Homework Answers
Add Answer to:
3. Consider the spring - mass system shown below, consisting of two masses mi and ma sus- pended ...
3. Consider the spring - mass system shown below, consisting of two masses mi and m2 sus- pended ...
3. Consider the spring - mass system shown below, consisting of two masses mi and m2 sus- pended from springs with spring constants ki and k2, respectively. Assume that there is no damping in the system. a) Show that the displacements ai and r2 of the masses from their respective equilibrium positions satisfy the differential equations b) Use the above result to show that the spring-mass system satisfies the following fourth order differential equation and c) Find the general solution...
6.(16) Consider the spring-mass system shown, consisting of two unit masses m, and my suspended from...
6.(16) Consider the spring-mass system shown, consisting of two unit masses m, and my suspended from springs with constants k, and ky, respectively. Assuming that there is no damping in the system, the displacement y(t) of the bottom mass m, from its equilibrium positions satisfies the 4-order equation (4) y2 + k + k)y + k_k2yz = e-2, where f(t) = e-2 is an outside force driving the motion of m. If a 24 N weight would stretch the top...
4. Two masses mi and m2 are connected to three springs of negligible mass having spring constants...
4. Two masses mi and m2 are connected to three springs of negligible mass having spring constants k1, k2 and k3, respectively. x2=0 Il k, Let xi and x2 represent The motion of the equations: displacements of masses mi and m2 from their equilibrium positions . coupled system is represented by the system of second-order differential d2x dt2 d2x2 Using Laplace transform to solve the system when k1 1 and x1(0) = 0, xi (0)--1 , x2(0) = 0, x(0)-1....
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...
8.9 The MEMS of Figure 8.29 is formed of two shuttle masses mi and m2 coupled by a serpentine spr...
8.9 The MEMS of Figure 8.29 is formed of two shuttle masses mi and m2 coupled by a serpentine spring of stiffness k and supported separately by two pairs of identical beam springs- each beam has a stiffness ki. The shuttle masses are subjected to viscous damping individually through substrate interaction-the damping coefficient is c, and an electrostatic force f acts on mi. Use a lumped-parameter model of this MEMS device and obtain a state-space model for it by considering...
IV. Spring-Mass System Application - Consider the system of two masses and three springs as shown...
IV. Spring-Mass System Application - Consider the system of two masses and three springs as shown in the figure below. Let z(t) be the position mass m, and y(t) be the position of mass m. Let m, = 1, m, = 1, k, = 4, k, = 6, and k, = 4. ksi-ik, a.) Model the system with two second order differential equations. 6a.) System: b) Find the general solution to the system using the constants.) head of your choice....
1. A suspension system shown in the figure is modified by adding two additional springs each with a spring constant of k, kN/m in addition to the other existing three springs with k 90 kN/m each....
1. A suspension system shown in the figure is modified by adding two additional springs each with a spring constant of k, kN/m in addition to the other existing three springs with k 90 kN/m each. The design also adds two additional dampers in addition to the two existing dampers each with the same viscous damping coefficient c (= 4000 Ns/m). The viscous damping ratiofor the underdamped system, 7 is 0.95. The mass of the system, m = 150 kg....
3.10 (Motor drive) Consider a system consisting of a motor driving two masses that are connected...
3.10 (Motor drive) Consider a system consisting of a motor driving two masses that are connected by a torsional spring, as shown in the diagram below. Motor This system can represent a motor with a flexible shaft that drives a load. Assuming that the motor delivers a torque that is proportional to the current I, the dynamics of the system can be described by the equations dt dt (3.43) dtdt where Ф1 and P2 are the angles of the two...
Question. Systems of ODEs of higher order can be solved by the Laplace transform method. As...
Question. Systems of ODEs of higher order can be solved by the Laplace transform method. As an important application, typical of many similar mechanical systems, consider coupled vibrating masses on springs. Wrovov The mechanical system in the Figure consists of two bodies of mass 1 on three springs of the same spring constant k and of negligibly small masses of the springs. Also damping is assumed to be practically zero. Then the model of the physical system is the system...
Please show work 3. Given a mass-spring-damper system, the 2kg mass is connected to two linear...
Please show work
3. Given a mass-spring-damper system, the 2kg mass is connected to two linear springs with stiffness coefficients ki- 100 N/m and ki 150 N/m and a viscous damper with b 50 Ns/m. A constant force of SN is applied as shown. The effect of friction is negligible. ki m b 3.1 [2pts] Determine the equivalent stiffness of the springs. 3.2 [3pts] Draw the free-body diagram of the system. Define the generalized coordinate and label your forces and...
3. Consider the spring - mass system shown below, consisting of two masses mi and m2 sus- pended from springs with spring constants ki and k2, respectively. Assume that there is no damping in the system. a) Show that the displacements ai and r2 of the masses from their respective equilibrium positions satisfy the differential equations b) Use the above result to show that the spring-mass system satisfies the following fourth order differential equation and c) Find the general solution...
