Then we did a problem that involved initial conditions related to velocity and position from which we infer a small negative phase factor. (see also video below.)
May 11 Notes:
...
Thursday, May 10, 2018
May 9 & May 11, notes and video.
This class (May 9) we looked closely at the nature of cos and sin in the vicinity of "zero argument".
Then we did a problem that involved initial conditions related to velocity and position from which we infer a small negative phase factor. (see also video below.)
May 11 Notes:
...
Then we did a problem that involved initial conditions related to velocity and position from which we infer a small negative phase factor. (see also video below.)
May 11 Notes:
...
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For solving for phi not, how do you know if phinot is positive or negative?
ReplyDeleteby the sign of the velocity. (positive in this case!
DeleteI mean the sign of the velocity is positive. Which, in the case you are asking about I think corresponds to a negative phase.
Deletewhich page is that on?
ReplyDeleteI see what you mean. The question was when is v=+31.4, and that requires that sin(...)=-1 because: 1) that is the maximum value of the velocity and 2) our general equation for velocity has a minus sign that you need to cancel. v(t)= - A w sin(...). Does that make sense?
ReplyDeleteSo to get the time when the velocity is a maximum, you need a time when sin(...) is equal to -1. (the sin function ranges between -1 and 1)