Systems Engineering

Ch. 2 - Prob. 1RQ Ch. 2 - Prob. 2RQ Ch. 2 - Prob. 3RQ Ch. 2 - Define the transfer function.Ch. 2 - Prob. 5RQ Ch. 2 - What do we call the mechanical equations written...Ch. 2 - If we understand the form the mechanical equations...Ch. 2 - Why do transfer functions for mechanical networks...Ch. 2 - What function do gears perform?Ch. 2 - What are the component parts of the mechanical...

Ch. 2 - The motor’s transfer function relates armature...Ch. 2 - Summarize the steps taken to linearize a nonlinear...Ch. 2 - Prob. 1P Ch. 2 - Prob. 2P Ch. 2 - Prob. 3P Ch. 2 - Prob. 4P Ch. 2 - Prob. 5P Ch. 2 - Prob. 6P Ch. 2 - Prob. 7P Ch. 2 - A system is described by the following...Ch. 2 - For each of the following transfer functions,...Ch. 2 - Write the differential equation for the system...Ch. 2 - Write the differential equation that is...Ch. 2 - Prob. 12P Ch. 2 - Use MATLAB to generate the MATLAB ML transfer...Ch. 2 - Repeat Problem 13 for the MATLAB following...Ch. 2 - Use MATLAB to generate the partial fraction...Ch. 2 - Use MATLAB and the Symbolic Math Symbolic Math...Ch. 2 - Prob. 17P Ch. 2 - Prob. 18P Ch. 2 - Prob. 19P Ch. 2 - Repeat Problem 19 using nodal equations. [Section:...Ch. 2 - Prob. 22P Ch. 2 - Prob. 23P Ch. 2 - Prob. 24P Ch. 2 - Prob. 25P Ch. 2 - Prob. 26P Ch. 2 - Prob. 27P Ch. 2 - Prob. 28P Ch. 2 - Prob. 29P Ch. 2 - Write, but do not solve, the equations of motion...Ch. 2 - For the unexcited (no external force applied)...Ch. 2 - For each of the rotational mechanical systems...Ch. 2 - For the rotational mechanical system shown in...Ch. 2 - Find the transfer function, 1sTs , for the system...Ch. 2 - For the rotational mechanical system with gears...Ch. 2 - For the rotational system shown in Figure P2.21,...Ch. 2 - Prob. 37P Ch. 2 - Find the transfer function, Gs=4s/Ts , for the...Ch. 2 - For the rotational system shown in Figure P2.24,...Ch. 2 - Prob. 40P Ch. 2 - Given the rotational system shown in Figure P226,...Ch. 2 - In the system shown in Figure P2.27, the inertia,...Ch. 2 - Prob. 43P Ch. 2 - Given the combined translational and rotational...Ch. 2 - Prob. 45P Ch. 2 - The motor whose torque-speed characteristics are...Ch. 2 - A dc motor develops 55 N-m of torque at a speed of...Ch. 2 - 48. In this chapter, we derived the transfer...Ch. 2 - Prob. 49P Ch. 2 - Find the series and parallel analogs for the...Ch. 2 - Find the series and parallel analogs for the...Ch. 2 - A system’s output, c, is related to the system’s...Ch. 2 - Prob. 53P Ch. 2 - Consider the differential equation...Ch. 2 - 55. Many systems are piecewise linear. That is,...Ch. 2 - For the translational mechanical system with a...Ch. 2 - 57. Enzymes are large proteins that biological...Ch. 2 - Prob. 58P Ch. 2 - Figure P2.36 shows a crane hoisting a load....Ch. 2 - 60. In 1978, Malthus developed a model for human...Ch. 2 - 61. In order to design an underwater vehicle that...Ch. 2 - 62. The Gompertz growth model is commonly used to...Ch. 2 - A muscle hanging from a beam is shown in Figure...Ch. 2 - A three-phase ac/dc converter supplies dc to a...Ch. 2 - Prob. 65P

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