Homework Answers
Add Answer to:
2. A two-mass translational mechanical system has the following mathematical model: mž +bi,+k, (*; - x)=f,0)...
Figure 4 shows a two-mass translational mechanical system. The applied force falt) acts on mass mi....
Figure 4 shows a two-mass translational mechanical system. The applied force falt) acts on mass mi. Displacements z1 and 22 are absolute positions of masses mi and m2, respectively, measured relative to fixed coordinates (the static equilibrium positions with fa(t) = 0). An oil film with viscous friction coefficient b separates masses mi and m2. Draw the free body diagram and derive the mathematical model of the vibration system using the diagram. falt) Oil film, friction coefficient b K m2...
Problem 2: Transfer Functions of Mechanical Systems. (20 Points) A model sketch for a two-mass mechanical...
Problem 2: Transfer Functions of Mechanical Systems. (20 Points) A model sketch for a two-mass mechanical system subjected to fluctuations (t) at the wall is provided in figure 2. Spring k, is interconnected with both spring ka and damper Os at the nodal point. The independent displacement of mass m is denoted by 1, the independent displacement of mass m, is denoted by r2, and the independent displacement of the node is denoted by ra. Assume a linear force-displacement/velocity relationship...
2. (a) Derive the mathematical model for the system shown; no need to simplify. (b) Draw...
2. (a) Derive the mathematical model for the system shown; no need to simplify. (b) Draw the electrical circuit analogous to this system. 2 2. Circuit with Voltage Source Inductance (L) Capacitance (1/C) Resistance (R) Charge (4) Voltage (v) Current (i) Mechanical System Mass (m) Stiffness (k) Viscous damper (c) Displacement (x) Force () Velocity (ä)
For a mass-spring-damper mechanical systems shown below, x200) K1-1 N/m 0000 -X,(0) K-1 N/m 00004 =...
For a mass-spring-damper mechanical systems shown below, x200) K1-1 N/m 0000 -X,(0) K-1 N/m 00004 = 1 N-s/m fr2 M1=1 kg = 2 N-s/m M2 -1 kg 13 = 1 N-s/m 1. Find the differential equations relating input force f(t) and output displacement xi(t) and x2(C) in the system. (40 marks) (Hint: K, fy and M are spring constant, friction coefficient and mass respectively) 2. Determine the transfer function G(s)= X1(s)/F(s) (20 marks)
Problem 5. Consider the dynamics of two mass mechanical system captured by d2xi(t) Middt?t2+k(x1(t)-x2(t)) = f(t)...
Problem 5. Consider the dynamics of two mass mechanical system captured by d2xi(t) Middt?t2+k(x1(t)-x2(t)) = f(t) d'x2(t) dt2 + k(x2(t)-x where M, , M2, and k are constants. Suppose the input is () and the output is X2 (t), find the transfer function G(s) of the system. Note: Consider all zero initial conditions.
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s...
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s)X2 (s)/F(s) (b) Does the system oscillate with a unit step input (f (t))? Explain the reason (c) Decide if the system(x2 (t)) is stable with a unit step input (f (t))? Explain the reason 1. 320) 8 kg 2 N/m 4N-s/m 2N-s/m Fig. 1 2. There are two suspensions for a car as shown in Fig. 2 (a) Find the equations of each...
Figure 4 shows a two-mass translational mechanical system. The applied force falt) acts on mass mi. Displacements z1 and 22 are absolute positions of masses mi and m2, respectively, measured relative to fixed coordinates (the static equilibrium positions with fa(t) = 0). An oil film with viscous friction coefficient b separates masses mi and m2. Draw the free body diagram and derive the mathematical model of the vibration system using the diagram. falt) Oil film, friction coefficient b K m2...
Problem 2: Transfer Functions of Mechanical Systems. (20 Points) A model sketch for a two-mass mechanical system subjected to fluctuations (t) at the wall is provided in figure 2. Spring k, is interconnected with both spring ka and damper Os at the nodal point. The independent displacement of mass m is denoted by 1, the independent displacement of mass m, is denoted by r2, and the independent displacement of the node is denoted by ra. Assume a linear force-displacement/velocity relationship...
2. (a) Derive the mathematical model for the system shown; no need to simplify. (b) Draw the electrical circuit analogous to this system. 2 2. Circuit with Voltage Source Inductance (L) Capacitance (1/C) Resistance (R) Charge (4) Voltage (v) Current (i) Mechanical System Mass (m) Stiffness (k) Viscous damper (c) Displacement (x) Force () Velocity (ä)
For a mass-spring-damper mechanical systems shown below, x200) K1-1 N/m 0000 -X,(0) K-1 N/m 00004 = 1 N-s/m fr2 M1=1 kg = 2 N-s/m M2 -1 kg 13 = 1 N-s/m 1. Find the differential equations relating input force f(t) and output displacement xi(t) and x2(C) in the system. (40 marks) (Hint: K, fy and M are spring constant, friction coefficient and mass respectively) 2. Determine the transfer function G(s)= X1(s)/F(s) (20 marks)
Problem 5. Consider the dynamics of two mass mechanical system captured by d2xi(t) Middt?t2+k(x1(t)-x2(t)) = f(t) d'x2(t) dt2 + k(x2(t)-x where M, , M2, and k are constants. Suppose the input is () and the output is X2 (t), find the transfer function G(s) of the system. Note: Consider all zero initial conditions.
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s)X2 (s)/F(s) (b) Does the system oscillate with a unit step input (f (t))? Explain the reason (c) Decide if the system(x2 (t)) is stable with a unit step input (f (t))? Explain the reason 1. 320) 8 kg 2 N/m 4N-s/m 2N-s/m Fig. 1 2. There are two suspensions for a car as shown in Fig. 2 (a) Find the equations of each...
Most questions answered within 3 hours.
-
The price of 1 lb of potatoes is $1.75. If all the potatoes sold
today at...
asked 47 minutes ago -
Garcia Company issues 20.00%, 15-year bonds with a par value of
$470,000 and semiannual interest payments....
asked 45 minutes ago -
In C++ Programming, Try using loops only.
This lab demonstrates the use of the While Loop...
asked 1 hour ago -
Effect of DCMU and sodium azide on Chlamydomonas? We did an
experiment where we had Chlamydomonas...
asked 2 hours ago -
1a) According to the ideal gas law, _______________.
a. a gas has infinite volume at absolute...
asked 3 hours ago -
Oakdale Fashions, Inc. had $245,000 in 2018 taxable income.
Using the tax schedule in Table 2.3...
asked 4 hours ago -
The marketing class at CSUS had an average score of 150. An
educational analyst determined that...
asked 5 hours ago -
Justin Case has purchased a $250 000 home by putting 20 % down
and taking out...
asked 5 hours ago -
1. In a labor market, marginal cost for a firm is
____________.
a. recruiting cost
b....
asked 6 hours ago -
On January 1, 2019, ABC Company issued $60,000,000 of 20-year,
10.5% bonds when the market rate...
asked 6 hours ago -
39.4% of US homes continue to use a landline in addition to cell
phone service. 3...
asked 7 hours ago -
Starting with benzene, synthesize 1-phenyl-1-butyne.
Show intermediates and reagents.
asked 8 hours ago