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Consider the system shown in the figure below. If the coefficients a and bare a =...
Consider the system shown in the figure below. Assume the coefficients a = 2.5599,b= 2.5324,c= 1.1758,...
Consider the system shown in the figure below. Assume the coefficients a = 2.5599,b= 2.5324,c= 1.1758, d = 2.6550, and e = 0.5967. If w -w? = 86.4687 (rad/s)2, determine the ratio k/m. ck - zak Im 7 ek E bm dmt 105.0041 N/(kg.m) 35.6026 N/(kg.m) O 0.0095 N/(kg.m) 71.2061 N/(kg.m) O 0.0140 N/(kg.m)
1 - Consider the system shown in the figure below, #1 25 Ks a) Determine the...
1 - Consider the system shown in the figure below, #1 25 Ks a) Determine the value of k that yields a damping ratio ? of 0.6 b) Based on the numerical value found for k in part (a) of the problem, determine (10 points) the open-loop gain and the system's type. Determine the steady-state errors for the system when it is subjected to (6 points) c) 1. a step reference input, r()-A 2. a ramp reference input, r()-t (6...
B-3-25 Consider the system shown in Figure 3-90. An armature-controlled de servomotor drives a lo...
B-3-25 Consider the system shown in Figure 3-90. An armature-controlled de servomotor drives a load consisting of the moment of inertia J. The torque developed by the motor is T. The moment of inertia of the motor rotor is Jm The angular displacements of the motor rotor and the load element areo,1, and θ, respectively. The gear ratio is 0/6,n. Obtain the transfer function θίη(s)/Eds). Figure 3-90 Armature-controliled de servomotor system.
B-3-25 Consider the system shown in Figure 3-90. An...
2) For the drain system shown in the figure below, determine the time of concentration at...
2) For the drain system shown in the figure below, determine the time of concentration at point C using SCS Average Velocity (for overland flow). A 0.45 sq. mi A-0.23 sq. mi Paved area 500 Bare soil A V52fps 1000 ft B3000 ft
Consider the system of connected masses and pulleys shown in the figure. The system is released...
Consider the system of connected masses and pulleys shown in the figure. The system is released from rest with the cable is rigid and under tension. The friction coefficients for the 60 kg mass are us = 0.25 and up = 0.20. Determine the acceleration of each body and tension T in the cable. Neglect the mass and friction of the pulleys. 60kB Moot 20 kg 30°
1. Consider the system shown in the figure below. The system is an integrator, in which...
1. Consider the system shown in the figure below. The system is an integrator, in which the output is the integral: y(t)x()dr -00 Integrator x(t) y(t) (a) We may determine the impulse response h(t) by applying an impulse signal to the integrator, i.e. x(t) -5(t). What is the impulse response? Answer: (10 points) (b) The output of the integrator may be found by apply convolution method to determine the output. The convolution of the two signals is expressed a)ht -...
Consider the system shown in the figure below. The mass moment of inertia of the bar...
Consider the system shown in the figure below. The mass moment
of inertia of the bar about the point O is JO, and the torsional
stiffness of the spring attached to the pivot point is kt . Assume
that there is gravity loading. The centre of gravity of the bar is
midways, as shown in the figure.
Question 2 Consider the system shown in the figure below. The mass moment of inertia of the bar about the point O is...
7. Consider the mechanical system shown below. The system initially at rest. The displacements u, y,...
7. Consider the mechanical system shown below. The system initially at rest. The displacements u, y, and z are measured from their respective rest positions. Given that u is the input, y is the output, 1) Obtain the transfer function of the system (20pt). 2) Obtain a state-space representation of the system (20pt). I b, - obteranlara k, 12 WI
2. Consider the mass-spring system shown in the figure below. It can be shown that the...
2. Consider the mass-spring system shown in the figure below. It can be shown that the motion of the mass is governed by the equation a=-sw^2, where s and a are the position and acceleration of the mass, respectively, and w is a constant (which is referred to as the natural frequency of the system). Derive the equation describing the velocity of the mass in terms of the position. Assume that the velocity of the mass is v(subzero) when s=0...
2) For the drain system shown in the figure below, determine the time of concentration at point C using SCS Average Vel...
2) For the drain system shown in the figure below, determine the time of concentration at point C using SCS Average Velocity (for overland flow). A 0.45 sq. mi A-0.23 sq. mi Paved area 500 Bare soil A V52fps 1000 ft B3000 ft
Consider the system shown in the figure below. Assume the coefficients a = 2.5599,b= 2.5324,c= 1.1758, d = 2.6550, and e = 0.5967. If w -w? = 86.4687 (rad/s)2, determine the ratio k/m. ck - zak Im 7 ek E bm dmt 105.0041 N/(kg.m) 35.6026 N/(kg.m) O 0.0095 N/(kg.m) 71.2061 N/(kg.m) O 0.0140 N/(kg.m)
1 - Consider the system shown in the figure below, #1 25 Ks a) Determine the value of k that yields a damping ratio ? of 0.6 b) Based on the numerical value found for k in part (a) of the problem, determine (10 points) the open-loop gain and the system's type. Determine the steady-state errors for the system when it is subjected to (6 points) c) 1. a step reference input, r()-A 2. a ramp reference input, r()-t (6...
B-3-25 Consider the system shown in Figure 3-90. An armature-controlled de servomotor drives a load consisting of the moment of inertia J. The torque developed by the motor is T. The moment of inertia of the motor rotor is Jm The angular displacements of the motor rotor and the load element areo,1, and θ, respectively. The gear ratio is 0/6,n. Obtain the transfer function θίη(s)/Eds). Figure 3-90 Armature-controliled de servomotor system.
B-3-25 Consider the system shown in Figure 3-90. An...
2) For the drain system shown in the figure below, determine the time of concentration at point C using SCS Average Velocity (for overland flow). A 0.45 sq. mi A-0.23 sq. mi Paved area 500 Bare soil A V52fps 1000 ft B3000 ft
Consider the system of connected masses and pulleys shown in the figure. The system is released from rest with the cable is rigid and under tension. The friction coefficients for the 60 kg mass are us = 0.25 and up = 0.20. Determine the acceleration of each body and tension T in the cable. Neglect the mass and friction of the pulleys. 60kB Moot 20 kg 30°
1. Consider the system shown in the figure below. The system is an integrator, in which the output is the integral: y(t)x()dr -00 Integrator x(t) y(t) (a) We may determine the impulse response h(t) by applying an impulse signal to the integrator, i.e. x(t) -5(t). What is the impulse response? Answer: (10 points) (b) The output of the integrator may be found by apply convolution method to determine the output. The convolution of the two signals is expressed a)ht -...
Consider the system shown in the figure below. The mass moment
of inertia of the bar about the point O is JO, and the torsional
stiffness of the spring attached to the pivot point is kt . Assume
that there is gravity loading. The centre of gravity of the bar is
midways, as shown in the figure.
Question 2 Consider the system shown in the figure below. The mass moment of inertia of the bar about the point O is...
7. Consider the mechanical system shown below. The system initially at rest. The displacements u, y, and z are measured from their respective rest positions. Given that u is the input, y is the output, 1) Obtain the transfer function of the system (20pt). 2) Obtain a state-space representation of the system (20pt). I b, - obteranlara k, 12 WI
2) For the drain system shown in the figure below, determine the time of concentration at point C using SCS Average Velocity (for overland flow). A 0.45 sq. mi A-0.23 sq. mi Paved area 500 Bare soil A V52fps 1000 ft B3000 ft
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