I need some step-by-step instruction for this question?: The equation of motion for a weight suspended from a particular spring is:
p(t) = 8sin(2t) - 4cos(2t)
Where p is the displacement from the equilibrium position in centimeters and t is the time elapsed in seconds. How many times does the weight pass through the equilibrium position in the first 4 periods.

Thank you!

Question

I need some step-by-step instruction for this question?:  The equation of motion for a weight suspended from a particular spring is:
p(t) = 8sin(2t) - 4cos(2t)
Where p is the displacement from the equilibrium position in centimeters and t is the time elapsed in seconds.   How many times does the weight pass through the equilibrium position in the first 4 periods. 

Thank you!

anonymous · Answer

please help!

phi · Answer

you should convert your equation to A cos(2t+d) to make it easier to analyze see http://www.mathcentre.ac.uk/resources/workbooks/mathcentre/web-rcostheta-alphaetc.pdf

loser66 · Answer

@agent0smith  I don't understand the question. Is it not that the weight will pass the equilibrium twice/period? I don't see any link between the problem with the question.Please, explain

loser66 · Answer

hey, dan

dan815 · Answer

find what is length of each period, how many times this euqation = 0 in that time

loser66 · Answer

dan, but the question doesn't ask about when, it asks about how many times?

anonymous · Answer

I know, I'm sorry, this question is poorly worded. That's why I am stuck.

anonymous · Answer

I didn't write it, it's on my homework!

dan815 · Answer

u see how many solutions there are for 0, in the total period specified

dan815 · Answer

the questions wording is fine xD

loser66 · Answer

dan, it's trig function, to answer how many times/ first 4 periods, is it not just 8?

dan815 · Answer

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