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PROB.#2: (30%) A SYSTEM WITH A W= 2016; k= soolb/on, 5= 0.15 AND ZERO INITIAL CONDITIONS...
PROB. #2= (30%) À 34STEM WITH A W= 2015; K= 500lb, 5=0.5 AND ZERO INITIAL CONDITIONS...
PROB. #2= (30%) À 34STEM WITH A W= 2015; K= 500lb, 5=0.5 AND ZERO INITIAL CONDITIONS IS SUBJECTED To FORCING FUNCTION shown Below: THE i F(t) 2506 t EVALUATE THE DISPLACEMENT @ to 31
A SYSTEM WITH A W= 2016 WITH A We 2015; K= 500lb/n , {=0.15 AND ZERO...
A SYSTEM WITH A W= 2016 WITH A We 2015; K= 500lb/n , {=0.15 AND ZERO INITIAL CONDITIONS is SUBJECTED TO THE FORCING FUNCTION ShowN BELOW: F(t) 2506 t EVALUATE THE DISPLACEMENT @ t. 31
Problem 2 (25 points): Consider an undamped single-degree-of-freedom system with k = 10 N/m, 41 =...
Problem 2 (25 points): Consider an undamped single-degree-of-freedom system with k = 10 N/m, 41 = 10 N 92 = 8N, and m = 10 kg subjected to the harmonic force f(t) = qı sin(vt) + 92 cos(vt), v = 1 rad/ sec. Assume zero initial conditions (0) = 0 and c(0) = 0. Derive and plot the analytical solution of the displacement of the system. mm m = f(t) WWWWWWWW No friction Problem 2 Problem 3 (30 points): Using...
W set 1, page4 o 4 ade ApPL 5. Find a system of differential equations and initial conditions for...
w set 1, page4 o 4 ade ApPL 5. Find a system of differential equations and initial conditions for the currents in the network given below. Assume that all initial currents are zero. Solve for the currents in the network. 10Ω 5Ω
w set 1, page4 o 4 ade ApPL 5. Find a system of differential equations and initial conditions for the currents in the network given below. Assume that all initial currents are zero. Solve for the currents in...
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)...
1.7-3 For a certain LTI system with the input f(t), the output y(t) and the two initial conditions (0) and 2(0), follow...
1.7-3 For a certain LTI system with the input f(t), the output y(t) and the two initial conditions (0) and 2(0), following observations were made 1(0) z2(0) eu(t) e(3+2)u(t) 2u(t) 0 0 (t) Determine v(t) when both the initial conditions are zero and the input f(t) is as shown in Fig. P1.7-3. Hint: There are three causes: the input and each of the two initial conditions. Because of linearity property, if a cause is increased by a factor k, the...
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of...
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of the state vector r for a unit step input a(t) = 1(t).
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of the state vector r for a unit step input a(t) = 1(t).
A reciprocating pump weighing W-150 lb, is mounted at a middle of a steel plate of thickness 0.5 ...
A reciprocating pump weighing W-150 lb, is mounted at a middle of a steel plate of thickness 0.5 in., width of 20 in., and clamped along two edges as shown. During operation of pump, the plate is subjected to a harmonic force F(t)-P, . cos(ω·) [lb] 0.5 in. 100 in. where the amplitude of harmonic force is Fo=50 lb and its angular frequency: ω-62832 radl s Model the system as a simple spring and mass system in the horizontal plane....
2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency wh...
2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency when Fa)-2sin10 c) Calculate the response of the system for F)-2sin10/, xo-0,-10 m/s. d) Calculate the response of the system for F)-108t), xo-0, -10 m/s. c) Calculate the response of the system for F(i)-2sin10+108(-2), x0-0, ao-10 m/s. nt Ft) Figure 1. Mass-spring system
2. (30...
a C k ww fwyn F(t) (m Calculate the vibration response of the shown system when...
a C k ww fwyn F(t) (m Calculate the vibration response of the shown system when the force F(1) = 25 S(1), where 8(t) is the Dirac delta function. Consider the data of Problem 4 and zero initial conditions.
PROB. #2= (30%) À 34STEM WITH A W= 2015; K= 500lb, 5=0.5 AND ZERO INITIAL CONDITIONS IS SUBJECTED To FORCING FUNCTION shown Below: THE i F(t) 2506 t EVALUATE THE DISPLACEMENT @ to 31
A SYSTEM WITH A W= 2016 WITH A We 2015; K= 500lb/n , {=0.15 AND ZERO INITIAL CONDITIONS is SUBJECTED TO THE FORCING FUNCTION ShowN BELOW: F(t) 2506 t EVALUATE THE DISPLACEMENT @ t. 31
Problem 2 (25 points): Consider an undamped single-degree-of-freedom system with k = 10 N/m, 41 = 10 N 92 = 8N, and m = 10 kg subjected to the harmonic force f(t) = qı sin(vt) + 92 cos(vt), v = 1 rad/ sec. Assume zero initial conditions (0) = 0 and c(0) = 0. Derive and plot the analytical solution of the displacement of the system. mm m = f(t) WWWWWWWW No friction Problem 2 Problem 3 (30 points): Using...
w set 1, page4 o 4 ade ApPL 5. Find a system of differential equations and initial conditions for the currents in the network given below. Assume that all initial currents are zero. Solve for the currents in the network. 10Ω 5Ω
w set 1, page4 o 4 ade ApPL 5. Find a system of differential equations and initial conditions for the currents in the network given below. Assume that all initial currents are zero. Solve for the currents in...
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)...
1.7-3 For a certain LTI system with the input f(t), the output y(t) and the two initial conditions (0) and 2(0), following observations were made 1(0) z2(0) eu(t) e(3+2)u(t) 2u(t) 0 0 (t) Determine v(t) when both the initial conditions are zero and the input f(t) is as shown in Fig. P1.7-3. Hint: There are three causes: the input and each of the two initial conditions. Because of linearity property, if a cause is increased by a factor k, the...
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of the state vector r for a unit step input a(t) = 1(t).
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of the state vector r for a unit step input a(t) = 1(t).
A reciprocating pump weighing W-150 lb, is mounted at a middle of a steel plate of thickness 0.5 in., width of 20 in., and clamped along two edges as shown. During operation of pump, the plate is subjected to a harmonic force F(t)-P, . cos(ω·) [lb] 0.5 in. 100 in. where the amplitude of harmonic force is Fo=50 lb and its angular frequency: ω-62832 radl s Model the system as a simple spring and mass system in the horizontal plane....
2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency when Fa)-2sin10 c) Calculate the response of the system for F)-2sin10/, xo-0,-10 m/s. d) Calculate the response of the system for F)-108t), xo-0, -10 m/s. c) Calculate the response of the system for F(i)-2sin10+108(-2), x0-0, ao-10 m/s. nt Ft) Figure 1. Mass-spring system
2. (30...
a C k ww fwyn F(t) (m Calculate the vibration response of the shown system when the force F(1) = 25 S(1), where 8(t) is the Dirac delta function. Consider the data of Problem 4 and zero initial conditions.
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