1. Vibration of an object about an equilibrium point is called simple harmonic motion when the restoring
force is proportional to
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OpenStudy (roadjester):
F=ma
F=-kx
-kx=ma
a= -(k/m) x
OpenStudy (raffle_snaffle):
^What he said...
OpenStudy (anonymous):
my answer choises are
time
displacement
a spring constant
mass
OpenStudy (raffle_snaffle):
why mass?
OpenStudy (roadjester):
spring constant
@raffle_snaffle my bad
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OpenStudy (raffle_snaffle):
Ahh lol
OpenStudy (raffle_snaffle):
You were scaring me there for a sec
OpenStudy (anonymous):
can yall help me with 6 more questions?
OpenStudy (roadjester):
F_s is the restoring force and F=ma so I just said mass
OpenStudy (roadjester):
sure thing
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OpenStudy (anonymous):
2. By what factor should the length of a simple pendulum be changed in order to triple the period of
vibration?
OpenStudy (anonymous):
3
6
9
27
OpenStudy (roadjester):
one sec, I need to do some quick math
OpenStudy (raffle_snaffle):
T = 2π√(L/g)
OpenStudy (raffle_snaffle):
Solve for L
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OpenStudy (roadjester):
ok, what he said
OpenStudy (roadjester):
lol
OpenStudy (anonymous):
6??
OpenStudy (roadjester):
nope
OpenStudy (raffle_snaffle):
How did you get 6?
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OpenStudy (raffle_snaffle):
Can I seeyour calculations?
OpenStudy (anonymous):
im not sure how to do it thats what my calculator got
OpenStudy (raffle_snaffle):
You might have plugged it in the calculator wrong.
OpenStudy (anonymous):
how do i plug it in? sorry im horrible at physics
OpenStudy (roadjester):
this isn't physics anymore, it's math
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OpenStudy (roadjester):
and you're not supposed to plug it in, you're supposed to use a ratio
OpenStudy (roadjester):
you have T1 and T2 where T2=3T1
so if you write it as a fraction
T2/T1 using the period equation that @raffle_snaffle wrote
you'll get your answer
OpenStudy (roadjester):
did that help at all?
OpenStudy (anonymous):
well ive narrowed it down to 3 or 9 but im leaning twords 9
OpenStudy (roadjester):
correct
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OpenStudy (roadjester):
good job
OpenStudy (roadjester):
uhh I think I may need to see the picture
OpenStudy (anonymous):
sorry i posted the wrong question
OpenStudy (roadjester):
actually, i'll be back, maybe 15 min
OpenStudy (anonymous):
4. The superposition of mechanical waves can be observed in the movement of
bumper cars
water waves in a ripple
electromagnetic radiation
violin bows in an orchestra
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OpenStudy (anonymous):
Hold it: did you end up concluding as you should that the restoring force needs to be proportional to the DISPLACEMENT?
OpenStudy (raffle_snaffle):
I don't think so. I thought it was K
OpenStudy (raffle_snaffle):
the constant K?
OpenStudy (anonymous):
Pendulum: period proportional to sqrt(L/g) so to get it 3x longer in time need L to be 9x longer in length.