anonymous
  • anonymous
The displacement d (in meters) of an object at time t (in seconds) is given. d= -sin(t/9) (a) Describe the motion of the object. is it simple harmonic motion or damped motion? (b) What is the maximum displacement from its resting position? Round your answer to two decimal places. in meters (c) What is the time required for one oscillation? Round your answer to two decimal places. in seconds (d) What is the frequency? Round your answer to two decimal places. in oscillation/second
Mathematics
schrodinger
  • schrodinger
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amistre64
  • amistre64
simple harmonic i believe; there is no part of it that is accounting for a dampned effect
anonymous
  • anonymous
1 is the max displacement
amistre64
  • amistre64
the displacement from rest is the amplitude; which is 1 the initial displacement tho is -1

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anonymous
  • anonymous
it asks for decimal places tho?
anonymous
  • anonymous
initial disp is 0 amistre
amistre64
  • amistre64
1.0000 then lol
anonymous
  • anonymous
hahaha
anonymous
  • anonymous
hahaha
amistre64
  • amistre64
well.... yeah, initial = 0 :)
anonymous
  • anonymous
1/18pi is the frequency
anonymous
  • anonymous
and hence18pi is the time period for one oscillation
anonymous
  • anonymous
so max disp is 0 or 1?
amistre64
  • amistre64
1
amistre64
  • amistre64
are you accounting for the pi already in the problem? or are you atributing an external pi?
amistre64
  • amistre64
sin[(1/9)t]
anonymous
  • anonymous
see the eqn for shm is x=sin (wt)
anonymous
  • anonymous
and 2(pi)f=w
anonymous
  • anonymous
lol i got lost
anonymous
  • anonymous
so f=w/2pi
anonymous
  • anonymous
w=1/9 hence f = 1/18pi
amistre64
  • amistre64
i get turned around whe w = pi/n lol
anonymous
  • anonymous
and since T=1/f , T=18pi
amistre64
  • amistre64
http://www.wolframalpha.com/input/?i=-sin%28t%2F9%29 hims good on it
anonymous
  • anonymous
yeah waves were my forte ;)
anonymous
  • anonymous
so was c) 18pi ?
anonymous
  • anonymous
yes
anonymous
  • anonymous
did u follow the working?
anonymous
  • anonymous
lol got lost
anonymous
  • anonymous
would you mind explaining it to me?
anonymous
  • anonymous
do u know what simple harmonic motion is?
anonymous
  • anonymous
i did it before but forgot. is it got to do with the pendulums?
anonymous
  • anonymous
yeah...anything in shm follows the displacement eqn x = Asin(wt) w is called the angular frequency and equals 2pi x f where f is the frequency
anonymous
  • anonymous
and f=1/T where T is the time for one cycle or oscillation
anonymous
  • anonymous
i remember now haha
anonymous
  • anonymous
max disp from its resting position isnt 1 tho
anonymous
  • anonymous
then what?
anonymous
  • anonymous
-1?
anonymous
  • anonymous
im not sure. but the answer u got is 1.00? its not right for some reason
anonymous
  • anonymous
so its -1?
anonymous
  • anonymous
is it -1.00??
anonymous
  • anonymous
must be that then...
anonymous
  • anonymous
no it isn't.
anonymous
  • anonymous
it must be to two dp and be in meters
anonymous
  • anonymous
gotta be 1.00...dunno y its coming out wrong..
anonymous
  • anonymous
me either but it aint working. tried it already
anonymous
  • anonymous
cud it be 0
anonymous
  • anonymous
how do u work that part anyways?
anonymous
  • anonymous
hey amistre, the max disp from rest is turnin out wrong
anonymous
  • anonymous
i put in -1.00 and 1.00 both r wrong
amistre64
  • amistre64
thats becasue we assumed displacement = amplitude d = displacement; so we gotta work the formula :)
anonymous
  • anonymous
amplitude is defined as the max displacemnt from the mean position
amistre64
  • amistre64
it peaks at |+-1| it aint asking for the value of 't' at the max becasue there aint no interval to associate a single t into
amistre64
  • amistre64
have you tried it without the decimals?
amistre64
  • amistre64
just enter: 1
anonymous
  • anonymous
its my last shot tho lol
anonymous
  • anonymous
nah, it didnt work

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