LE BlazerNET B Files X b Answered: Microsoft Whiteboard X A WeBWorK : EGR265 : HW_06_Vers X Sy (\partial}{\partial y} (2cos(\frac{2x X uab.instructure.com/courses/1520225/files/folder/Projects?preview=62859605 Apps M Gmail YouTube Maps GPS WeBWork : EGR265... Project2_Spring_2020.pdf L Download O Info X Close Page < of 4 ZOOM mx+Kx=F(t) X(0):0 X=0 Problem 1: A mass of 20 grams stretches a spring by 10/169 meters. (a) Find the spring constant k, the angular frequency w, as well as the period T and frequency f of free undamped motion for this spring-mass system. (b) Find the general solution x(t) of the DE for the free spring-mass system. (c) Suppose that an exterior force of F(t) = 2.5 sin(12t) in Newtons acts on the spring-mass system. Find the equation of motion (the solution x(t)) of the system if the mass initially is at rest in its equilibrium position. (Some hints: Start from the DE 1) with the correct values for m and k and use the Method of Undetermined Coefficients to find a particular solution X,(t). Then combine this with x(t) to find the general solution of 1). Finally, use the initial conditions to determine the constants in the general solution.) 11:55 AM e Type here to search 3/6/2020 ---------
LE BlazerNET B Files X b Answered: Microsoft Whiteboard X A WeBWorK : EGR265 : HW_06_Vers X Sy (\partial}{\partial y} (2cos(\frac{2x X uab.instructure.com/courses/1520225/files/folder/Projects?preview=62859605 Apps M Gmail YouTube Maps GPS WeBWork : EGR265... Project2_Spring_2020.pdf L Download O Info X Close Page < of 4 ZOOM mx+Kx=F(t) X(0):0 X=0 Problem 1: A mass of 20 grams stretches a spring by 10/169 meters. (a) Find the spring constant k, the angular frequency w, as well as the period T and frequency f of free undamped motion for this spring-mass system. (b) Find the general solution x(t) of the DE for the free spring-mass system. (c) Suppose that an exterior force of F(t) = 2.5 sin(12t) in Newtons acts on the spring-mass system. Find the equation of motion (the solution x(t)) of the system if the mass initially is at rest in its equilibrium position. (Some hints: Start from the DE 1) with the correct values for m and k and use the Method of Undetermined Coefficients to find a particular solution X,(t). Then combine this with x(t) to find the general solution of 1). Finally, use the initial conditions to determine the constants in the general solution.) 11:55 AM e Type here to search 3/6/2020 ---------
Transcribed Image Text:LE BlazerNET
B Files
X b Answered: Microsoft Whiteboard X
A WeBWorK : EGR265 : HW_06_Vers X
Sy (\partial}{\partial y} (2cos(\frac{2x X
uab.instructure.com/courses/1520225/files/folder/Projects?preview=62859605
Apps M Gmail
YouTube
Maps
GPS
WeBWork : EGR265...
Project2_Spring_2020.pdf
L Download
O Info
X Close
Page <
of 4
ZOOM
mx+Kx=F(t)
X(0):0
X=0
Problem 1:
A mass of 20 grams stretches a spring by 10/169 meters.
(a) Find the spring constant k, the angular frequency w, as well as the
period T and frequency f of free undamped motion for this spring-mass
system.
(b) Find the general solution x(t) of the DE for the free spring-mass
system.
(c) Suppose that an exterior force of
F(t) = 2.5 sin(12t) in Newtons
acts on the spring-mass system. Find the equation of motion (the solution
x(t)) of the system if the mass initially is at rest in its equilibrium position.
(Some hints: Start from the DE 1) with the correct values for m and k
and use the Method of Undetermined Coefficients to find a particular solution
X,(t). Then combine this with x(t) to find the general solution of 1).
Finally, use the initial conditions to determine the constants in the general
solution.)
11:55 AM
e Type here to search
3/6/2020
---------
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