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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...
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...
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...
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...
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...
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...
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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