A particle of mass m is at rest at the end of the spring (force constant k) hanging from a fixed support. At t=0, a constant downward force F is applied to the mass and acts for a time to. Show that after the force is removed, the displacement of the mass from its equilibrium position (x=xo, where x is down) is F x-x, =[cos @,(t-t,)-cos@̟t] k where w = k/m.
A particle of mass m is at rest at the end of the spring (force constant k) hanging from a fixed support. At t=0, a constant downward force F is applied to the mass and acts for a time to. Show that after the force is removed, the displacement of the mass from its equilibrium position (x=xo, where x is down) is F x-x, =[cos @,(t-t,)-cos@̟t] k where w = k/m.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![3. A particle of mass m is at rest at the end of the spring (force constant k) hanging from
a fixed support. At t=0, a constant downward force F is applied to the mass and acts
for a time to. Show that after the force is removed, the displacement of the mass from
its equilibrium position (x=xo, where x is down) is
F
-[cos @, (t-t,)- cos w,t]
k
x- X,
where w = k / m.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d2fdd51-a813-4b36-89e9-f9581acfc2ee%2F6820a7e8-f9f0-4edc-b092-3c2b0e5fda4e%2Fjwa3g8s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. A particle of mass m is at rest at the end of the spring (force constant k) hanging from
a fixed support. At t=0, a constant downward force F is applied to the mass and acts
for a time to. Show that after the force is removed, the displacement of the mass from
its equilibrium position (x=xo, where x is down) is
F
-[cos @, (t-t,)- cos w,t]
k
x- X,
where w = k / m.
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