Homework Answers
Add Answer to:
4. (20 points) A mass pring system has a mass of kg, a damping constant of...
Consider a mass-spring-dashpot system in which the mass is m = 4 lb-sec^2/ft, the damping constant...
Consider a mass-spring-dashpot system in which the mass is m = 4 lb-sec^2/ft, the damping constant is c =24 lb-sec/ft, and the spring constant is k=52lb/ft. The motion is free damped motion and the mass is set in motion with initial position x0=5ft and the initial velocity v0= -7ft/sec. Find the position function x(t) and determine whether the motion is overdamped, critically damped, or underdamped.
A į kg mass is attached to a spring with stiffness 4N/m and a damping constant...
A į kg mass is attached to a spring with stiffness 4N/m and a damping constant 1 N sec/m. The mass is displaced im to the left and given a velocity of 1m/sec to the left. (i) Find the equation of motion of the mass. (ii) What kind of motion do you get? Underdamped, overdamped or critically damped? (iii) What is the maximum displacement that the mass will attain?
5. (20 points) A mass weighing 8 pounds stretches a spring 1.6 feet. The entire system...
5. (20 points) A mass weighing 8 pounds stretches a spring 1.6 feet. The entire system is placed in a medium that offers a damping force numerically equivalent to twice the instantaneous velocity. The mass is initially released from a point 1/2 foot above the equilibrium point with a downward velocity of 5 ft/sec. (a) (6 points) Write the differential equation for the mass/spring system and identify the initial conditions. 7 5. (b) (12 points) Solve the IVP in part...
5. (20 points) A mass weighing 8 pounds stretches a spring 1.6 fort. The entire system...
5. (20 points) A mass weighing 8 pounds stretches a spring 1.6 fort. The entire system is placed in a medium that offers a damping force numerically equivalent to twice the instantaneous velocity. The mass is initially released from a point 1/2 foot above the equilibrium point with a downward velocity of 5 sec (a) (6 points) Write the differential equation for the mass spring system and identify the initial conditions 7 5. (b) (12 points) Solve the IVP in...
6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m, and the entire system is...
6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m, and the entire system is then submerged in a liquid that inparts a damping force equal to 4 tines the instantansous velocity. At t = 0 the mass is released from the equilibrium position with no initial velocity. An external force t)4t-3) is applied. (a) Write (t), the external force, as a piecewise function and sketch its graph b) Write the initial-value problem (c)Solve...
PART A PART B PART C PART D (1 point) A mass m = 4 kg...
PART A
PART B
PART C
PART D
(1 point) A mass m = 4 kg is attached to both a spring with spring constant k = 197 N/m and a dash-pot with damping constant c=4N s/m. The mass is started in motion with initial position to 3 m and initial velocity vo = 6 m/s. Determine the position function r(t) in meters. x(1) Note that, in this problem, the motion of the spring is underdamped, therefore the solution can...
5. A 2 kg mass is attached to a spring whose constant is 30 N/m, and the entire system is submerg...
5. A 2 kg mass is attached to a spring whose constant is 30 N/m, and the entire system is submerged in a liquid that imparts a damping force equal to 12 times the instaataneous velocity (a) Write the second-order linear differential equation to umodel the motion (b) Convert the second-order linear differential equation from part (a) to a first-order linear system (c) Classify the critical (equilibrium) point (0.0) (d) Sketch the phase portrait (e) Indicate the initial condition x(0)-(...
plz print your result -1 points МУ Not A mass weighing 3V 10 N stretches a spring 2 m. The mass is attached to a dashpot device that offers a damping force numerically equal to β (B > 0) times the...
plz print your result
-1 points МУ Not A mass weighing 3V 10 N stretches a spring 2 m. The mass is attached to a dashpot device that offers a damping force numerically equal to β (B > 0) times the instantaneous velocity Determine the values of the damping constant B so that the subsequent motion is overdamped, critically damped, and underdamped. (If an answer is an interval, use interval notation. Use g 9.8 m/s2 for the acceleration due to...
A mass weighing 4 pounds stretches a spring 6 inches. At time t = 0, the...
A mass weighing 4 pounds stretches a spring 6 inches. At time t = 0, the weight is then struck to set it into motion with an initial velocity of 2 ft/sec, directed downward. Determine the equations of motion for the position and the velocity of the weight. Find the amplitude, period, and frequency of the position (displacement). A 4-lb weight stretches a spring 1 ft. If the weight moves in a medium where the magnitude of the damping force...
(d) A 4-kg mass is suspended from a spring with a constant k 25, and a dashpot with various level...
(d) A 4-kg mass is suspended from a spring with a constant k 25, and a dashpot with various levels of damping viscosity is present. The mass is displaced 0.5 m from its equilibrium and released. Determine the displacement y(t) of the mass if (i) c-15 i) c20, (iii) c-25, and (iv) c 30 In each case, state whether the system is overdamped, critically damped, or underdamped, and sketch the solution curve.
