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![Put numerical values. acum -4.1758K 3.7357 K - 2.5324 mw 10.- - lelosok 1.7725 k-2,655omw? ] * 3.7357K-9.5324 mw? alol258K -4](http://img.homeworklib.com/questions/59c92d20-611b-11eb-a6d0-2fe1d3937254.png?x-oss-process=image/resize,w_560)
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Consider the system shown in the figure below. Assume the coefficients a = 2.5599,b= 2.5324,c= 1.1758,...
Consider the system shown in the figure below. If the coefficients a and bare a =...
Consider the system shown in the figure below. If the coefficients a and bare a = 7.2664 and b = 19.4501, determine the ratio of displacements of u12/uzz of mode 2 ат. bm 2.6767 O -2.6767 -0.3736 O 0.3736 -0.3132
6- A contiuous-time periodic signal x(t) is given graphically below. (a) Determine the exponential Fourier coefficients...
6- A contiuous-time periodic signal x(t) is given graphically below. (a) Determine the exponential Fourier coefficients for k+oo a ()-ΣGeko, k-oo where c is given by T/2 1 (t)ek dt J-T/2 Ck= T (b) r(t) is applied as an input to an LTI system whose frequency response is H(ju)=2 sin(w Determine the corresponding output y(t) (e) Sketch y(t). Be sure to mark the axes properly -JT
6- A contiuous-time periodic signal x(t) is given graphically below. (a) Determine the exponential...
7. Consider the three connected objects shown in the figure below. Assume that the system is...
7. Consider the three connected objects shown in the figure below. Assume that the system is in equilibrium - that is, nothing is moving. There is no friction anywhere in this problem. (a) Solve for M, Ti and T2 in terms of m, 9 and e. 15 points (b) Now assume that M is four times the value found in part (a). Solve for acceleration (a) of each object in terms of g, and 0. 세 M am
For the system shown below, find a) the modeling equation in x; b) natural frequency; c)...
For the system shown below, find a) the modeling equation in x; b) natural frequency; c) damping ratio; d) frequency ratio; e) Magnification factor and f) Steady-state amplitude. M, sin or m = 10 kg 1 = 0.1 kg-m = 10 cm k = 1.6 x 10 **640 N. M = 2 zie " * = 180 rad
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
The mechanical system shown in the figure below is excited by a sinusoidal force f(t)-Fi cos(ut...
The mechanical system shown in the figure below is excited by a sinusoidal force f(t)-Fi cos(ut + ?) N. The differential equation of the displacement x(t) is Use phasor techniques to solve for the displacement phasor Xin terms of the excitation frequency ? , and the mechanical elements M = 0.1 kg, D = 8 N-s/m , and K = 2,000 N/m . If Fi-10 N and ?? = 30°, determine the excitation frequency w (in rad/s) at which the...
Problem B-8-7 A free vibration of the mechanical system shown in Figure 8-27(a) indicates that the...
Problem B-8-7 A free vibration of the mechanical system shown in Figure 8-27(a) indicates that the amplitude of vibration decreases to 25% of the value at 1-10 after four consecutive cycles of motion, as Figure 8-27(b)shows. Determine the viscous-friction coefficient b of the system if - kg and k 500 N/m. AAAA?~ x4 = 0.25 im Figure 8-27 (a) Mechanical system (b) portion of a free vibration curve.
3.3 Consider the positional servomechanism shown in Fig. P3.3. Assume that the input to the system...
3.3 Consider the positional servomechanism shown in Fig. P3.3. Assume that the input to the system is reference shaft position ®, and the system output is the load shaft position 0. Draw a block diagram of the system indicating the transfer function of each block. Simplify the block diagram to obtain (s)/e (s). The parameters of the system are given below. Sensitivity of error detector K = 10 volts/rad Amplifier gain K = 50 volts/volt Motor field resistance R,= 100...
3.23 The system shown in Figure P3.23 is acted upon by the forcing function shown. The...
3.23 The system shown in Figure P3.23 is acted upon by the forcing function shown. The system parameters are m = 15 kg, k = 75 kN/m,fo = 750 N, and o 15.13 Hz. Tasks: For motion about equilibrium, determine the steady-state amplitude and phase: (a) Free vibration tests result in a log dec, 6, of Im 0.523 (b) c=0. (c) Using the damping from part (a), determine ft)-fo cos ot the range of excitation frequencies such that the amplitude...
