SHMHard
Question
The displacement of a particle executing periodic motion is given by y = 4 cos2 (0.5t) sin (1000 t). The given expression is composed by minimum :
Options
A.four SHMs
B.three SHMs
C.three SHMs
D.None of these
Solution
y = 4 cos2 
sin (1000 t)
y = 2cos
y = sin (1001 t) + cos (1000 t) + sin (1000 t) + cos (1999 t)
y = sin (1001 t) + √2 sin (1000 t + π/4) + cos (999 t)
So the given expression is composed by three equation of S.H.M.
sin (1000 t)y = 2cos
y = sin (1001 t) + cos (1000 t) + sin (1000 t) + cos (1999 t)
y = sin (1001 t) + √2 sin (1000 t + π/4) + cos (999 t)
So the given expression is composed by three equation of S.H.M.
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