The equation of motion of a particle is x= a cos (alpha t)^(2). The mo

1.	The equation of motion of a particle is x= a cos (alpha t)^(2). The motion is………..
Answer» PERIODIC but not OSCILLATORY periodic and oscillatory oscillatory but not periodic neither periodic nor oscillatory Solution :The equation of motion of a particle is `X= a COS (alpha t)^(2)` is a cosine function hence, motion is oscillatory. Now putting `t+T` INSTEAD of t, `x(t+T)= a cos [alpha (t+T)^(2)]""[therefore x(t) = a cos (alpha t)^(2)]` `=a cos [alpha t^(2) + alphaT^(2) +2 alpha t T] ne x(t)` where, T is a period of the function `omega (t)` Hence given motion is oscillatory but not periodic.

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