Consider the motion of a spring that is subject to a frictional force. We assume that the frictional force is proportional to the velocity of the mass and acts in the direction opposite to the motion with frictional force constant equal to c. The second order differential equation modeling this process is given by F =-kx

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.17P
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d r
a. m
dt2
da
+ kæ = 0
dt
O b. m-
+ kx +c=0
dt2
d'x
A C. m
dt?
dx
ka = 0
dt
d m
dt2
+c =0
Transcribed Image Text:Select one: d r a. m dt2 da + kæ = 0 dt O b. m- + kx +c=0 dt2 d'x A C. m dt? dx ka = 0 dt d m dt2 +c =0
Consider the motion of a spring that is subject to a frictional force. We assume that the
frictional force is proportional to the velocity of the mass and acts in the direction opposite
to the motion with frictional force constant equal to c. The second order differential
equation modeling this process is given by
F=-kx
m
eq
Transcribed Image Text:Consider the motion of a spring that is subject to a frictional force. We assume that the frictional force is proportional to the velocity of the mass and acts in the direction opposite to the motion with frictional force constant equal to c. The second order differential equation modeling this process is given by F=-kx m eq
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