The system y(t)=x(t)cos[2(pi)t] is linear time invariant O nonlinear time invariant O linear time variant nonlinear time variant
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Q: The system y(t)=x(t)cos[2(pi)t] is O nonlinear time invariant nonlinear time variant O linear time…
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![The system y(t)=x(t)cos[2(pi)t] is
linear time invariant
nonlinear time invariant
O linear time variant
O nonlinear time variant](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4227d6ac-da78-4a33-9ab1-5bee3ec3393b%2F81aecf9d-1901-403a-b280-b31f1bf8a52d%2F4ntatci_processed.png&w=3840&q=75)
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- A velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): 1. What is the order of this system?A velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): A. Use Laplace transform of the differential equation to determine the transfer function of the system.A block spring system oscillates in a simple harmonic motion on africtionless horizontal table, its displacement varie with times according to x(t)=0,2cos(2t_3.14/4) the earliest time the particle reaches position x=0,1m is
- I need a Signal-Flow Graph for the element in the image below. Please solve with images and details. Thanks!Sketch the level response for a bathtub with cross-sectional area of 8 ft 2 as a function of time for the following sequence of events; assume an initial level of 0.5 ft with the drain open. The inflow and outflow are initially equal to2ft3/min.(a)The drain is suddenly closed, and the inflow remains con-stant for 3 min (0≤t≤3).(b)The drain is opened for 15 min; assume a time constant in a linear transfer function of 3 min, so a steady state is essentially reached (3≤t≤18) (c)The inflow rate is doubled for 6 min (18≤t≤24).(d)The inflow rate is returned to its original value for 16 min(24≤t≤40).Obtain the steady-state difference (f(∞) - v(∞) between the input and output of the following model: Tv + v= bf(t), where b is a constant and f(t) = mt. Assume that v(0) = 0 and that the model is stable (T > 0).
- Derive the governing differential equation for each system with the chosen generalized coordinate. SEE THE IMAGE BELOW Answers: 1. GDE: (5/2) mẍ + (5/4) kx = 0 2. GDE: (7/48) mL² ϴ [note: theta symbol has two dots above) + (3/8) cL² ϴ [ note: theta symbol has one dot above] + 5 kL² ϴ = 0a)If the system has a transfer function of the form G_P (s)=H(s)/(V_m (s) )=μ/(1+Ts) where µ is the gain and T is the time constant, calculate values for µ and T for the case where the valve is at position 3. Hints: Use the constants and information in table 1. The dynamics of the water tank can be found by applying the continuity equation: qin - qout = rate of change in water tankThe response of a certain dynamic system is given by: x(t)=0.003 cos(30t) +0.004 sin(30r) m (5Mks) Determino: (i) the amplitude of motion. (2Mks) (ii) the period of motion. (in) the linear frequency in Hz. (4) the angular frequency in rad/s. (2Mks) (2Mks) (2Mks) (2Mks) (v) the frequency in cpm. (vi) the phase angle. (2Mks) (vii) the response of the system in the form of x(t) = X sin(t +$) m.
- Vibrations Question The following mass–spring system is sliding on a surface of kinetic friction.The system has the following parameters for initial design purposes subject to changes based on overall system performancem=100 kg, k=1300 N/m , x(0)=0.4 , v(0)-0.01, uk=0.08, F(t)=01. Obtain the equation of motion of the system2. Derive the equivalent first-order ODEs with initial conditions to represent part 1A 1.5-kg mass attached to an ideal massless spring with a spring constant of 20.0 N/m oscillates on a horizontal, frictionless track. At time t = 0.00 s, the mass is released from x = 0.0 cm with a velocity of 0.370 m/s to the left. Find the followingA. Time periodB. Total mechanical energy of the massC. AmplitudeD. Phase constant of motion. Discuss the two possible values of phase constant you get and explain how you arrived at the correct answer. Write the equation of motion.E. Maximum acceleration of the mass. (Acceleration is maximum when it ispositive). How long after the release does the maximum acceleration occur?F. Draw the position-time graph for one cycle of motion.A 0.1kg object oscillator as a simle harmonic motion along the x _axis with a frequency f=3.18 hz at a position x1,the object has a kinetic energy 0.7j and a potential energy 0.3j,the amplitude of oscillation A is: