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Name: Ceferino Kevin A. Tan Course and Year: BSECE - 4EE 179.1 Section: 4! "a#orator$ Sc%edu&e: onda$ 1'-(

5.2 Exercise 1

)eferrin* to t%e mass-s+rin* s$stem e,am+&e:

1. &ot t%e +osition and t%e s+eed of t%e s$stem #ot% it% res+ect to time

in se+arate *ra+%s.

Graph of position vs time

Graph of velocity vs time

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Position vs. Time Velocity vs. Time

Name: Ceferino Kevin A. Tan Course and Year: BSECE - 4EE 179.1 Section: 4! "a#orator$ Sc%edu&e: onda$ 1'-(

'. C%an*e t%e va&ue of r to ' and (. &ot t%e +osition and s+eed #ot% it%

res+ect to time. /iscuss t%e resu&ts.

When r = 2

When r = 3

It can e sai! that "hen "e increase the val#e of r$ the sprin%

mo!ele! "ith the eation ecomes more nonlinear. ' sprin% is sai!

to e nonlinear if its velocity of oscillation chan%es !rastically over

time. 's can e seen in the velocity vs. time %raph for "hen r = 3$

"e can see that the sprin% has approache! its top spee! of 1.2 m(s

at approximately 3.5 s. We can see that the pea) spee! has een

re!#ce! after increasin% the val#e of r$ sho"in% that an increase in r

Position vs. Velocity vs.

8/18/2019 TAN Activity2 Section5.2

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Name: Ceferino Kevin A. Tan Course and Year: BSECE - 4EE 179.1 Section: 4! "a#orator$ Sc%edu&e: onda$ 1'-(

"ill res#lt in an increase! rate of oscillation #t a !ecrease in the

s"in% !istance.

3. 0it% r  12 var$ t%e va&ue of *  3mu&ti+&$ #$ ! and 15 and discuss t%e

resu&ts.With * = +5

With * = 15,

' hi%her sprin% constant "ill res#lt in a -o#ncier sprin%. That is$ a

hi%her sprin% constant res#lts in an increase! freency of

oscillation of the sprin% over a perio! of time. It is also noticeale

that the ran%e of motion has !ecrease! for increasin% val#es of the

sprin% constant$ *.