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.
Create a free account to view solution
View Solution FreeMore SHM Questions
The period of oscillation of mercury of mass m and density ρ poured into a bent tube of cross sectional area S whos...For a particle performing SHM :...The potential energy of a 1 kg particle free move along the x-axis is given by V(x) = J The total mechanical energy of t...Two masses m1 and m2 are suspended together by a massless spring of constant k. When the masses are in equilibrium, m1 i...A smooth inclined plane having angle of inclination 30o with horizontal has a mass 2.5 kg held by a spring which is fixe...