(d) A 4-kg mass is suspended from a...
A į kg mass is attached to a spring with stiffness 4N/m and a damping constant 1 N sec/m. The mass is displaced im to the left and given a velocity of 1m/sec to the left. (i) Find the equation of motion of the mass. (ii) What kind of motion do you get? Underdamped, overdamped or critically damped? (iii) What is the maximum displacement that the mass will attain?
5. (20 points) A mass weighing 8 pounds stretches a spring 1.6 feet. The entire system is placed in a medium that offers a damping force numerically equivalent to twice the instantaneous velocity. The mass is initially released from a point 1/2 foot above the equilibrium point with a downward velocity of 5 ft/sec. (a) (6 points) Write the differential equation for the mass/spring system and identify the initial conditions. 7 5. (b) (12 points) Solve the IVP in part...
5. (20 points) A mass weighing 8 pounds stretches a spring 1.6 fort. The entire system is placed in a medium that offers a damping force numerically equivalent to twice the instantaneous velocity. The mass is initially released from a point 1/2 foot above the equilibrium point with a downward velocity of 5 sec (a) (6 points) Write the differential equation for the mass spring system and identify the initial conditions 7 5. (b) (12 points) Solve the IVP in...
6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m, and the entire system is then submerged in a liquid that inparts a damping force equal to 4 tines the instantansous velocity. At t = 0 the mass is released from the equilibrium position with no initial velocity. An external force t)4t-3) is applied. (a) Write (t), the external force, as a piecewise function and sketch its graph b) Write the initial-value problem (c)Solve...
PART A
PART B
PART C
PART D
(1 point) A mass m = 4 kg is attached to both a spring with spring constant k = 197 N/m and a dash-pot with damping constant c=4N s/m. The mass is started in motion with initial position to 3 m and initial velocity vo = 6 m/s. Determine the position function r(t) in meters. x(1) Note that, in this problem, the motion of the spring is underdamped, therefore the solution can...
5. A 2 kg mass is attached to a spring whose constant is 30 N/m, and the entire system is submerged in a liquid that imparts a damping force equal to 12 times the instaataneous velocity (a) Write the second-order linear differential equation to umodel the motion (b) Convert the second-order linear differential equation from part (a) to a first-order linear system (c) Classify the critical (equilibrium) point (0.0) (d) Sketch the phase portrait (e) Indicate the initial condition x(0)-(...
plz print your result
-1 points МУ Not A mass weighing 3V 10 N stretches a spring 2 m. The mass is attached to a dashpot device that offers a damping force numerically equal to β (B > 0) times the instantaneous velocity Determine the values of the damping constant B so that the subsequent motion is overdamped, critically damped, and underdamped. (If an answer is an interval, use interval notation. Use g 9.8 m/s2 for the acceleration due to...
A mass weighing 4 pounds stretches a spring 6 inches. At time t = 0, the weight is then struck to set it into motion with an initial velocity of 2 ft/sec, directed downward. Determine the equations of motion for the position and the velocity of the weight. Find the amplitude, period, and frequency of the position (displacement). A 4-lb weight stretches a spring 1 ft. If the weight moves in a medium where the magnitude of the damping force...
(d) A 4-kg mass is suspended from a spring with a constant k 25, and a dashpot with various levels of damping viscosity is present. The mass is displaced 0.5 m from its equilibrium and released. Determine the displacement y(t) of the mass if (i) c-15 i) c20, (iii) c-25, and (iv) c 30 In each case, state whether the system is overdamped, critically damped, or underdamped, and sketch the solution curve.
(d) A 4-kg mass is suspended from a...
Most questions answered within 3 hours.
-
Write a program to solve the Josephus problem, with the following
modification:
Sample Input:
./a.out n...
asked 2 hours ago -
At the start of a CD it is spinning at a rate of 525 rpm
(revolutions...
asked 3 hours ago -
4. Without doing any calculations, predict whether the observed
∆T would increase, decrease or remain the...
asked 4 hours ago -
Based on the range, which of the following sets of scores has
the greatest variability? 3,...
asked 5 hours ago -
Ripples in a pond travel at a velocity of 3 m/s with one peak
passing a...
asked 5 hours ago -
A man stands on the roof of a building of height 13.0 mm and
throws a...
asked 5 hours ago -
The extent to which assets are financed by borrowed funds and
other liabilities is indicated by:...
asked 6 hours ago -
Explain in detail
Germany is the fifth largest economy
explain what goods and services Germany specializes...
asked 6 hours ago -
The density of platinum is 21.45 g/mL. If a cube of platinum
with a mass of...
asked 6 hours ago -
Accounts Receivable
Sales
A/R Posting
Extended Sales Invoice
Packing Slip
Compare invoice to packing slip 2...
asked 6 hours ago -
Michaella, age 23, is a full-time law student and is claimed by
her parents as a...
asked 6 hours ago -
Why are polymers not typically casted into products?
asked 7 hours ago