Give the equation modeling the displacement as a function of time.?
An object moves in simple harmonic motion with period 6 minutes and amplitude 12m. At time=0 minutes, its displacement d from rest is 0m, and initially it moves in a negative direction.
Give the equation modeling the displacement as a function of time .
- NCSLv 72 months agoFavorite Answer
x = 12*sin(2πt/6 - π)
for x in meters and t in minutes.
- VamanLv 72 months ago
Let the displacement y be= a sin wt + b cos wt
Put the values a and b.
At t=0, y=0. This possible when b=0
Answer is y = a sin wt. Put the values y=12 sin (t/6). Initially, it moves to left.
y= -12 sin (t/6). In angles, you can write it as
y= -12 sin (2pi t/6)= 12 sin (2pi t/6+pi)
This seems to be the answer.