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

- anonymous

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- amistre64

simple harmonic i believe; there is no part of it that is accounting for a dampned effect

- anonymous

1 is the max displacement

- amistre64

the displacement from rest is the amplitude; which is 1
the initial displacement tho is -1

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## More answers

- anonymous

it asks for decimal places tho?

- anonymous

initial disp is 0 amistre

- amistre64

1.0000 then lol

- anonymous

hahaha

- anonymous

hahaha

- amistre64

well.... yeah, initial = 0 :)

- anonymous

1/18pi is the frequency

- anonymous

and hence18pi is the time period for one oscillation

- anonymous

so max disp is 0 or 1?

- amistre64

1

- amistre64

are you accounting for the pi already in the problem? or are you atributing an external pi?

- amistre64

sin[(1/9)t]

- anonymous

see the eqn for shm is x=sin (wt)

- anonymous

and
2(pi)f=w

- anonymous

lol i got lost

- anonymous

so f=w/2pi

- anonymous

w=1/9 hence f = 1/18pi

- amistre64

i get turned around whe w = pi/n lol

- anonymous

and since T=1/f , T=18pi

- amistre64

http://www.wolframalpha.com/input/?i=-sin%28t%2F9%29
hims good on it

- anonymous

yeah waves were my forte ;)

- anonymous

so was c) 18pi ?

- anonymous

yes

- anonymous

did u follow the working?

- anonymous

lol got lost

- anonymous

would you mind explaining it to me?

- anonymous

do u know what simple harmonic motion is?

- anonymous

i did it before but forgot. is it got to do with the pendulums?

- 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

and f=1/T
where T is the time for one cycle or oscillation

- anonymous

i remember now haha

- anonymous

max disp from its resting position isnt 1 tho

- anonymous

then what?

- anonymous

-1?

- anonymous

im not sure. but the answer u got is 1.00? its not right for some reason

- anonymous

so its -1?

- anonymous

is it -1.00??

- anonymous

must be that then...

- anonymous

no it isn't.

- anonymous

it must be to two dp and be in meters

- anonymous

gotta be 1.00...dunno y its coming out wrong..

- anonymous

me either but it aint working. tried it already

- anonymous

cud it be 0

- anonymous

how do u work that part anyways?

- anonymous

hey amistre, the max disp from rest is turnin out wrong

- anonymous

i put in -1.00 and 1.00 both r wrong

- amistre64

thats becasue we assumed displacement = amplitude
d = displacement; so we gotta work the formula :)

- anonymous

amplitude is defined as the max displacemnt from the mean position

- 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

have you tried it without the decimals?

- amistre64

just enter: 1

- anonymous

its my last shot tho lol

- anonymous

nah, it didnt work

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