Consider the system shown in the figure below. The mass moment of inertia of the bar...
Consider the system shown in the figure below. The mass moment
of inertia of the bar about the point O is JO, and the torsional
stiffness of the spring attached to the pivot point is kt . Assume
that there is gravity loading. The centre of gravity of the bar is
midways, as shown in the figure.
Question 2 Consider the system shown in the figure below. The mass moment of inertia of the bar about the point O is...
Consider the system shown in the figure below. If the coefficients a and bare a = 7.2664 and b = 19.4501, determine the ratio of displacements of u12/uzz of mode 2 ат. bm 2.6767 O -2.6767 -0.3736 O 0.3736 -0.3132
6- A contiuous-time periodic signal x(t) is given graphically below. (a) Determine the exponential Fourier coefficients for k+oo a ()-ΣGeko, k-oo where c is given by T/2 1 (t)ek dt J-T/2 Ck= T (b) r(t) is applied as an input to an LTI system whose frequency response is H(ju)=2 sin(w Determine the corresponding output y(t) (e) Sketch y(t). Be sure to mark the axes properly -JT
6- A contiuous-time periodic signal x(t) is given graphically below. (a) Determine the exponential...
7. Consider the three connected objects shown in the figure below. Assume that the system is in equilibrium - that is, nothing is moving. There is no friction anywhere in this problem. (a) Solve for M, Ti and T2 in terms of m, 9 and e. 15 points (b) Now assume that M is four times the value found in part (a). Solve for acceleration (a) of each object in terms of g, and 0. 세 M am
For the system shown below, find a) the modeling equation in x; b) natural frequency; c) damping ratio; d) frequency ratio; e) Magnification factor and f) Steady-state amplitude. M, sin or m = 10 kg 1 = 0.1 kg-m = 10 cm k = 1.6 x 10 **640 N. M = 2 zie " * = 180 rad
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
The mechanical system shown in the figure below is excited by a sinusoidal force f(t)-Fi cos(ut + ?) N. The differential equation of the displacement x(t) is Use phasor techniques to solve for the displacement phasor Xin terms of the excitation frequency ? , and the mechanical elements M = 0.1 kg, D = 8 N-s/m , and K = 2,000 N/m . If Fi-10 N and ?? = 30°, determine the excitation frequency w (in rad/s) at which the...
Problem B-8-7 A free vibration of the mechanical system shown in Figure 8-27(a) indicates that the amplitude of vibration decreases to 25% of the value at 1-10 after four consecutive cycles of motion, as Figure 8-27(b)shows. Determine the viscous-friction coefficient b of the system if - kg and k 500 N/m. AAAA?~ x4 = 0.25 im Figure 8-27 (a) Mechanical system (b) portion of a free vibration curve.
3.3 Consider the positional servomechanism shown in Fig. P3.3. Assume that the input to the system is reference shaft position ®, and the system output is the load shaft position 0. Draw a block diagram of the system indicating the transfer function of each block. Simplify the block diagram to obtain (s)/e (s). The parameters of the system are given below. Sensitivity of error detector K = 10 volts/rad Amplifier gain K = 50 volts/volt Motor field resistance R,= 100...
3.23 The system shown in Figure P3.23 is acted upon by the forcing function shown. The system parameters are m = 15 kg, k = 75 kN/m,fo = 750 N, and o 15.13 Hz. Tasks: For motion about equilibrium, determine the steady-state amplitude and phase: (a) Free vibration tests result in a log dec, 6, of Im 0.523 (b) c=0. (c) Using the damping from part (a), determine ft)-fo cos ot the range of excitation frequencies such that the amplitude...
Consider the system shown in the figure below. The mass moment
of inertia of the bar about the point O is JO, and the torsional
stiffness of the spring attached to the pivot point is kt . Assume
that there is gravity loading. The centre of gravity of the bar is
midways, as shown in the figure.
Question 2 Consider the system shown in the figure below. The mass moment of inertia of the bar about the point O is...
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