6.(16) Consider the spring-mass system shown, consisting of two unit masses m, and my suspended from springs with constants k, and ky, respectively. Assuming that there is no damping in the system, the displacement y(t) of the bottom mass m, from its equilibrium positions satisfies the 4-order equation (4) y2 + k + k)y + k_k2yz = e-2, where f(t) = e-2 is an outside force driving the motion of m. If a 24 N weight would stretch the top...
4. Two masses mi and m2 are connected to three springs of negligible mass having spring constants k1, k2 and k3, respectively. x2=0 Il k, Let xi and x2 represent The motion of the equations: displacements of masses mi and m2 from their equilibrium positions . coupled system is represented by the system of second-order differential d2x dt2 d2x2 Using Laplace transform to solve the system when k1 1 and x1(0) = 0, xi (0)--1 , x2(0) = 0, x(0)-1....
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...
8.9 The MEMS of Figure 8.29 is formed of two shuttle masses mi and m2 coupled by a serpentine spring of stiffness k and supported separately by two pairs of identical beam springs- each beam has a stiffness ki. The shuttle masses are subjected to viscous damping individually through substrate interaction-the damping coefficient is c, and an electrostatic force f acts on mi. Use a lumped-parameter model of this MEMS device and obtain a state-space model for it by considering...
IV. Spring-Mass System Application - Consider the system of two masses and three springs as shown in the figure below. Let z(t) be the position mass m, and y(t) be the position of mass m. Let m, = 1, m, = 1, k, = 4, k, = 6, and k, = 4. ksi-ik, a.) Model the system with two second order differential equations. 6a.) System: b) Find the general solution to the system using the constants.) head of your choice....
1. A suspension system shown in the figure is modified by adding two additional springs each with a spring constant of k, kN/m in addition to the other existing three springs with k 90 kN/m each. The design also adds two additional dampers in addition to the two existing dampers each with the same viscous damping coefficient c (= 4000 Ns/m). The viscous damping ratiofor the underdamped system, 7 is 0.95. The mass of the system, m = 150 kg....
3.10 (Motor drive) Consider a system consisting of a motor driving two masses that are connected by a torsional spring, as shown in the diagram below. Motor This system can represent a motor with a flexible shaft that drives a load. Assuming that the motor delivers a torque that is proportional to the current I, the dynamics of the system can be described by the equations dt dt (3.43) dtdt where Ф1 and P2 are the angles of the two...
Question. Systems of ODEs of higher order can be solved by the Laplace transform method. As an important application, typical of many similar mechanical systems, consider coupled vibrating masses on springs. Wrovov The mechanical system in the Figure consists of two bodies of mass 1 on three springs of the same spring constant k and of negligibly small masses of the springs. Also damping is assumed to be practically zero. Then the model of the physical system is the system...
Please show work
3. Given a mass-spring-damper system, the 2kg mass is connected to two linear springs with stiffness coefficients ki- 100 N/m and ki 150 N/m and a viscous damper with b 50 Ns/m. A constant force of SN is applied as shown. The effect of friction is negligible. ki m b 3.1 [2pts] Determine the equivalent stiffness of the springs. 3.2 [3pts] Draw the free-body diagram of the system. Define the generalized coordinate and label your forces and...
Most questions answered within 3 hours.
-
Considering gravitational time dilation, calculate the time that
passes in Earth’s surface while 1 hour passes...
asked 5 minutes ago -
Minitab Problem: Take the Lake Hume June rainfall data and find
use the processes outlined in...
asked 57 minutes ago -
X Company is trying to decide whether to continue using old
equipment to make Product A...
asked 58 minutes ago -
IN PYTHON ONLY !! Program 2: Re-work
program #5 (WeeklyHours) from the previous assignment such that...
asked 1 hour ago -
The average length of time between arrivals at a turnpike
toll-booth is 26 seconds. What is...
asked 3 hours ago -
(a) A piston at 6.1 atm contains a gas that occupies a volume of
3.5 L....
asked 4 hours ago -
Please answer true or false. Words
cannot be changed or added in to make it true...
asked 4 hours ago -
An empty test tube weighs 15.923 grams. Then,
MgCl2•6H2O is added into the test tube. After...
asked 4 hours ago -
Assume memory access is 10 units of time and disk access is
10000 units of time....
asked 4 hours ago -
1. Are all good samples random?
2. Magazines often report surveys giving statistics such as “63%...
asked 5 hours ago -
Under all the various types of market structures, firms
must eventually earn some economic profits for...
asked 4 hours ago -
Consider the following fitness regime for a single locus trait
with two co-dominant alleles: w11 =...
asked 4 hours ago