Question

does coswt +sin2wt +cos4wt represent periodic motion? if yes then find time period (w is any positive constant)
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plz ans it fast...
I need it very urgent

Answer 1

yes they represent period and periodic is
LCM of (2pi/w,2pi/2w,2pi/4w)=2pi/2w=pi/w
hence period is pi/w

Answer 2

Answer:

Yes, the above expression represents the periodic motion.

Explanation:

Each term represent a periodic function with different angular frequency. Period is the least interval of time after which a function repeats its value. Here coswt has a period T' = 2pi/w , sin 2wt has T= T'/2 and similarly cos 4wt has T"= T'/4....The period of the first term is a multiple of the last two terms. Therefore the smallest interval of time after which the sum of the three repeats itself is 2pi/w. I hope you understood......