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PROB#3 (25%) 5k M: 37 . 2.c lokg ka4ooo /m c-400 N-s/u r=o.im F(t)= 300 Sin...
PeoB.# 3(25%) 5k Ws 36 2c lokg Kadooo fun c-400 N-s/ F(t)= 300 Sin (200) r=o.im...
PeoB.# 3(25%) 5k Ws 36 2c lokg Kadooo fun c-400 N-s/ F(t)= 300 Sin (200) r=o.im EVALUATE THE STEADY Bu FCE STATE RESPONSE Oss(t) w 32k
8(s +5) C(s) R(s) +10s2 +16s+40 3. (25 points) The transfer function of a system is...
8(s +5) C(s) R(s) +10s2 +16s+40 3. (25 points) The transfer function of a system is obtained as The input to the system is given as r()0.01 sin(5t) (m), obtain the steady-state motion of the system cfi->o). (b) Obtain the steady-state response of the system when a unity step input is applied to the system.
A driving force of the form F(t) = (0.215 N) sin (2 ft) acts on a...
A driving force of the form F(t) = (0.215 N) sin (2 ft) acts on a weakly damped spring oscillator with mass 6.86 kg, spring constant 322 N/m, and damping constant 0.217 kg/s. What frequency of the driving force will maximize the response of the oscillator? frequency: Find the amplitude of the oscillator's steady-state motion when the driving force has this frequency amplitude:
A driving force of the form F(t) = (0.212 N) sin (2xft) acts on a weakly...
A driving force of the form F(t) = (0.212 N) sin (2xft) acts on a weakly damped spring oscillator with mass 6.98 kg, spring constant 362 N/m, and damping constant 0.261 kg/s. What frequency fo of the driving force will maximize the response of the oscillator? fo = Hz Find the amplitude Ao of the oscillator's steady-state motion when the driving force has this frequency Find the amplitude Ap of the oscillator's steady-state motion when the driving force has this...
A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is...
A spring-mass system has a
spring constant of 3 N/m. A mass of 2 kg is attached to the spring,
and the motion takes place in a viscous fluid that offers a
resistance numerically equal to the magnitude of the instantaneous
velocity. If the system is driven by an external force of (27 cos
3t − 18 sin 3t) N, determine the steady state response. Express
your answer in the form R cos(ωt − δ). (Let u(t) be the
displacement...
T =1050 K P.950 kPa m-5k/s Q=12 kW Question 1 150 Points) Combustion gases that we...
T =1050 K P.950 kPa m-5k/s Q=12 kW Question 1 150 Points) Combustion gases that we can assume to be air enter a gas turbine at T-1050 K and P-950 kPa at a mass flow rate of 5 kg/s and leave the turbine at T 850 K and P-500 kPa. The heat lost to the surroundings at 25 °C is 12 kW. The flow through the turbine is steady state steady flow process. The air can be assumed to be...
10 Ich *74) . CONSIDER THE FOLLOWING SYSTEM: 100 W/m 500 N/m. t>XH) mom 89 кл...
10 Ich *74) . CONSIDER THE FOLLOWING SYSTEM: 100 W/m 500 N/m. t>XH) mom 89 кл Н į X16)= om} 20 kg Is the 2* (o)= omiss (a) if f1t): = : 25 sin (2017) + 0.1 sin (20015+) N, . FIND THE STEADY STATE PART OF THE RESPONSE. (b) IF FCt) = 110N, FIND THE TRANSIENT PART OF THE RESPONSE. IF F(H) = 25 sin (w+), FIND THE VALUE OF W THAT RESULTS IN THE MAXIMUM STEADY STATE AMPLITUDE...
6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0<x<a, 0<t (2') u(0,y, t)-gi(v), u(a,y,t)-89(v) 0 <y<b, o<t (3) Show th...
6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0<x<a, 0<t (2') u(0,y, t)-gi(v), u(a,y,t)-89(v) 0 <y<b, o<t (3) Show that the steady-state solution involves the potential equation, and indicate how to solve it.
6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0
1. Consider the system shown. Assume B-3 N-s/m and K-7 N/m. Negligible Mass a) Find the...
1. Consider the system shown. Assume B-3 N-s/m and K-7 N/m. Negligible Mass a) Find the transfer function, H(s)-X(s)Fa(s) b) Using the transfer function, find the unit step response and the unit impulse response. c) Using the transfer function, find the steady-state response when fa(t) 2 sin (4t) d) Find the free response (zero-input response) assuming x(0) 2 m.
