Problem1: Consider the system shown below which is at rest for t
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Problem # 1 (b): Obtain a mathematical model of the system shown below. Problem1: Consider the ...
Obtain a mathematical model (The two equations that constitute of Kirchhoff's voltage law) of the circuit shown below: Ri e(r) Problem 1 Obtain a mathematical model (The two equations that...
Obtain a mathematical model (The two equations that constitute of Kirchhoff's voltage law) of the circuit shown below: Ri e(r) Problem 1
Obtain a mathematical model (The two equations that constitute of Kirchhoff's voltage law) of the circuit shown below:
Ri e(r) Problem 1
(20pts) Consider the vertical spring-mass-damper system shown below, where m 2 kg, b 4 N-s/m, and...
(20pts) Consider the vertical spring-mass-damper system shown below, where m 2 kg, b 4 N-s/m, and k 20N/m. Assume that x(0) 0.1 m and (0) 0. The displacement is measured form the equilibrium position. Derive a mathematical model of the system (i.e. an ODE). Then find x(t) as a function of time t.
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t<0. The input force f is applied at 0. The displacement x is the output of the system and is measured from the equilibrium position. kI b2 bi it Figure 3. Schematic of a mechanical system. (a) Obtain the traf) (10 marks) X (s) F(s) (b) Use of force-voltage analogy, obtain the equations for an electrical system (5 marks) (c) Draw a...
Problem1: Consider the translational system shown in the figure below. Att-0,x (displacement)-y (...
Problem1: Consider the translational system shown in the figure below. Att-0,x (displacement)-y (let y represents velocity)-fat)0. The physical constants are: M-3,B1,B2B 0.5. Find the first order system equation in y and do following. a) Find the response, y(t) of the system when subjected to a step input,falt)-A b). Find time constant, "7". c Identify the steady state, "yss" and transient, "yr" part of the response. d). Sketch the complete response when the input is unit step function. e). Is the...
Problem 2 - A modified mass-spring-damper system: Model the modified mass-spring-damper system shown below. The mass...
Problem 2 - A modified mass-spring-damper system: Model the modified mass-spring-damper system shown below. The mass of the handle is negligi- ble (only 1 FBD is necessary). Consider the displacement (t) to be the input to the system and the cart displacement az(t) to be the output. You may assume negligible drag. MwSpring-Damper System M0 Problem 3 Repeat problem 2, but with the following differences: • Assume the mass of the handle m, is not equal to zero. You may...
NOTE 2: Initial conditions assumed to be 0 unless otherwise is stated 1) Consider the system depi...
NOTE 2: Initial conditions assumed to be 0 unless otherwise is stated 1) Consider the system depicted below Input: v, Output: vo Assume that c (0)2, v2 (0)0 a) b) c) d) Derive the mathematical model of the system using mesh current method Find unit impulse response Find unit step response Find the transfer function T(s)Vo (s)/V(s) 2) Consider the system depicted below 2,20.5 Input: v, Output: i Assume that i,(0) 1, vc(00 a) Derive the mathematical model of the...
please can you solve clearly and step by step GA Problem-5: The system given in the...
please can you solve clearly and step by step
GA Problem-5: The system given in the following figure consists of a pulley with inertia ) and radius r, and a hanging object with mass m. The input of this system is the torque t applied on the pulley and angle is measured along CCW direction in radians. Assume that the effect of gravity is balanced by the springs before the torque is applied. a) Obtain a parametric mathematical model for...
3) Consider the system depicted below xz Input: F. Output: x Assume that all initial conditions a...
3) Consider the system depicted below xz Input: F. Output: x Assume that all initial conditions are zero. a) Derive mathematical model of the system b Find unit step response c) Find the transfer function T(s) X2(s)/Fs) d) What is the final value of the output be. limx)-7) for F)- 4) Find the transfer function state space R(s) for each of the following sytems represented in a) 10 y-[1 0 0 b) 2 -3-8 3 -5 y-1 3 6 c)...
6. For the following mechanical system: a) Find a mathematical model b) Find the transfer functio...
6. For the following mechanical system: a) Find a mathematical model b) Find the transfer function, G(s) = c Find impulse, step and ramp response by using MATLAB functions d) Find harmonic response by using MATLAB SIMULINK T(s) 2 N-m-s/rad 2 N-m/rad N2-20 T0) l kg-m2 N3-40 010 N1-5 N4-10 0.02 N-m-s/radl
6. For the following mechanical system: a) Find a mathematical model b) Find the transfer function, G(s) = c Find impulse, step and ramp response by using MATLAB...