F(N) 2. A 15 kg oscillator with a stiffness of k = 960 N/m and damping...
F(N) 2. A 15 kg oscillator with a stiffness of k = 960 N/m and damping coefficient c = 60 Ns/m is driven by a square- wave excitation F(t) shown in the figure. Determine and plot the steady state response for 12 s using 100 terms in the Fourier series solution. 100 -100
PeoB.# 3(25%) 5k Ws 36 2c lokg Kadooo fun c-400 N-s/ F(t)= 300 Sin (200) r=o.im EVALUATE THE STEADY Bu FCE STATE RESPONSE Oss(t) w 32k
8(s +5) C(s) R(s) +10s2 +16s+40 3. (25 points) The transfer function of a system is obtained as The input to the system is given as r()0.01 sin(5t) (m), obtain the steady-state motion of the system cfi->o). (b) Obtain the steady-state response of the system when a unity step input is applied to the system.
A driving force of the form F(t) = (0.215 N) sin (2 ft) acts on a weakly damped spring oscillator with mass 6.86 kg, spring constant 322 N/m, and damping constant 0.217 kg/s. What frequency of the driving force will maximize the response of the oscillator? frequency: Find the amplitude of the oscillator's steady-state motion when the driving force has this frequency amplitude:
A driving force of the form F(t) = (0.212 N) sin (2xft) acts on a weakly damped spring oscillator with mass 6.98 kg, spring constant 362 N/m, and damping constant 0.261 kg/s. What frequency fo of the driving force will maximize the response of the oscillator? fo = Hz Find the amplitude Ao of the oscillator's steady-state motion when the driving force has this frequency Find the amplitude Ap of the oscillator's steady-state motion when the driving force has this...
A spring-mass system has a
spring constant of 3 N/m. A mass of 2 kg is attached to the spring,
and the motion takes place in a viscous fluid that offers a
resistance numerically equal to the magnitude of the instantaneous
velocity. If the system is driven by an external force of (27 cos
3t − 18 sin 3t) N, determine the steady state response. Express
your answer in the form R cos(ωt − δ). (Let u(t) be the
displacement...
T =1050 K P.950 kPa m-5k/s Q=12 kW Question 1 150 Points) Combustion gases that we can assume to be air enter a gas turbine at T-1050 K and P-950 kPa at a mass flow rate of 5 kg/s and leave the turbine at T 850 K and P-500 kPa. The heat lost to the surroundings at 25 °C is 12 kW. The flow through the turbine is steady state steady flow process. The air can be assumed to be...
10 Ich *74) . CONSIDER THE FOLLOWING SYSTEM: 100 W/m 500 N/m. t>XH) mom 89 кл Н į X16)= om} 20 kg Is the 2* (o)= omiss (a) if f1t): = : 25 sin (2017) + 0.1 sin (20015+) N, . FIND THE STEADY STATE PART OF THE RESPONSE. (b) IF FCt) = 110N, FIND THE TRANSIENT PART OF THE RESPONSE. IF F(H) = 25 sin (w+), FIND THE VALUE OF W THAT RESULTS IN THE MAXIMUM STEADY STATE AMPLITUDE...
6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0<x<a, 0<t (2') u(0,y, t)-gi(v), u(a,y,t)-89(v) 0 <y<b, o<t (3) Show that the steady-state solution involves the potential equation, and indicate how to solve it.
6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0
1. Consider the system shown. Assume B-3 N-s/m and K-7 N/m. Negligible Mass a) Find the transfer function, H(s)-X(s)Fa(s) b) Using the transfer function, find the unit step response and the unit impulse response. c) Using the transfer function, find the steady-state response when fa(t) 2 sin (4t) d) Find the free response (zero-input response) assuming x(0) 2 m.
F(N) 2. A 15 kg oscillator with a stiffness of k = 960 N/m and damping coefficient c = 60 Ns/m is driven by a square- wave excitation F(t) shown in the figure. Determine and plot the steady state response for 12 s using 100 terms in the Fourier series solution. 100 -100
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