Consider the mass-spring-damper system depicted in the figure below, where the input of the system is...
Consider the mass-spring-damper system depicted in the figure below, where the input of the system is the applied force F(t) and the output of the system is xít) that is the displacement of the mass according to the coordinate system defined in that figure. Assume that force F(t) is applied for t> 0 and the system is in static equilibrium before t=0 and z(t) is measured from the static equilibrium. b m F Also, the mass of the block, the...
Obtain a mathematical model (The two equations that constitute of Kirchhoff's voltage law) of the circuit shown below: Ri e(r) Problem 1
Obtain a mathematical model (The two equations that constitute of Kirchhoff's voltage law) of the circuit shown below:
Ri e(r) Problem 1
(20pts) Consider the vertical spring-mass-damper system shown below, where m 2 kg, b 4 N-s/m, and k 20N/m. Assume that x(0) 0.1 m and (0) 0. The displacement is measured form the equilibrium position. Derive a mathematical model of the system (i.e. an ODE). Then find x(t) as a function of time t.
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t<0. The input force f is applied at 0. The displacement x is the output of the system and is measured from the equilibrium position. kI b2 bi it Figure 3. Schematic of a mechanical system. (a) Obtain the traf) (10 marks) X (s) F(s) (b) Use of force-voltage analogy, obtain the equations for an electrical system (5 marks) (c) Draw a...
Problem1: Consider the translational system shown in the figure below. Att-0,x (displacement)-y (let y represents velocity)-fat)0. The physical constants are: M-3,B1,B2B 0.5. Find the first order system equation in y and do following. a) Find the response, y(t) of the system when subjected to a step input,falt)-A b). Find time constant, "7". c Identify the steady state, "yss" and transient, "yr" part of the response. d). Sketch the complete response when the input is unit step function. e). Is the...
Problem 2 - A modified mass-spring-damper system: Model the modified mass-spring-damper system shown below. The mass of the handle is negligi- ble (only 1 FBD is necessary). Consider the displacement (t) to be the input to the system and the cart displacement az(t) to be the output. You may assume negligible drag. MwSpring-Damper System M0 Problem 3 Repeat problem 2, but with the following differences: • Assume the mass of the handle m, is not equal to zero. You may...
NOTE 2: Initial conditions assumed to be 0 unless otherwise is stated 1) Consider the system depicted below Input: v, Output: vo Assume that c (0)2, v2 (0)0 a) b) c) d) Derive the mathematical model of the system using mesh current method Find unit impulse response Find unit step response Find the transfer function T(s)Vo (s)/V(s) 2) Consider the system depicted below 2,20.5 Input: v, Output: i Assume that i,(0) 1, vc(00 a) Derive the mathematical model of the...
please can you solve clearly and step by step
GA Problem-5: The system given in the following figure consists of a pulley with inertia ) and radius r, and a hanging object with mass m. The input of this system is the torque t applied on the pulley and angle is measured along CCW direction in radians. Assume that the effect of gravity is balanced by the springs before the torque is applied. a) Obtain a parametric mathematical model for...
3) Consider the system depicted below xz Input: F. Output: x Assume that all initial conditions are zero. a) Derive mathematical model of the system b Find unit step response c) Find the transfer function T(s) X2(s)/Fs) d) What is the final value of the output be. limx)-7) for F)- 4) Find the transfer function state space R(s) for each of the following sytems represented in a) 10 y-[1 0 0 b) 2 -3-8 3 -5 y-1 3 6 c)...
6. For the following mechanical system: a) Find a mathematical model b) Find the transfer function, G(s) = c Find impulse, step and ramp response by using MATLAB functions d) Find harmonic response by using MATLAB SIMULINK T(s) 2 N-m-s/rad 2 N-m/rad N2-20 T0) l kg-m2 N3-40 010 N1-5 N4-10 0.02 N-m-s/radl
6. For the following mechanical system: a) Find a mathematical model b) Find the transfer function, G(s) = c Find impulse, step and ramp response by using MATLAB...
Consider the mass-spring-damper system depicted in the figure below, where the input of the system is the applied force F(t) and the output of the system is xít) that is the displacement of the mass according to the coordinate system defined in that figure. Assume that force F(t) is applied for t> 0 and the system is in static equilibrium before t=0 and z(t) is measured from the static equilibrium. b m F Also, the mass of the block, the...
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